Randomly selected students in a statistics class were asked to report the number of hours

they slept on weeknights and on weekends. Below are the data collected on hours slept on

weeknights and on weekends. Test the claim at $=0\mathrm{.}02$ that there is a difference in the mean

number of hours slept on weeknights and on weekends. Assume that the distribution is

normally distributed. Answer the following questions.

a$.$ Identify the claim and state the $H_0$ and $H_1.$

b$.$ Find the critical value.

c$.$ Calculate the test statistic.

d$.$ Make a decision to reject or fail to reject the $H_0.$

e$.$ Interpret the decision in the context of the original claim.

A researcher is interested in trying to estimate how students' final exam grades are influenced

by their absence from tutorial classes. To do this, the researcher randomly chose $20$ students

and recorded their final exam grades with the number of absences from tutorial classes.

Using the collected data, the researcher conducted a simple linear regression and the

statistical outputs are shown below. Answer the questions based on the statistical output.

Model Summary

a$.$ Predictors: $($Constant$),$No of absence b$.$ Dependent Variable: Final Grade

Coefficients

a$.$ Predictors: $($Constant$),$ No of absence b$.$ Dependent Variable: Final Grade

a$.$ What is the value of the coefficient of correlation? Explain this value in relation to the

problem.

b$.$ Use $5\%$ significance level to test that there is a significant relationship in the population

between No$.$ of Absence and Final Grade.

c$.$ Write the regression equation for this problem from the output?

d$.$ Predict the Final Grade if the No$.$ of Absence is $10$ days.