Question

A company produces thousands of plastic toy parts every day. So that the toys can be assembled properly a certain tab thickness x has to meet quality control specifications. The mean of the population of x has to be within a certain range and the standard deviation of the population of x has to be less than a certain value. A quality control inspector took a random sample of 18 parts and measured x. He computed a sample mean of 8.2 mm for x and a sample standard deviation of 0.024 mm.

Having found the mean was in spec next he has to test the sample variance to decide whether to reject the null hypothesis that the population variance of x is less than or equal to the quality tolerance 0.0002 mm^2 using alpha of 0.05. He assumes the population mean follows a normal distribution. Do this test by answering the following questions.

1) what diagram would show the reject/fail to reject region for this problem?

2) what is the test statistic is used for question 1?

3) what is the teste statistic value computed from the sample statistic given in question 1?

4) since the level of significance alpha is 0.05 state the critical value which you would use relevant to question 1. also state your conclusion about the null hypothesis based on question 1-3.

Answer #1

Bob claims that a population mean u=94. The value of the
population standard deviation is known to be o=10. To test Bob's
claim, we take a simple random sample of size n=70 from this
population. The sample mean turns out to be x=107. Use the
information from the sample to test Bob's claim at the a(alpha)
=0.05 significance level. Report the final result of the hypothesis
test.
A. Reject the null hypothesis B.
Cannot reject the null hypothesis

Two machines are used to fill 50-lb bags of dog food. Sample
information for these two machines is given in the table.
If the computed test statistic
is -9.00, what is the decision and conclusion?
FTR the null hypothesis, machine A fills less.
reject the null hypothesis, machine A
fills more. FTR the alternative hypothesis,
machine A fills less. FTR Ho, machine A does not
fill less. reject the null hypothesis,
machine A fills less. If...

ALL PARTS PLEASE AND EXPLANATION IF POSSIBLE
3. A Department of Justice report stated that convicted burglars
spent an average of 18.7 months in jail for their crime. A
researcher feels that this average should be higher so she randomly
samples 40 such cases from court files and finds that = 21.3 months
and s = 7.7 months. Test the researchers claim that the average
jail time is greater than 18.7 months at the 0.05 significance
level.
Null Hypothesis: _________________________________...

Joyce works in a toy factory maintaining machines. Machines
should inject exactly 500 grams of plastic into a mold to make a
toy plane. Joyce wonders if these toy machines might need cleaning,
but it's a lot of work taking apart the machines to do a proper
job. She grabs planes from 24 different machines at random and
weighs them. Her average is 495 grams. She knows there's a standard
devation of 10 grams for all machines (Joyce has been...

This question has 8 parts. Each of the 8 parts (Part A - Part H)
has a dropdown list of possible answers. Choose the best answer
from the dropdown list for EACH part of the question below. Open
the "Lab Dataset" (HSCI390.sav) you have been using for lab
assignments in SPSS. Your analysis will focus on the variable
"Weight in pounds" (NQ50).
Researchers are interested in examining how the average weight
of students at CSUN compares to the average weight...

Let x represent the average annual salary of college
and university professors (in thousands of dollars) in the United
States. For all colleges and universities in the United States, the
population variance of x is approximately
σ2 = 47.1. However, a random sample of 18
colleges and universities in Kansas showed that x has a
sample variance s2 = 78.4. Use a 5% level of
significance to test the claim that the variance for colleges and
universities in Kansas is...

Questions D-F
d) You conduct a hypothesis test for the
population proportion. After you calculate the z test statistic,
you find that your p-value = 0.059. Using alpha (α) = 0.05 level of
significance, what is your decision regarding the null hypothesis?
Choose from the following.
- Reject the null hypothesis and reject the alternative
hypothesis
- Accept the null hypothesis
- Do not reject the null hypothesis
- Reject the null hypothesis and accept the alternative
hypothesis
e) You...

1. According to a recent report, 38% of adults wait
until they are 30 years of age or older to get
married for the first time. A researcher believes this claimed
value is too low. He gathers
data in order to test the hypotheses Ho: p = 0.38 vs. Ha: p >
0.38. In these hypotheses, what
does p represent?
A. The sample proportion
B. The population proportion
C. The p-value
D. The sample mean
E. The population mean
2....

A random sample of n = 500 books is selected from a library and
the number of words in the title of each book is recorded. The
sample mean number of words in the title is 6.2 words. The
population variance is 40 words^2 .
Please show how to do each one using R and Rstudio.
a) (2 points) Compute the z-statistic for testing the null
hypothesis H0 : µ = 7.
b) (3 points) Perform a level ? =...

ou are given the null and alternative hypotheses and the sample
information shown below. Complete parts a and b below.
H0:
μ1−μ2=0
HA:
μ1−μ2≠0
Sample 1
Sample 2
n1
equals=
130
n2
equals=
125
s1
equals=
32
s2
equals=
37
x overbarx1
equals=
150
x overbarx2
equals=
155
a. Develop the appropriate decision rule, assuming a
significance level of
0.05
is to be used.
Select the correct choice below and fill in the answer box(es)
to complete your choice.
(Round...

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