**Exploring the Relationship Between Study Time and Exam Scores**In a survey conducted to study the relationship between the amount of time statistics students spend studying per week and their final exam scores, the following data was collected:| Time (hours) | 11 | 5 | 7 | 1 | 2 | 1 | 7 | 4 ||--------------|----|---|---|---|---|---|---|---|| Score | 82 | 68| 70| 63| 62| 54| 78| 69|To analyze the data, we need to consider the following steps:- **x-values** represent the time students spent studying each week.- **y-values** represent the scores obtained by these students in their final exams.**a. Correlation Coefficient:**Determine the correlation coefficient, \( r \), which measures the strength and direction of the linear relationship between the two variables. Calculate \( r \) and round the answer to 2 decimal places.**b. Hypotheses for Correlation:**Set up the null and alternative hypotheses for testing the correlation:- \( H_0: \rho = 0 \) (No correlation between study time and scores)- \( H_1: \rho \neq 0 \) (There is a correlation)**c. P-value:**Calculate the p-value, which indicates the probability of observing the data if the null hypothesis is true. Record the p-value, rounded to four decimal places. This analysis will help determine if there is a statistically significant relationship between the time spent studying and the exam scores among the surveyed students.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 7 women are shown in the table below. Time 14 40 24 76 74 87 84 Pounds 124 122 116 178 181 174 167 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? ▼ Hj: ? v The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the use of the regression line is not appropriate. O There is statistically insignificant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. O There is statistically significant evidence to…
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What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 11 5 Score 82 68 70 63 62 54 78 69 x-values y-values a. Find the correlation coefficient: r = b. The null and altemative hypotheses for correlation arer Ho: ?v H: ?v to Round to 2 decimal places. = 0 The p-value is: (Round to fsur decimal places) d. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. Select an answer p² = (Round to two decimal places) f. Interpret 2 : Select an answer g. e. The equation of the linear regression line is: = (Please show your answers to two decimal places) h. Use the model to predict the final exam score for a student who spends 7 hours per week studying. Final exam score = (Please round your answer to the nearest whole number.) i. Interpret the slope of the regression line in the context of the question: Select an answer j.…
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I AM RESUBMITTING THIS QUESTION FOR MORE SUBPARTS. I NEED HELP FROM NUMBER 7 DOWN. THANK YOU. A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 27 22 17 30 17 19 12 23 22 Money 117 72 53 106 66 93 53 83 95 Find the correlation coefficient: r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ r ρ == 0H1:H1: ? r ρ μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that there is a…
What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 8 12 14 7 10 13 6 11 Score 87 87 100 85 93 89 76 68 81 a. Find the correlation coefficient: r = 0.71 o Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Но: р H1: p v The p-value is: 0.0328 o (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. O There is statistically insignificant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that…
What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 8 women are shown in the table below. Time 82 24 64 52 82 12 77 89 Pounds 181 125 156 142 158 103 148 161 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ ρ r == 0H1:H1: ? r ρ μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the use of the regression line is not appropriate. There is statistically insignificant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. There…

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