The sample consisted of 40 night students, with a sample mean GPA of 2.17 and a standard deviation of 0.08, and 40 day s

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The sample consisted of 40 night students, with a sample mean
GPA of 2.17 and a standard deviation of 0.08, and 40 day students,
with a sample mean GPA of 2.13 and a standard deviation of
0.02.

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)
Are low-fat diets or low-carb diets more effective for weight
loss? A simple random sample of 79 adults went on a
low-carbohydrate diet for 6 months. At the end of that time, the
average weight loss was 4.5 kilograms with a standard deviation
6.36 kilograms. A second simple random sample of 84 adults went on
a low-fat diet. Their average weight loss was 3.6 kilograms with a
standard deviation of 5.3 kilograms. Can you conclude that the true
mean weight loss differs between the two diets? Use a 5%
significance to decide.
Group 1: Low-Carb
Group 2: Low-Fat
Round to the fourth
Test Statistic:
p-value:
A manager wishes to see if the time (in minutes) it takes for
their workers to complete a certain task will decrease when they
are allowed to wear ear buds at work. A random sample of 22
workers' times were collected before and after. Test the claim that
the time to complete the task has decreased at a significance level
of α=0.05α=0.05. For the context of this problem,
μd=μafter−μbeforeμd=μafter-μbefore where the first data set
represents after and the second data set represents before. Assume
the population is normally distributed. Round answers to 4 decimal
places.

Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0

You obtain the following sample of data:
What is the critical value for this test?
critical value = Incorrect

What is the test statistic for this sample?
test statistic =