Use following information for 101112 A restaurant claims tha

Use following information for 10,11,12

A restaurant claims that its hamburgers have less than 10 grams of fat. In a random sample

of 19 hamburgers, a nutritional agency nds that the mean fat content to be 8.5 grams with

a standard deviation of 2 grams. Assume that the fat content of bananas follow a normal

distribution.

10) Set up the null and alternate hypothesis to test the restaurant\'s claim

a) H_0: = 10 versus H_1: not equal to 10

b) H_0: is greater than or equal to 10 versus H_1: is less than 10

c) H_0: less than 10 versus H_1: is greater than or equal to 10

d) H_0: less than or equal to 10 versus H_1: is greater than 10

e) H_0: is not equal 10 versus H_1: is equal to 10

11) Value of the test statistic is

a) 3.269 b) -1.75 c) -0.75 d) 0.75 e) -3.269

12) Find the rejection region at 5% significance level

a) Reject H_0 if t< 1.734 , decision : Reject H_0

b) Reject H_0 if t > 1.734 , decision: Do not Reject H_0

c) Reject H_0 if t > 1.734 or t< - 1.734 , decision: Reject H_0

d) Reject H_0 if t < - 1.734 , decision: Reject H_0

e) Reject H_0 if t < - 2.101 , decision: Do not Reject H_0

b) H_0: is greater than or equal to 10 versus H_1: is less than 10

c) Mean diff = 8.5-10 = -1.5 gm

Std error of sample = 2/rt 19 = 0.4588

T statistic = -3.2692

Option e.

d) Reject H_0 if t < - 1.734 , decision: Reject H_0

As p <