Answer:
0.14
Step-by-step explanation:
Let h(x)=|2x|-4. Find h(x) when x = -7.
a)-10
b) 10
c) -13
d) 13
Plzzz
A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer.
Color White Black Silve Rose Gold
Frequency 99 135 89 27
Can the company conclude that their expected distribution was accurate using a 10% level of significance?
a. Calculate the test statistic.
b. Determine the critical value(s) for the hypothesis test.
c. Conclude whether to reject the null hypothesis or not based on the test
a)
The test statistics is χ² = 8.31
b)
The critical value is 6.251.
c)
We reject the null hypothesis that the expected distribution is accurate.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
a.
To test whether the expected distribution was accurate, we need to perform a chi-square goodness-of-fit test.
The null hypothesis is that the expected distribution is accurate, and the alternative hypothesis is that it is not accurate.
The expected frequencies are:
Color:
White Black Silver Rose Gold
105 122.5 70 52.5
i.e
Expected Freq:
0.3 x 350 = 105
0.35 x 350 = 122.5
0.2 x 350 = 70
0.15 x 350 = 52.5
Using the formula for the chi-square goodness-of-fit test statistic:
χ² = ∑ (Observed Frequency - Expected Frequency)² / Expected Frequency
χ² = [(99-105)²/105] + [(135-122.5)²/122.5] + [(89-70)²/70] + [(27-52.5)²/52.5]
χ² = 8.31
b.
The critical value for the chi-square test with 3 degrees of freedom (4 categories - 1) and a significance level of 0.10 is 6.251.
c.
Since the calculated test statistic (8.31) is greater than the critical value (6.251), we reject the null hypothesis that the expected distribution is accurate.
Therefore, the company cannot conclude that their expected distribution was accurate using a 10% level of significance.
Thus,
a)
The test statistics is χ² = 8.31
b)
The critical value is 6.251.
c)
We reject the null hypothesis that the expected distribution is accurate.
Learn more about hypothesis testing here:
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ryan climbed 100 steps in 50 seconds. How many steps did he climbed per second? Step by step. Show the full procedure.
In a gambling game, you roll 2 die and if you toss 2 sixes, you win $100, otherwise you lose $5.
a. What is the chance you win?
b. What is the expected value of the game?
Answer:
a. [tex]\frac{1}{36}[/tex] chance you win.
b. The expected value of the game is -$2.08.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
You roll 2 die and if you toss 2 sixes
For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:
[tex]p = (\frac{1}{6})^2 = \frac{1}{36}[/tex]
a. What is the chance you win?
[tex]\frac{1}{36}[/tex] chance you win.
b. What is the expected value of the game?
1/36 probability of winning 100.
35/36 probability of losing 5. So
[tex]E = \frac{1}{36}*100 - \frac{35}{36}*5 = \frac{100 - 175}{36} = -\frac{75}{36} = -2.08[/tex]
The expected value of the game is -$2.08.
I need help ASAP it’s 25 points
Answer:
the same number of games
Step-by-step explanation:
Answer:
Mathematics is really hard too bad I don't know the answer is it 100
9 +10 =
please help
I will give brainliest and 5 star and 10 points for the best answer
Answer:
910
Step-by-step explanation:
just remove the plus sign (+) to get your answer :)
what is the answer to 5 + 5
Answer:
10
Step-by-step explanation:
what is -2.14285714 rounded to the nearest whole
Answer:
-2
Step-by-step explanation:
If each person uses 70 gallons of water per day, how many gallons will 57 people use in a day?
3990
Step-by-step explanation:
57*70=3990
Ms. Gittens went out to dinner and the total bill was $60. She wants to give the waiter a %20 tip. How much money should Ms. Gittens give the waiter for a tip?
Answer:
$12
Step-by-step explanation:
20% of 60 = 12
Answer:
12 .....20% of 60 is = 12
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = -3/2x - 2
y int is -2
x int is -3/2
I NEED HELP ASAP!!! PLEASE HELP!!!
Answer:
from B we get y = -2x + 2
part c: slope, m =-2 and b=2
Step-by-step explanation:
Fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to help you solve the addition equation.
K = 8
K = 9
K = 17
K = 26
Answer:
k=8
Step-by-step explanation:
9+8 = 17
Answer:
Please pick Answer A
Step-by-step explanation:
MARKIPLIER AND LIXIAN
what is the volume of this composite solid
Answer:
C
Step-by-step explanation:
198 cubic meters
what is 9/68x17/6 in simplest form
Answer:
3/8
Step-by-step explanation:
Multiply, then divide.
The ratio of green to white candles is 2:5. If there are 32 green candles, how many white candles are there?
Answer:
80?
Step-by-step explanation:
Answer:
80 white candles
Step-by-step explanation:
I use a way that makes it easy for me
2:5 means [tex]\frac{2}{5}[/tex]
so when you write [tex]\frac{2}{5} =[/tex][tex]\frac{32}{x}[/tex]
that means you do the cross multiplication method which makes the equation go that way:
[tex]2x=32*5[/tex]
so
[tex]2x=160\\x= 80[/tex]
Estimate the diameter of a circle with a circumference of 80 ft. Use 3.14 for pi
Round your answer to the nearest hundredth if necessary. Estimate the diameter of a circle with a circumference of 80 feet.
