Answer:
[tex]c_n=9\,n-1[/tex]
Step-by-step explanation:
Recall that the general formula for the nth term of an arithmetic sequence is given by:
[tex]c_n=c_1+(n-1)\,d[/tex]
where [tex]c_1[/tex] is the first term of the sequence (in our case 8), and [tex]d[/tex] is the common difference for the sequence (the number that is added to a term in order to get the term that follows. In our case, "9" is the common difference (you can check this by subtraction between any two consecutive terms.
Then, the formula for the nth term of this sequence is
[tex]c_n=8+(n-1)\,9=8+9\,n-9=9\,n-1[/tex]
The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. If a single egg is randomly selected, what is the probability that the egg will be with cholesterol content greater than 220 milligrams
Answer:
"The probability that the egg will be with cholesterol content greater than 220 milligrams" is 0.37070 (37.070% or simply 37%)
Step-by-step explanation:
We have here a normally distributed random variable. The parameters that characterize this distribution is the mean, [tex] \\ \mu[/tex], and the standard deviation, [tex] \\ \sigma[/tex].
In this question, we have that:
[tex] \\ \mu = 215[/tex] milligrams.[tex] \\ \sigma = 15[/tex] milligrams.And we want to know the probability that a randomly selected single egg "will be with cholesterol content greater than 220 milligrams."
To answer the latter, we need to use the following key concepts:
Z-scores.The cumulative standard normal distribution, andThe [cumulative] standard normal table.The z-scores are standardized values and represent the distance (for the raw score) from the mean in standard deviations units. A positive z-score indicates that it is above [tex] \\ \mu[/tex] and, conversely, a negative result that the value is below it.
The cumulative distribution function generates the values for the cumulative standard normal distribution displayed in the standard normal table.
The standard normal distribution is employed to find probabilities for any normally distributed data and we only need to calculate the corresponding z-score (or standardized value). This distribution has a [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex].
As we can see, all of these concepts are intertwined, and each of them is important because:
To find the corresponding probability, we first need to obtain the z-score.After this, we can consult the standard normal table, whose values are tabulated from the cumulative standard normal distribution, to find the requested probability.Finding the probability
We can get the z-score using the formula:
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]
Where x is the raw value we want to standardize using the previous formula, and, in this case is 220 milligrams, [tex] \\ x = 220[/tex] milligrams.
Thus (without using units):
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]
[tex] \\ z = \frac{220 - 215}{15}[/tex]
[tex] \\ z = \frac{5}{15}[/tex]
[tex] \\ z = \frac{5}{5} * \frac{1}{3}[/tex]
[tex] \\ z = 1 * \frac{1}{3}[/tex]
[tex] \\ z = 0.3333333...[/tex]
To consult the standard normal table, we only need [tex] \\ z = 0.33[/tex], because it only has values for two decimal digits. As a result, the value will be a little inexact (but near to the true value) compared to that obtained using statistical software (or maybe a more precise table).
With this value (which is positive and, therefore, above the mean), we need to carefully see the first column of the mentioned table to find z = 0.3. Then, in the first row, we only need to select that column for which we can add the next digit, in this case, 3 (it appears as +0.03). That is, we are finding the probability for [tex] \\ z = 0.33[/tex].
Then, the cumulative probability for [tex] \\ z = 0.33[/tex] is:
[tex] \\ P(x<220) = P(z<0.33) = 0.62930[/tex]
However, the question is asking for "cholesterol content greater than 220 milligrams" or
[tex] \\ P(x>220) = P(z>0.33)[/tex]
Since
[tex] \\ P(x<220) + P(x>220) = 1[/tex]
Which is the same for a standardized value:
[tex] \\ P(z<0.33) + P(z>0.33) = 1[/tex]
Then
[tex] \\ P(z>0.33) = 1 - P(z<0.33)[/tex]
Therefore
[tex] \\ P(x>220) = P(z>0.33) = 1 - P(z<0.33)[/tex]
[tex] \\ P(x>220) = 1 - P(z<0.33)[/tex]
[tex] \\ P(x>220) = 1 - 0.62930[/tex]
[tex] \\ P(x>220) = 0.37070[/tex]
Thus, "the probability that the egg will be with cholesterol content greater than 220 milligrams" is 0.37070 (37.070% or simply 37%).
The graph below shows a shaded area that corresponds to the found probability.
