Please answer question 2 (a), (b), and (c)

2. Some people said longer sleeping time can improve the amount of studying time because have more energy: on the other hand, some people said sleeping more will decrease the amount of studying time because only 24 hours in a day. A research has been conducted, and a random sample of 28 students in a certain high school have been selected. They were asked two questions, "How many hours do you sleep in a typical night?" and "How many hours do you spend in studying?" The range of the amount of sleeping hours is 4 to lo hrs. The analysis has been done using Statgraphics. Results are shown below. Simple Regression - Hrs Studying vs Hrs Sleep Dependent variable: Hrs Studying Independent variable: Hrs Sleep Linear model: Y = a + b*x Coefficients Least Squares Standard T Parameter Estimate Error Intercept Statistic P-Value Slope missing Strange way to -0 206419 Correlation Coefficient - -0.358585 Standard Error of Bat. - 0 809778 Say .. - Fintal Fined Model Here studying - 2.512-0 3864 8.Hmm Bicep Hra studying Hrs Sleep a) Interpret the value of the slope with the context. [2 marks] Same dir'n slope = - 0. 206419 y = bot bix bo+ (- 0. 206419 ) x Deal Whenever X= 1 hour sleep decrease Page 5 of 7 than restasis ideas hours of studying decree by (20. 206419 1 double negativewit the pope! b) What conclusion can you make about the amount of sleeping time and the amount of studying time for all students in that high school? (Note: Perform a complete hypothesis test. Only state the alternative hypothesis but null hypothesis, mark will not be given if you write both! Also, include the appropriate decision point!) [4] Ha: For all the 28 students of high school, there is a lincar relationship between the amount of sleeping time and nce amount of studyery time. D.P. = To get dip. we need samplesize A= 28 dip. = 0.374 4. Conclusion: compare to neith d-p.