A car travels 56 miles in 3.5 hours.
a. What is the unit rate?
b. How long will it take the car to travel 120 miles?
c. How far will the car travel in 6 hours?
What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?
please someone help me, ill give brainiest pls just help me its my last question on math:
Which comparison is correct?
1 2 3 or 4
1. 7 < 3
2. -2 > -7
3. -9 > 4
4. -6 > -5
Answer:
2. -2> -7 ...............
Write the expanded form for each expression.
2(i + 5j)
-0.4(h - 1)
i(8 + 2h-6)
Answer:
2i + 10j
-0.4h + 0.4
8i +2hi - 6i = 2i + 2hi
If $6,000 is invested for 5 years with a 3.5% yearly interest rate, what is the amount of simple interest earned?
Answer:
1,050
Step-by-step explanation:
Simple Interest = Principle×Rate×Time/100
=6,000×5×3.5/100
=1,050
Which equation represents 7/3 ? Select all that apply.
What is the value of y when x equals 10 (y=2x+1)
Answer:
y= 21
Step-by-step explanation:
2*10+1= y
20+1= 21
y = 21
3
1
+a=
4
5
mmmmmmmmmmmmmmmmmmmmmmmmm
i'm confused, can you tell me the question?
Select the equation that has no real solution.
Answer:
12x + 15 = 12x - 15 can not be solved.
We can not find out what x equals.
Step-by-step explanation:
You can solve - 5x - 25 = 5x + 25
x = - 5
You can solve 7x + 21 = 21
x = 0
You can solve 12x + 15 = 3(4x + 5)
x = AllRealNumbers
That leaves 12x + 15 = 12x - 15
This equation can not be solved
Suppose a pack of candy bars has 4 bars. Each bar weighs 3.38 ounces. How much does the pack weigh?
Answer:
13.52 ounces I think...
Step-by-step explanation:
4x3.38 subtract the decimal and add it again...
In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured. Eighteen randomly selected plots of land were treated with fertilizer A. The average yield, in pounds, was 457 with a standard deviation of 38. Twelve randomly selected plots were treated with fertilizer B. The average yield was 394 pounds with a standard deviation of 23. Find a 99% confidence interval for the difference between the mean yields for the two fertilizers. (Round down the degrees of freedom to the nearest integer and round the final answers to two decimal places.)
The 99[tex]\%[/tex] confidence interval for the difference between the mean yields for the two fertilizers is (32.11, 93.89).
A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence.
Given that
Sample 1:
Sample mean, [tex]\bar{X_1}[/tex] = 457,
Sample size, [tex]n_1[/tex] = 18,
Standard deviation, [tex]s_1[/tex] = 38.
Sample 2:
Sample mean, [tex]\bar{X_2}[/tex] = 394,
Sample size, [tex]n_2[/tex] = 18,
Standard deviation, [tex]s_2[/tex] = 23.
Point estimate = [tex]\bar{X_1}[/tex] - [tex]\bar{X_2}[/tex]
= 457 - 394
= 63.
[tex]Standard Error=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }\\[/tex]
[tex]=\sqrt{\frac{38^2}{18}+\frac{23^2}{18} }\\=11.14924[/tex].
Level of significance, α = 0.01 (given that 99[tex]\%[/tex] confidence interval).
Degrees of freedom = [tex]\dfrac{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2})^2 }{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1} + \frac{(\frac{s_2^2}{n_2})^2}{n_2-1} }[/tex] = 28.
Critical values:
[tex]t_\frac{\alpha}{2} = \pm2.771[/tex]
The confidence interval is
[tex](\bar{X_1}-\bar{X_2})\pm t_\frac{\alpha}{2}\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }[/tex]
[tex]= 63 \pm 2.771 \times 11.14924\\=63 \pm 30.89\\=(63-30.89,63+30.89)\\=(32.11,93.89)[/tex]
Hence, the confidence interval is (32.11, 93.89).
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what is the value of 3n to the power of 2 - 4m divided by 6 when m= 4 and n=18? (16 POINTS)
Answer:
this video might be able to help you. It reviews how to determine the sum of n squares and exponential equation solving using exponential properties.
Answer:
5,829.4
Step-by-step explanation:
3n*2times2-4m/6
54*2times2-16/6
2,916times2-16/6
5,832-16/6
5,832-2.6
Answer: 5,829.4
Sorry if I’m wrong
On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (negative 10, negative 10), (negative 10, negative 4), and (4, negative 10). Triangle D E F has points (0, 8), (12, 4), and (5, 0). Which statement is true of the right triangles ABC and DEF? Area of ABC is greater than area of DEF. Area of ABC is less than area of DEF. Area of ABC is equal to the area of DEF. There is not enough information to compare the areas of triangles ABC and DEF.
Answer:
Area of ABC is greater than area of DEF
Step-by-step explanation:
Answer:
A. Area of ABC is greater than area of DEF.