Mr. Taylor filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.54 probability of guessing any one game correctly. (a) What is the probability Mr. Taylor will pick all 32 of the first round games correctly
Answer:
The probability is [tex]2.7327 \times 10^{-9}[/tex]
Step-by-step explanation:
The probability of guessing correctly, P = 0.54
Probability of not guessing correctly, q = 1 – P
q = 1 – 0.54 = 0.46
Number of trials, n = 32
Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.
Below is the calculation using binomial distribution.
[tex]Probability = \left ( _{k}^{n}\textrm{} \right )P^{k}(1-P)^{(n-k)} \\= \left ( _{32}^{32}\textrm{} \right )0.54^{32}(0.46)^{(32-32)} \\= 0.54^{32} \\= 2.7327 \times 10^{-9}[/tex]
what is the value of y
Answer:
y=54 degrees
Step-by-step explanation:
2y+72=180
2y=108
y=54
Answer:
B
Step-by-step explanation:
72 + y + y = 180
72 + 2y = 180
2y = 108
2y/2 = 108/2
y = 54
Hope this helps ^-^
Please help mehhh please!!
Answer:
It says your picture failed to load
Step-by-step explanation:
did it only happen to me or other people
Answer:
fraction: 70/100
decimal: 0.7
percent: 70%
Step-by-step explanation:
hope dis helps u! mark as brainlest if possible!
The area of a rectangle is 352in2. If the width of the rectangle is x inches, write a function for the perimeter, P(x)
Answer:2x2
Step-by-step explanation:
Google I would like to purchase 10 bags of chicken wings the store is selling three bags for $51.00 what is the cost of 10 bags of chicken wings
a. 61.00
b. 71.00
c. 170.00
d. 130.00
Answer:
A 61.00
Step-by-step explanation:
51 Added to 10 Equals 61.00 which is the Cost of 10 Bags of chicken Wings. Your Welcome.
Please help! I need help desperately and fast! Easy middle school math!
Hey there! :)
Answer:
y = 8x + 6
Step-by-step explanation:
Slope-intercept form of an equation is:
y = mx + b
Rearrange the given equation to be in this format by isolating the 'y' variable:
8x - y = -6
Subtract -8x from both sides:
-y = -8x - 6
Divide both sides by -1:
y = 8x + 6
This is the slope-intercept form!
Which part of Earth belongs to the geosphere?
air
plants
minerals
water
Help plz
Answer: Minerals
Step-by-step explanation:
The Mineral belongs to the geosphere option (3) Mineral is correct.
What is the geosphere?Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole. Different mass and/or energy flows can be exchanged between the various geosphere collectives.
We have a statement:
Which part of Earth belongs to the geosphere?
The options are:
airplantsmineralswaterAs we know, air belongs to the atmosphere.
Plants belong to the biosphere
Water belongs to the hydrosphere
Mineral belongs to the geosphere
The mineral is the part of the earth that belongs to the geosphere.
Thus, the Mineral belongs to the geosphere option (3) Mineral is correct.
Learn more about the geosphere here:
https://brainly.com/question/5137630
#SPJ5
What is simplified expression for the expression below
Answer:
9x +17
Step-by-step explanation:
distrubute the numbers outside of the parenthesis to the inside. You would then be left with 4x +32 + 5x -15 from there you would combine like terms leaving you with 9x + 17
Regression modeling is a statistical framework for developing a mathematical equation that describes how: a. One explanatory and one or more response variables are related b. Several explanatory and several response variables response are related c. One response and one or more explanatory variables are related d. All of these are correct
Answer:
c. One response and one or more explanatory variables are related.
Step-by-step explanation:
Regression shows the relationship between a given variable and its covariates, which can be one or more. The initial variable is the dependent or response variable selected to show its level of variation with respect to one or more independent or explanatory variables.
Therefore, regression modeling describes how one response is related to one or more explanatory variables.
The radius of a circle increases from 2 inches to 3 inches. By how many square inches does its area increase? A)5 pi B)2 pi C)Pi D)pi^2
Answer:
A)5 pi
Step-by-step explanation:
To get the increase, we must find the area of the circle when the radius was 2 inches and subtract it from the area of the circle when the radius increases to 3 inches. The difference is the increase in the area of the circle.
