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Alla [95]
3 years ago
8

Specifications call for the wall thickness of two-liter polycarbonate bottles to average 4.0 mils. A quality control engineer sa

mples 7 two-liter polycarbonate bottles from a large batch and measures the wall thickness (in mils) in each. The results are: 3.999, 4.037, 4.116, 4.063, 3.969, 3.955, and 4.091. It is desired to test H0 : μ = 4.0 versus H1 : μ ≠ 4.0.Make a dotplot of the seven value.

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer:

The null hypothesis μ=4.0 could not be rejected.

Step-by-step explanation:

In this problem we have to perform a hypothesis test of the mean, with s.d. of the population unknown.

The sample is: [3.999, 4.037, 4.116, 4.063, 3.969, 3.955, 4.091]

This sample has a mean of 4.033 and a standard deviation of 0.061.

The null and alternative hypothesis are:

H_0: \mu = 4.0\\\\H_1: \mu \neq 4.0

We assume a significance level of 0.05.

The test statistic for this test is:

t=\frac{M-\mu}{\sigma}=\frac{4.033-4.0}{0.061}=0.536

We have a sample size n=7, so the degrees of freedom are 7-1=6.

For a two-tailed test, t=0.536 and df=6, the P-value can be look up in a t-table.

The P-value is 0.61. Is greater than the significance level, so the effect is not significant and the null hypothesis can't be rejected.

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aleksandrvk [35]
Let's actually find the line of best fit...

m=(nΣyx-ΣyΣx)/(nΣx^2-ΣxΣx)

m=(11*836-130*55)/(11*385-3025)

m=2046/1210  

m=93/55

b=(Σy-93Σx/55)/n

b=(55Σy-93Σx)/(55n)

b=(7150-5115)/(55*11)

b=185/55, so the line of best fit is:

y=(93x+185)/55

A)  The approximate y-intercept (the value of y when x=0) is 185/55≈3.36.

Which means that those who do not practice at all will win about 3.36 times

B) y(13)=(93x+185)/55

y(13)≈25.34

So after 13 months of practice one would expect to win about 25.34 times.
3 0
3 years ago
Since the Boston marathon began in 1897, the finish time has been incrementally decreasing. The mean finish time to date is 231
morpeh [17]

Answer:

hello your question lacks the required options but i will provide a general answer to your question

answer : The mean value  and the standard deviation would allow us use a Z-score

Step-by-step explanation:

mean value = 231 minutes

standard deviation ( std ) = 40 minutes

sample size = 40

The parameters that would be applicable while use Z-score are : The given mean value and the standard deviation

This is because the value of a z-score gives us an information on how far we are from the mean score i.e. number of standard deviations

+Zscore means that the score  is above the average value

-Zscore means that the score is below the average value

7 0
3 years ago
Henry bought 1/4 pounds of screws and 2/5 of backstop build a skateboard ramp. What is the total weight of the screws and nails
nexus9112 [7]
It equals 0.65 pounds
6 0
3 years ago
CAN SOMEONE PLEASE HELP ME PLEASE help
strojnjashka [21]

Answer:

I got uuuuu

Step-by-step explanation:

Here you go

11x-2=75 right and its an corresponding sooooo they equal each other so the other one is 75 also  if u want a my math lmk

3 0
3 years ago
Can someone please help me with this questions
Ludmilka [50]

Step-by-step explanation:

a. 3⁴

b. 7⁵

c. 10²

d. 5⁷

Hope this helps?

8 0
3 years ago
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