Question

1. A team of researchers is looking into the effects that watching Netflix during quarantine have on undergraduate students. One result suggests that students who spend their time watching Netflix are likely to spend a different amount of time studying for classes than students who aren’t. A recent poll recorded that the average rating of time spent in minutes per day studying for undergraduate students is µ = 35. A sample of n = 16 students who watch Netflix were asked how many minutes they spent a day studying and reported a time of M = 31 minutes with a standard deviation of s = 6.
   1. What type of t test would you run to determine whether or not a difference exists between this sample and the population?

2. Tell me the null and alternative hypotheses and identify the critical region for a two-tailed test with n = 16 and α = .01.

3. Calculate the t statistic.

4. Should you reject or fail to reject the null?

5. What is the result of this telling us? Look at the scores, hypotheses, and explain what this test is telling us.

Answer 1

a)
This is two tailed t-test for one sample mean

b)
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 35
Alternative Hypothesis, Ha: μ ≠ 35

Rejection Region
This is two tailed test, for α = 0.01 and df = 15
Critical value of t are -2.947 and 2.947.

c)
Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (31 - 35)/(6/sqrt(16))
t = -2.667

d)
Failed to reject H0

e)
There is no difference in the mean.
There is different amount of time spend studying for the classes