Module 2, Week 3, Paper and Pencil Assignment 3

Module 2, Week 3, Paper and Pencil Assignment 3

 

 

1.     You have the following random sample containing information on customers at grocery store. The sample standard deviation for the spending variable is equal to 116.82.

 

Customer

$ spent

Used shopping cart

A

21

No

B

205

No

C

109

Yes

D

43

No

E

58

No

F

302

Yes

G

99

Yes

H

18

No

I

91

Yes

J

120

Yes

K

390

Yes

L

44

No

 

a)     Test the hypothesis that mean spending is not equal to $190. Use a 5% level of significance.

     

b)     Test the hypothesis that mean spending is not equal to $190. Use a 10% level of significance. 

 

c)     Test the hypothesis that mean spending is less than $200. Use a 5% level of significance.

 

d)     Test the hypothesis that mean spending is greater than $180. Use a 5% level of significance.

 

e)     Calculate a 95% confidence interval for mean spending.

 

f)      Test the hypothesis that the proportion of customers who use a shopping cart is greater than 0.60. Use a 5% level of significance.

 

g)     Test the hypothesis that the proportion of customers who use a shopping cart is less than 0.80. Use a 5% level of significance.

h)     Calculate a 95% confidence interval for the proportion of customers who use a shopping cart.

 

 

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