Question

Please show all work:

**Assignment:
You will be answering problems #1 - #4. For each problem, you will
need to complete parts A through F. Please make sure you answer
each part completely and you offer justification where
necessary. Do all work "by hand" (not using StatCrunch)
as good practice for your next exam!**

A) Write the claim mathematically and state the null and alternative hypotheses.

B) Determine whether
the hypothesis test is left-tailed, right-tailed, or two tailed and
whether to use a z-test, a t-test, or a chi-square test. Explain
your reasoning.

C) Find the critical value(s), draw a sketch identifying the
rejection region(s).

D) Find the appropriate standardized test statistic.

E) Decide whether to reject or fail to reject the null hypothesis.

F) Interpret the decision in the context of the original claim.

**#3) A
restaurant claims that the standard deviation of the lengths of
serving times is 3 minutes. A random sample of 27 serving times has
a standard deviation of 3.9 minutes. At alpha equal 0.05, is there
enough evidence to reject the restaurant's claim?**

Answer #1

a)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: σ = 3

Alternative Hypothesis, Ha: σ ≠ 3

claim is σ = 3

b)

two tailed, chi square test

c)

Rejection Region

This is two tailed test, for α = 0.05 and df = 26

Critical value of Χ^2 are 13.844 and 41.923

Hence reject H0 if Χ^2 < 13.844 or Χ^2 > 41.923

d)

Test statistic,

Χ^2 = (n-1)*s^2/σ^2

Χ^2 = (27 - 1)*3.9^2/3^2

Χ^2 = 43.94

e)

Reject the null hypothesis

f)

There is sufficient evidence to conclude that the standard deviation of the lengths of serving times is 3 minutes

Please show all work:
Assignment: You will be answering problems #1 - #4. For each
problem, you will need to complete parts A through F. Please make
sure you answer each part completely and you offer justification
where necessary. Do all work "by hand" (not using StatCrunch) as
good practice for your next exam!
A) Write the claim mathematically and state the null and
alternative hypotheses.
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Please show all work and place your final answers on the lines.
No work means no credit.(please show
work)
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