Please answer Question 1 Question 7 and question 9 correctly

Note I just need Question 1b, Question 7a and Question 9e

Question 1.

A sample of 39 observations is selected from one population with a population standard deviation of 5. The sample mean is 100. A sample of 52 observations is selected from a second population with a population standard deviation of 7. The sample mean is 98. Conduct the following test of hypothesis using the 0.1 significance level:

H₀: ₁- ₂=0

H₁: ₁- ₂ 0

a.Is this a one-tailed or a two-tailed test?

(Click to select)

Two

One

b.State the decision rule.(Negative answer should be indicated by a minus sign. Round the final answers to 2 decimal places.)

The decision rule is to rejectH₀ifzis

(Click to select)

inside

outside

the interval (,).

c.Compute the value of the test statistic.(Round the final answer to 2 decimal places.)

Value of the test statistic

d.What is your decision regardingH₀?

(Click to select)

Do not reject

Reject

H₀.

e.What is thep-value?(Round thez-value to 2 decimal places.Round the final answer to 4 decimal places.)

Thep-value is.

Question 7.

The Simone Company is considering a new computer program to speed up the processing of its inventory. Two programs are being considered: Program A and Program B. To test the programs, 52 employees were divided into two groups of 26. The mean processing time of Program A was 30 seconds with a standard deviation of 7 seconds. The mean processing time of Program B was 28 seconds with a standard deviation of 2 seconds. Is there a difference in the speed of the two programs? Choose an appropriate significance level. Calculate and interpret thep-value.

a.State the decision rule.(Round the final answers to 3 decimal places.)

RejectH₀ift

(Click to select)

is inside

is outside

(,).

b.Compute the pooled estimate of the population variance.(Round the final answer to 1 decimal place.)

Pooled estimate of the population variance is.

c.Compute the value of the test statistic.(Round the final answer to 2 decimal places.)

Test statistic

d.What is your decision regarding the null hypothesis.

(Click to select)

Reject

Do not reject

H₀.

e.Compute thep-value.(Round the final answer to 4 decimal places.)

p-value

Question 9.

Two major cell phone providers want to investigate whether there is a difference in the proportion of times a call is successful. During a one-week period, 550 calls were placed at random times throughout the day and night to the first provider, and 495 calls were successful. A similar one-week study with the second provider showed that 426 of 480 calls were successful.

At the 0.01 significance level, is there a difference in the percentage of time that cell phone connections are successful? Calculate and interpret thep-value.

a.State the decision rule.(Negative answer should be indicated by a minus sign. Round the final answers to 2 decimal places.)

Ifzis not betweenand, rejectH₀.

b.Compute the pooled proportion.(Roundthe final answer to 3 decimal places.)

p_c=

c.Compute the test statistic.(Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.)

The test statistic is.

d.State your decision about the null hypothesis?

(Click to select)

Do not reject

Reject

the null hypothesis. There is

(Click to select)

not enough

enough

evidence to reject the null hypothesis.

e.What is thep-value?(Round the final answer to 4 decimal places.)

Thep-value is.