A circle of radius r has an area A given as
A = Pi r²
Hence when the radius was 2 inches, the area A
= Pi × 2²
= 4 Pi square inches
when the radius increases to 3 inches, the area
= Pi × 3²
= 9 Pi square Inches
The increase in area
= 9 Pi - 4 Pi
= 5 Pi
Jamie is investing $47,000 in an account paying 9.26% interest compounded continuously. What will Jamie's account balance be in 17 years?
9514 1404 393
Answer:
$226,863.29
Step-by-step explanation:
The amount is given by ...
A = Pe^(rt)
where principal P is invested at annual rate r for t years.
A = $47,000×e^(0.0926×17) ≈ $226,863.29
Answer:
the answer is $226,863.29
Please help me. Please!!
What expression is equivalent to -6(-2/3+2x)
a. - 4 - 12x
b. - 4 + 2x
c. 4 - 12x
d.4 + 12x
Answer:
B
Step-by-step explanation:
Answer:
[tex] = 4 - 12x \\ [/tex]
Answer C is correct.
Step-by-step explanation:
[tex] - 6( - \frac{2}{3} + 2x) \\ \frac{12}{3} - 12x \\ = 4 - 12x[/tex]
hope this helps you.
A rectangular bin is going to be made with a volume of 492 in3. The base of the bin will be a square and the top will be open. The cost of the material for the base is 0.8 cents per square inch, and the cost of the material for the sides is 0.6 cents per square inch. Determine the dimensions of the bin that will minimize the cost of manufacturing it. What is the minimum cost
Answer:
base side = 9.037 inches
height = 6.024 inches
Minimum cost = 196 cents
Step-by-step explanation:
The volume of the bin is given by:
[tex]Volume = side^2 * height[/tex]
and the surface area of the bin is given by:
[tex]Surface\ area = side^2 + 4*side*height[/tex]
The cost of the bin will be:
[tex]Cost = 0.8*side^2 + 0.6*4*side*height[/tex]
[tex]Cost = 0.8*side^2 + 2.4*side*height[/tex]
From the volume equation, we have:
[tex]height = 492 / side^2[/tex]
Now the cost will be:
[tex]Cost = 0.8*side^2 + 2.4*side*492/side^2[/tex]
[tex]Cost = 0.8*side^2 + 1180.8/side[/tex]
To find the side that gives the minimum cost, we can find the derivative of Cost in relation to side and then make it equal zero:
Abbreviating Cost as C and side as s, we have:
[tex]dC/ds = 0.8*2*s - 1180.8/s^2[/tex]
[tex]1.6s - 1180.8/s^2 = 0[/tex]
[tex]1.6s = 1180.8/s^2[/tex]
[tex]1.6s^3 = 1180.8[/tex]
[tex]s^3 = 738[/tex]
[tex]s = 9.037\ in[/tex]
Finding the height of the bin, we have:
[tex]height = 492 / 9.037^2[/tex]
[tex]height = 6.024\ in[/tex]
The minimum cost is:
[tex]Cost = 0.8*9.037^2 + 1180.8/9.037 = 196\ cents[/tex]
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. It is believed that the machine is underfilling the bags. A 44 bag sample had a mean of 438 grams. Assume the population variance is known to be 576. A level of significance of 0.1 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
Answer:
p value is 0.1343
Step-by-step explanation:
Null: u>= 442
Alternative: u < 442
Using the formula for z score:
(x - u)/sd/√n
Where x is 438, u = 442 sd can be determined from the variance = √variance =√576 = 24 and n = 44
z score = 438-442 / (24/√44)
z score = -4/(24/6.6332)
z = -4/3.6182
z =-1.1055
Now let's find the p value at 0.1 significance level using a z score of -1.1055, using a p value calculator, p value is 0.1343 which greatest than 0.1 meaning the day is not sufficient enough to conclude that the machine is underfilling the bags.
what polynomial has roots of -5, - 4 and 1
Answer:
[tex]\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }[/tex]
Step-by-step explanation:
hello,
(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1
[tex](x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20[/tex]
hope this helps
Find the interquartile range (IQR) of the data in the dot plot below. luis lacrosse scoring each season pls helpppppppppppppppp
Answer:
3.5
Step-by-step Explanation:
To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:
==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.
Thus, we would have:
43 (1 dot)
44, 44, 44 (3 dots)
45, 45(2 dots)
47 (1 dot)
48, 48 (2 dots)
Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48
==>Step 2: Find the median
Our median value is the middle value of our data set. Thus:
43, 44, 44, 44, | 45, | 45, 47, 48, 48
Our median would be 45.
