Ms. Arceo studies if age correlates with the average number of hours of sleep, so she selected a random sample of size 11 and surveyed the needed data.age(x)3356 24 4 27 56hours of sleep (y) 1012810STEP 2:α = 0.01two tailed testdf-[e]Critical value/s: [f]STEP 1:Ho: There is [c] between age and number of hours of sleep.Ha: There is [d] between age and number of hours of sleep.STEP 3:What is the computed test value? [g]Test the significance of the correlation coefficient at 0.01 level of significance.Correlation coefficient r: [a]For the sample data, there is a [b] correlation between age and number of hours of sleep.STEP 4:Decision: [h]7STEP 5:Conclusion:98There is [i] between age and number of hours of sleep.[a] choose your answer...choose your answer...choose your answer...11 7[b] choose your answer...✓ [f] choose your answer...9 8Testing of Significance of r[c] choose your answer...✓[g] choose your answer...[d] choose your answer... ✓ [e][h] choose your answer...✓

Level of significance=0.01Age Hours of sleep 31031258672104948211775965To calculate correlation…

Answered: Ms. Arceo studies if age correlates…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 0 3 1 2 5 1 8 GPA 3.3 2.9 3.4 3.3 2.5 2.8 0.7 1. The p-value is: _____ (Round to four decimal places) 2. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study (pick one). a. There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the regression line is useful. b. There is statistically significant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. c. There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. d. There is statistically insignificant…
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(c) Calculate the test statistic.

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