In a study of n=76 subjects that were placed on a low-fat diet, their sample mea

ID: 3223418 • Letter: I

Question

In a study of n=76 subjects that were placed on a low-fat diet, their sample mean weight loss was 2.2 kg. with a sample standard deviation of 6.1 kg.

What is the test statistic for testing the mean weight loss is GREATER than 0?

What is the P-VALUE of the test if the mean weight loss is GREATER THAN 0?

Using the p-value with alpha=0.01, what is the decision for the weight loss GREATER THAN 0 hypothesis?

What is the P-VALUE of the test if the mean weight loss is NOT EQUAL TO 0?

Using the p-value with alpha=0.01, what is the decision for the weight loss NOT EQUAL TO 0 hypothesis?

Hypothesis:

H0 : mu = 0

Ha : mu > 0

Test statistic;

s = 6.1 , n =76 , x = 2.2

z = (x - mean) / (s / sqrt(n))

= ( 2.2 - 0 ) / ( 6.1 / sqrt(76))

= 3.14

Now, we need to find p value using z = 3.14

P value = 0.000845.

As p value is less than 0.01 So, we reject the null hypothesis

P value when mean weight loss is not equal to 0 = 0.001689. For two tailed test

As p value is less than 0.01 So, we reject the null hypothesis

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