==>Step 3: Find the upper and lower median (Q3 & Q1):
Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.
Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:
43, (44, 44,) 44, | 45, | 45, (47, 48,) 48
Upper median (Q3) = (47+48) ÷ 2 = 47.5
Lower median (Q1) = (44+44) ÷ 2 = 44
==>Step 4: Subtract the lower median from the upper median to get the IQR.
IQR = Upper median (Q3) - Lower median (Q1)
IQR = 47.5 - 44
IQR = 3.5
Answer:
3.5
Step-by-step Explanation:
To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:
==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.
Thus, we would have:
43 (1 dot)
44, 44, 44 (3 dots)
45, 45(2 dots)
47 (1 dot)
48, 48 (2 dots)
Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48
==>Step 2: Find the median
Our median value is the middle value of our data set. Thus:
43, 44, 44, 44, | 45, | 45, 47, 48, 48
Our median would be 45.
==>Step 3: Find the upper and lower median (Q3 & Q1):
Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.
Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:
43, (44, 44,) 44, | 45, | 45, (47, 48,) 48
Upper median (Q3) = (47+48) ÷ 2 = 47.5
Lower median (Q1) = (44+44) ÷ 2 = 44
==>Step 4: Subtract the lower median from the upper median to get the IQR.
IQR = Upper median (Q3) - Lower median (Q1)
IQR = 47.5 - 44
IQR = 3.5
What is the sampling method used in the following scenario? The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.
Answer:
Step-by-step explanation:
The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.
Which would be appropriate compatible numbers to use to estimate ( 19 4 5 ) ( 4 6 ) ? Using this compatible number, what is the estimated product?
Answer: first box is 20 (1/2)
Second box is 10
Answer:
Answer: first box is 20 (1/2)
Second box is 10
Step-by-step explanation:
Fraud detection has become an indispensable tool for banks and credit card companies to combat fraudulent credit card transactions. A fraud detection firm has detected some form of fraudulent activities in 2%, and serious fraudulent activities in 0.75% of transactions. Assume that fraudulent transactions remain stable.
a. What is the probability that fewer than 2 out of 110 transactions are fraudulent?
b. What is the probability that fewer than 2 out of 105 transactions are seriously fraudulent?
Answer:
a) 35.17% probability that fewer than 2 out of 110 transactions are fraudulent
b) 81.35% probability that fewer than 2 out of 105 transactions are seriously fraudulent
Step-by-step explanation:
For each transaction, there are only two possible outcomes. Either they are fradulent(or seriously fraudulent), or they are not. Transactions are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. What is the probability that fewer than 2 out of 110 transactions are fraudulent?
2% are fraudulent, so [tex]p = 0.02[/tex]
110 transactions, so [tex]n = 110[/tex]
This is
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{110,0}.(0.02)^{0}.(0.98)^{110} = 0.1084[/tex]
[tex]P(X = 1) = C_{110,1}.(0.02)^{1}.(0.98)^{109} = 0.2433[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1084 + 0.2433 = 0.3517[/tex]
35.17% probability that fewer than 2 out of 110 transactions are fraudulent.
b. What is the probability that fewer than 2 out of 105 transactions are seriously fraudulent?
0.75% are seriously fraudulent, so [tex]p = 0.0075[/tex]
105 transactions, so [tex]n = 105[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = 0) = C_{105,0}.(0.0075)^{0}.(0.9925)^{105} = 0.4536[/tex]
[tex]P(X = 1) = C_{105,1}.(0.0075)^{1}.(0.9925)^{104} = 0.3599[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4536 + 0.3599 = 0.8135[/tex]
81.35% probability that fewer than 2 out of 105 transactions are seriously fraudulent
help please with the graph questions
the ball is at the highest point 2 second after it has been thrown. True or false?
Around 2.5 seconds after the ball is thrown, it carries on going. Up or Down?
Answer:
1. True.
2. Down.
Step-by-step explanation:
1. True. The ball is at its highest point between 1.5 seconds and 2 seconds after it has been thrown. So we round off the time to nearest second to get 2 seconds.
So the ball is at the highest point 2 seconds after it has been thrown.
2.Down. Around 2.5 seconds after the ball is thrown, it carries on going down since the height is decreasing as the time moves on.
What is the product -3 1/3of -8 7/10 and ?
Answer:
Brainliest!!!
Step-by-step explanation:
See picture!!
