Question

Clarita’s boyfriend wants to figure out how many hours each day she spends watching TikTok videos, but is afraid to ask because he thinks the question might offend her. He surreptitiously keeps track of a random sample of 36 days and finds that the average hours per day she spends over that sample is 2.3, with a sample standard deviation of 0.6. (a) What does the number 2.3 represent in this question? What notation would you use to represent it? Is this a statistic or parameter? (b) Can you assume that the sampling distribution of ¯x is approximately normal? Explain your answer. (c) Construct a 95% confidence interval for the number of hours per day Clarita spends watching TikTok videos. Remember that degrees of freedom is calculated as n − 1.

I ONLY NEED THIS QUESTION ANSWERED ___________ THE ONE BELOW

After collecting this data, Clarita’s boyfriend is hoping to conduct a test to determine if he can claim she watches more than 2 hours of TikTok videos per day. He is hoping to test this claim at a significance level of 0.01, since he wants to be really sure of the claim before accusing her.

(a) Write out the hypotheses for this test.

(b) Calculate the test statistic for this test.

(c) Find the P-value for this test. Remember that degrees of freedom is calculated as n − 1.

(d) State your conclusions for this test, and interpret in terms of the story. Should Clarita’s boyfriend accuse her of spending more than 2 hours watching TikTok videos per day?

Answer 1

Z- test

		sample
mean		2.3
sd		0.6

n = 36

Hypothesis:

H0: Should Clarita’s boyfriend accuse her of spending more than or equal to 2 hours watching TikTok videos per day

H1: Should Clarita’s boyfriend accuse her of spending more than 2 hours watching TikTok videos per day

CI = 95%

Alpha = 0.05 = 1.96

Z-Score = (X_bar-mean) / SE = (2.3 - 2 )/(0.6/sqrt(36)) = 3

Z -Score > alpha

This is reject the null Hypotheses

Conculsion:

Should Clarita’s boyfriend accuse her of spending more than 2 hours watching TikTok videos per day.