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The following 5 questions are based on this information. Customers at Costco spe

ID: 3216905 • Letter: T

Question

The following 5 questions are based on this information.

Customers at Costco spend an average of $130 per trip. One of Costco's rivals would like to determine whether its customers spend more per trip than Costco's. A survey of the receipts of 25 customers from this rival indicated a sample mean of $135.21.

Assume that the population standard deviation () is $10.50 and spending by customers is normally distributed. Please show all work

Question 31

Question text

Specify the null and alternative hypotheses.

Select one:

b. H(0):   130130   versus H(a): <130<130

Question 32

Question text

The standard error (SE) of X¯X¯  is

Select one:

a. 2.1

b. 27.05

c. 26

d. 10.5

Question 33

Question text

The test statistics value is

Select one:

a. 2.5

b. -0.5

c. 0.5

d. -2.5

Question 34

Question text

The p-value is

Select one:

a. 0.01

b. 0.69

c. 0.31

d. 0.99

Question 35

Question text

At =0.05 and using the p-value

Select one:

a. We reject H(0) in favor of H(a)

b. We do not reject H(0)

Explanation / Answer

31). H(0): 130 and H(a): >130

32) std error =std deviation/(n)1/2 =2.1 ; option a

33)test stat z=(X-mean)/std error =(135.21-130)/2.1=2.48 option a

34) p value =0.01

35)a. We reject H(0) in favor of H(a)