Question

The average l-ounce chocolate chip cookie contains 110 calories. A random sample of 13 different brands of l-ounce chocolate chip cookies resulted in the following calorie amounts. At the a=0.10 level, is there sufficient evidence that the average calorie content is greater than 110 calories? Assume the population is normally distributed. 115 150 120 175 105 100 180 110 115 120 135 155 100

Answer 1

Right-Tailed Test – Ho: M= 110, H: > 110

For given sample of n = 13 values, summary statistics :

Mean T = 129.23, Sample St. Dev. 0 = 27.45,

Standard error of Mean, o = = 7.613

Test statistic, t = 1- = 2.53 or

From t - table, for a = 0.10, df = n -1 = 12, critical value t* = 1.356

Test statistic falls in critical region, hence accept the Null hypothesis.

There is sufficient evidence that average calorie content is greater than 110.