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)