The nominal resistance of a wire is 0.15 Ohm. Random testing of the wire stock yields the following resistance data:
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
Does the sign test yield the conclusion, at the 5% significance level, that the median resistance is less than 0.15 Ohm?
Answer:
The median resistance of the wire is not small than 0,15 Ω at 0,05 of level of significance
Step-by-step explanation:
From data we get x ( sample mean ) s ( sample standard deviation) and n size of the sample
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
n = 16
x ≈ 0,1487
s = 0,00193
Test Hypothesis
1.-Null Hypothesis H₀ x = μ₀ = 0,15
Alternative Hypothesis Hₐ x < 0,15
We assume data follows normal distribution
as n = 16 we should use a t-student table
As the question is : "Is the median resistance less than 0,15 0hm " we must use one-tail-test ( to the left)
Then:
2.-Significance level α = 5 % α = 0,05
degree of freedom n = 16 df = n - 1 df = 15
From t-table we find t(c) = 1,7531 at the left is t(c) = - 1,7531
3.-t(s) = ( x - 0,15 ) / s / √n
t(s) = 0,1487 - 0,15 / 0,00193/√16
t(s) = - 0,0013 * 4 / 0,00193
t(s) = - 2,69
4.- Comparing t(s) and t(c)
|t(s) | > |t(c)| 2,69 > 1,753
Then t(s) is in the rejection region
5.- We reject H₀ . At 95 % of confidence Interval
three friends go to a book fair . alvin speends 2.60 . prabhjot spends 4 times as much as alvin . stephanie spends 3.45 less then prabhjot . how much does stephanie spends?
Answer:
6.95
Step-by-step explanation:
to find how much stephanie spends for first we will find how much probhjot spends and then subtract 3.45 dollars from that value alvin spends 2.60 dollars
prohbjot spends 4 times as much as alvin or
4× 2.60=10.4
so prohbjot spends 10.4 dollars
stephanie spends3.45 dollars less than prohbjot or
10.4 -3.45 =6.95
so stephanie spends 6.95 dollars
Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?
Answer:
290in
Step-by-step explanation:
45,678 in expanded form
Answer:
40,000 + 5000 + 600 + 70 + 8
Step-by-step explanation:
take the numbers all off and break them down by their value.
find ratio of 13cm : 65m
Answer:
1:5
Step-by-step explanation:
13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?
WILL GIVE BRAINLIST BLS HELP Find z. Just write the number. Answer should be a whole number.
Answer:
I think the anwser is 8
Step-by-step explanation:
Answer:
It will be 8
Step-by-step explanation:
because the triangle will be in a ratio of 1:[tex]\sqrt{3}[/tex]:2, here 1 corresponds to 4, so the sides will be 4, 4\sqrt{3} and 8!
Help plzzzzzzxhshshxyxush
Answer:
a.
Step-by-step explanation:
because "six hundered one" is 601 and "five hundredths" is .05 so the only number with both those 2 is a so the awnser is a.
find the circumference of the circle. PLEASE HELP I HAVE 5 MINUTES LEFT :(
Answer:
18.84
Step-by-step explanation:
Norris bought a television for $899. If the tax is 5.5%, how much sales tax will he pay?
Answer:
$49.445 or $49.5 if they round
Step-by-step explanation:
Answer:
$948.45
Step-by-step explanation:
■ Sales tax: $49.45
■ Cost/Price before ST: $899.00
■ Total Cost/Price including ST: $948.45
How many degrees does it take a capterpillar to turn upright
it is at least 180 degrees
Is 3times4 the same as 4 times 3
Answer:
Yes, 3x4=12 and 4x3=12
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
3 × 4 = 12
4 × 3 = 12
Please help trigonometry and special right trianglez
Answer:
Step-by-step explanation:
jamals lawn service often fertilizes lawn in the spring. jamal charges 3.50 per square yard. how much will jamal charge to fertilize the yard pictured below
Answer:
He will charge $28.
Step-by-step explanation:
We know that Jamal charges $3.50 per square yard.
Now we need to find the area in the image, it may be kinda hard to see it, but we can think of the image as a rectangle of 4yd by 3yd where we subtracted the area of a square of side length equal to 2yd.
The area of the rectangle is:
A = 4yd*3yd = 12 yd^2
And the area of the square is:
a = (2yd)^2 = 4 yd^2
The area of our image (equal to the difference between the area of the rectangle and the area of the square) is:
Area = A - a = 12 yd^2 - 4 yd^2 = 8 yd^2
Area = 8 yd^2
And he charges $3.50 per square yard, then for 8 square yards he charges 8 times that amount, which is:
C = 8*$3.50 = $28
6. Greg pays a fee of $20 a month for local calls. Long-distance rates are $0.06 per minute for calls within the United States and $0.14 per minute for foreign calls. Suppose Greg makes 300 minutes of long-distance phone calls in January and m of those minutes are for calls within the United States.
