Question

The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 15 different brands of 1-ounce cholocate chip cookies resulted in the following calorie amounts. At the  = 0.01 level, is there sufficient evidence that the average calorie content is greater than 110 calories?

100 125 140 125 120 125 105 115 130 100 135 115 115 120 110

State:__________________________________ CV: use table E, F, G, CV=___________________ TV: z, t, or 2  (circle one), TV=________________ Decide:________________________________ Summary: (remember to circle the correct description before completing the statement) There is/is not enough evidence to reject/support the claim that______________________ ________________________________________________________________________ _______________________________________________________________________

Answer 1

using excel>addin>phstat>one sample test

we have

t Test for Hypothesis of the Mean
Data
Null Hypothesis                m=	110
Level of Significance	0.01
Sample Size	15
Sample Mean	118.6666667
Sample Standard Deviation	11.87233679
Intermediate Calculations
Standard Error of the Mean	3.065424179
Degrees of Freedom	14
t Test Statistic	2.827232435
Upper-Tail Test
Upper Critical Value	2.624494068
p-Value	0.006719923
Reject the null hypothesis

claim :  the average calorie content is greater than 110 calories

Ho:u =110

Ha:u>110

CV=2.6245

TV= t = 2.8272

Decide:Reject Ho Summary:There is enough evidence to reject the claim that the average calorie content is greater than 110 calories