Teacher
a Statistics Teacher Collected the Following Data to Determine

question 68

Essay

Teacher
A statistics teacher collected the following data to determine if the number of hours a student studied during the semester could be used to predict the final grade for the course.
$$\begin{array} { | c | c | c | } \hline \text { Student } & \text { Hours Studyine } & \text { Final Grade } \\\hline 1 & 42 & 92 \\\hline 2 & 58 & 95 \\\hline 3 & 32 & 81 \\\hline 4 & 39 & 78 \\\hline 5 & 37 & 75 \\\hline 6 & 51 & 88 \\\hline 7 & 49 & 85 \\\hline 8 & 45 & 85 \\\end{array}$$
-In testing the hypotheses $H _ { 0 } : \beta _ { 1 } = 0$ vs. $\mathrm { H } _ { 1 } : \beta _ { 1 } \neq 0$ ,what is the conclusion at the 0.05 significance level?

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Definitions:

Normally Distributed

Characterizes a probability distribution with symmetry around its mean, illustrating that occurrences close to the mean are more common than those distant from the mean.

Standard Deviation

A measure of the dispersion or variability of a set of values, indicating how much the values deviate from the mean.

MBA Students

Individuals enrolled in a Master of Business Administration program, focusing on mastering business management skills.

Exponential Distribution

A continuous probability distribution used to model the time between events in a Poisson process, describing scenarios where events happen continuously and independently at a constant average rate.