We wish to test if a new feed increases the mean weight gain compared to an old feed. At the conclusion of the experiment it was found that the new feed gave a 18 kg bigger gain than the old feed. A two-sample t-test with the proper one-sided alternative was done and the resulting p-value was 0.052. This means: A.) There is an 5.2% chance the null hypothesis is true. B.) There was only an 5.2% chance of observing an increase greater than 18 kg (assuming the null hypothesis was false). C.) There was only a 5.2% chance of observing an increase greater than 18 kg (assuming the null hypothesis was true). D.) There is an 5.2% chance the alternate hypothesis is true. E.) There is only an 5.2% chance of getting a 18 kg increase.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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We wish to test if a new feed increases the mean weight gain compared to an old feed. At the conclusion of the experiment it was found that the new feed gave a 18 kg bigger gain than the old feed. A two-sample t-test with the proper one-sided alternative was done and the resulting p-value was 0.052. This means:

A.) There is an 5.2% chance the null hypothesis is true.

B.) There was only an 5.2% chance of observing an increase greater than 18 kg (assuming the null hypothesis was false).

C.) There was only a 5.2% chance of observing an increase greater than 18 kg (assuming the null hypothesis was true).

D.) There is an 5.2% chance the alternate hypothesis is true.

E.) There is only an 5.2% chance of getting a 18 kg increase.

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