Orville redenbacher states tha
Orville redenbacher states that the average number of calories in a serving of popcorn is 120 with a standard deviation of 15. a nutritionist claims a serving of popcorn is less than 120 calories. he selects 42 different popcorn samples and finds the average calories to be 115 calories per serving. check the nutritionist claim at a=0.01
Answer:
The hypotheses for the problem are
H0: Average number of calories in a serving of popcorn is 120calories. That is 
= 120
H1: Average number of calories in a serving of popcorn is lessthan 120 calories. That is < 120
Population standard deviation, 
= 15
Since we know the population standard deviation, we will use onesample z test for the hypothesis test.
Standard error of mean, se = / 
= 15 /
=2.31455
Test statistic, z = (
– ) / se
= (115 – 120) / 2.31455
= -2.16
For left tail test, p-value = P(z < -2.16) = 0.0154
Since, p-value is greater than 0.01 significance level, we failto reject null hypothesis H0 and conclude that there is no strongevidence that average number of calories in a serving of popcorn isless than 120 calories.
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