Answer:
He pays $18 for the long distance calls because 0.06 x 300 is 18
and if you want to find how much that month do 18+20 which is 38
$38 that month
WILL GIVE BRAINLIEST TO ANSWER
its x4 got it thanks give me brainliest
Raelyn spent $6.00 on butterfly stickers for her bathroom wall. Each sticker cost 1/10 of a dollar. how many stickers did Raeyln but?From the same store,Beth biught 1/4 the number of butterfly stickers Raeyln bought.How many butterfly stickers did Beth buy?
Answer:
Raeyln bought 60 stickers, Beth bought 15 stickers
Step-by-step explanation:
simple math l.mao
please i will give you brainly -1,8÷9 I need step by step
Answer:
-0.2
I couldn't get step by step but hope this answer helps out a little...
(Do you need it for ur assignment?)
Step-by-step explanation:
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative
I wasn't sure if the comma was a typo in your question but I Hope this helps :)
are Equilateral triangles always acute triangles.
Answer:
Yes, they can only have acute angles (all measure 60°)
Step-by-step explanation:
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
D, 261
Step-by-step explanation:
Divide all of the answer choices by 9. The answer is the one with the whole number. 261/9=29 29=whole number so D is the answer.
Hope this helps! If it did, please give brainliest! It would help a lot! :D
Answer:
261
Step-by-step explanation:
If the farmer used 9 boxes and each had the same number, we need to find the number that's divisible by 9.
There's a great fact - a number is divisible by 9 if its sum of digits is divisible by 9.
Let's use that fact on the answers first:
281 -> 2 + 8 + 1 -> 11 -> 1 + 1 -> 2; not divisible by 9
273 -> 2 + 7 + 3 -> 12 -> 1 + 2 -> 3; not divisible by 9
261 -> 2 + 6 + 1 -> 9; divisible by 9
Please note that we could just say that 11 is not divisible by 9, but I wanted to show that we can do it again - nothing stops us and it still works.
To know why this method works, note that a number ABC is equal to:
100 * A + 10 * B + C = 99 * A + 9 * B + (A + B + C) = 9*(11*A + B) + (A + B + C)
And we know that 9*(11*A + B) is divisible by 9 because it's literally 9 times something. So A+B+C is equal to ABC minus something divisible by 9, and that proves what we needed.
The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)
Answer:
A) The test statistic is approximately 7.5056
B) E. There is no evidence that diet is independent of backfat thickness
Step-by-step explanation:
The given data are;
The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm
The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm
The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18
The sample mean for pigs raised on Diet 2, [tex]\overline x_2[/tex] = 3.37 m
The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm
The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18
The pooled SE = 0.09
A) The test statistic is given by the following formula;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]
The test statistic, t ≈ 7.5056
B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17
At a confidence level of 95%, the critical value is 2.11
Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet
Therefore, there is no evidence that diet is independent of backfat thickness
5^-2 + 7^0
PLSSS HELP MEEE IM IN SCHOOL RIGHT NOW
TRY THIS
Step-by-step explanation:
Step-by-step explanation:
Given
[tex] {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} [/tex]
Hope it will help :)❤
WILL GIVE BRAINLIEST
Answer:
B. 12
Step-by-step explanation:
First, we need the degrees for A. So, cosx = 5/13 = 67.4
Now it will be easy to solve a. tan67.4° = a/5 = 12.011728511....
we round it to the nearest tenth and we get 12.
Step-by-step explanation:
By pythagoras theoram
[tex]c = \sqrt{a2 + b2} [/tex]
13=a²+5²a²=13²--5²a²=169--25a²=144I think this is a helpful for youWhat is 3x3/6 because I can’t figure it out
Answer:
its 48
Step-by-step explanation:
Answer: 1.5
Step-by-step explanation:
p-value for p = 0.23 is closest to: 0.006 or 0.40?
Answer:
0.40 I'm pretty sure tbh
A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour
Answer:
A
Step-by-step explanation:
This is a fraction equal to
6 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour
i hope the internet knows how to do this i dont
All the answers are in the picture attached.
A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.
What is the volume of the desk drawer?
pls help Ill give you brainiest and pic for your profile
Answer:
1470
Step-by-step explanation:
HURRY THIS IS REALLY IMPORTANT
Answer:\ b.
Step-by-step explanation:
Hope this helps!!
log8(216)+[log(42)_log(6)]÷log(49)
Answer:
3 log (3) + 1/2Step-by-step explanation:
log8(216) + [log(42) - log(6)] ÷ log(49) =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2) / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2