Answer:
29
Step-by-step explanation:
Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides. The area of EFGH is 35 square units. What is the value of x? 4 units 5 units 6 units 7 units
*see attachment for the figure described
Answer:
5 units
Step-by-step explanation:
==>Given the figure attached below, let where FH and EG intercepted be K.
Since FH are midpoints of parallel lines, KE = KG = x.
Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.
Area of kite = ½ × d1 × d2
Where d1 = KH = 7
d2 = EG = KE + KG = x + x = 2x
Area of kite EFGH = 35
THUS:
35 = ½ × 7 × 2x
35 = 1 × 7 × x
35 = 7x
Divide both sides by 7
35/7 = x
x = 5
Answer:
5 units
Step-by-step explanation:
If this net where folded into a cube,which number would be opposite the number 1
Answer:
if the net where to be folded into a cube number 6 will be opposite number 1.
Step-by-step explanation:
If the net where folded into a cube the number that will be opposite to number 1 will be 6 . The best way to know this is by simply cutting a paper similar to the shape of the net above and numbering them as required . Folding the paper to form a cube, you will discover that the number 6 is opposite the number 1 value.
Or from the picture you will notice when you close the number 5, the number 4 will be on top of number 1 and the 6 can then be bend down which makes it opposite the number 1.
if the vertex of a parabola is negative for 6 and the other point of the curve is (-3,14) what is the coefficient of the squared expression in Parabola equation?
A. 6
B. 4
C. 8
D. 2
Answer:
coefficient of the square is a.6
Please answer this correctly
problem decoded dude
thank and follow meh
Answer:
50%
Step-by-step explanation:
There are 6 sides on a die, three Of Which are even and 3 odd.
the even ones are 2,4 and 6 and the odds are 1, 3 and 5
since there are 3 evens, u divide it by the total number of outcomes 6 which is 1/2 or 50percent
f(x) = (x + 2)(x + 2)
[tex]\displaystyle f(x) = (x + 2)(x + 2)[/tex]
[tex]\displaystyle f(x) = (x + 2)^2[/tex]
Answer:
[tex]f(x) = {(x + 2)}^{2} [/tex]
Step-by-step explanation:
[tex]f(x) = (x + 2)(x + 2) \\ f(x) = {(x + 2)}^{2} [/tex]
hope this helps you.
Annapolis Company's bank statement indicated an ending cash balance of $9,340. Alpha's accountant discovered that outstanding checks amounted to $865 and deposits in transit were $840. Additionally, the bank statement showed service charges of $25. What is the correct adjusted ending cash balance
Answer:
The correct answer is $9,315
Step-by-step explanation:
Solution
Given that:
The ending cash balance = $9340
Checks outstanding amounted to = $865
The deposit in transit = $840
Bank statement service charges = $25
Now,
We will find the correct adjusted ending cash balance which is given below:
Correct adjusted ending cash balance = Unadjusted Balance - Outstanding Check + Deposit in transit
= $9,340 - $865 + $840
=$8,475 + $840
=$9,315
Hence,
The correct adjusted ending cash balance is $9,315
The valve was tested on 270 engines and the mean pressure was 6.6 lbs/square inch. Assume the variance is known to be 0.49. If the valve was designed to produce a mean pressure of 6.5 lbs/square inch, is there sufficient evidence at the 0.1 level that the valve does not perform to the specifications
Answer:
[tex]z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347[/tex]
The p value for this case would be given by"
[tex]p_v =2*P(z>2.347)=0.0189[/tex]
For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications
Step-by-step explanation:
Information given
[tex]\bar X=6.6[/tex] represent the sample mean
[tex]s=\sqrt{0.49}= 0.7[/tex] represent the population deviation
[tex]n=270[/tex] sample size
[tex]\mu_o =6.5[/tex] represent the value that we want to test
[tex]\alpha=0.1[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value for the test
Hypothesis to verify
We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:
Null hypothesis:[tex]\mu= 6.5[/tex]
Alternative hypothesis:[tex]\mu \neq 6.5[/tex]
The statistic for this case is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
And replacing we got:
[tex]z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347[/tex]
The p value for this case would be given by"
[tex]p_v =2*P(z>2.347)=0.0189[/tex]
For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications
Please answer this correctly
Answer:
33.3%
Step-by-step explanation:
The numbers greater than 6 from the spinner are 7 and 8.
2 numbers out of total 6 numbers.
2/6 = 1/3
= 0.333
= 33.3%