State whether the new student’s score increases or decreases the average score.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 2, Problem 27CE

(a)

To determine

State whether the new student’s score increases or decreases the average score.

(a)

Expert Solution

Answer to Problem 27CE

Decrease.

Explanation of Solution

For 24 students, the average score is 74 points with a standard deviation of 8.9 points.

For one student, who took the make-up the following day, secured 64 points on the exam.

Based on the information, the new student’s score is less than the average of the 24 previous scores.

Therefore, the new score decreases the average score.

(b)

To determine

Obtain the new average.

(b)

Expert Solution

Answer to Problem 27CE

The new average is 73.5.

Explanation of Solution

Calculation:

The new average is obtained as given below:

Average={24×Average score+1×Score}Total students in the class={24×74+1×64}(24+1)=1,84025=73.6

(c)

To determine

State whether the new student’s score increases or decreases the standard deviation of the scores.

(c)

Expert Solution

Answer to Problem 27CE

Increase.

Explanation of Solution

Based on the given information, the standard deviation is 8.9 points.

The new mean is decreased in Part (b). In the same way, the standard deviation of the new score is more than one standard deviation away from the mean of 74.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Suppose we wish to test the hypothesis that women with a sister’s history of breast cancer are at higher risk of developing breast cancer themselves. Suppose we assume that the prevalence rate of breast cancer is 3% among 60- to 64-year-old U.S. women, whereas it is 5% among women with a sister history. We propose to interview 400 women 40 to 64 years of age with a sister history of the disease. What is the power of such a study assuming that the level of significance is 10%? I only need help writing the null and alternative hypotheses.

4.96 The breaking strengths for 1-foot-square samples of a particular synthetic fabric are approximately normally distributed with a mean of 2,250 pounds per square inch (psi) and a standard deviation of 10.2 psi. Find the probability of selecting a 1-foot-square sample of material at random that on testing would have a breaking strength in excess of 2,265 psi.4.97 Refer to Exercise 4.96. Suppose that a new synthetic fabric has been developed that may have a different mean breaking strength. A random sample of 15 1-foot sections is obtained, and each section is tested for breaking strength. If we assume that the population standard deviation for the new fabric is identical to that for the old fabric, describe the sampling distribution forybased on random samples of 15 1-foot sections of new fabric

Une Entreprise œuvrant dans le domaine du multividéo donne l'opportunité à ses programmeurs-analystes d'évaluer la performance des cadres supérieurs. Voici les résultats obtenues (sur une échelle de 10 à 50) où 50 représentent une excellente performance. 10 programmeurs furent sélectionnés au hazard pour évaluer deux cadres. Un rapport Excel est également fourni. Programmeurs Cadre A Cadre B 1 34 36 2 32 34 3 18 19 33 38 19 21 21 23 7 35 34 8 20 20 9 34 34 10 36 34 Test d'égalité des espérances: observations pairées

Answer 2

Question

Chapter 2, Problem 27CE

(a)

To determine

State whether the new student’s score increases or decreases the average score.

(a)

Expert Solution

Answer to Problem 27CE

Decrease.

Explanation of Solution

For 24 students, the average score is 74 points with a standard deviation of 8.9 points.

For one student, who took the make-up the following day, secured 64 points on the exam.

Based on the information, the new student’s score is less than the average of the 24 previous scores.

Therefore, the new score decreases the average score.

(b)

To determine

Obtain the new average.

(b)

Expert Solution

Answer to Problem 27CE

The new average is 73.5.

Explanation of Solution

Calculation:

The new average is obtained as given below:

Average={24×Average score+1×Score}Total students in the class={24×74+1×64}(24+1)=1,84025=73.6

(c)

To determine

State whether the new student’s score increases or decreases the standard deviation of the scores.

(c)

Expert Solution

Answer to Problem 27CE

Increase.

Explanation of Solution

Based on the given information, the standard deviation is 8.9 points.

The new mean is decreased in Part (b). In the same way, the standard deviation of the new score is more than one standard deviation away from the mean of 74.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 2, Problem 27CE

(a)

To determine

State whether the new student’s score increases or decreases the average score.

(a)

Expert Solution

Answer to Problem 27CE

Decrease.

Explanation of Solution

For 24 students, the average score is 74 points with a standard deviation of 8.9 points.

For one student, who took the make-up the following day, secured 64 points on the exam.

Based on the information, the new student’s score is less than the average of the 24 previous scores.

Therefore, the new score decreases the average score.

(b)

To determine

Obtain the new average.

(b)

Expert Solution

Answer to Problem 27CE

The new average is 73.5.

Explanation of Solution

Calculation:

The new average is obtained as given below:

Average={24×Average score+1×Score}Total students in the class={24×74+1×64}(24+1)=1,84025=73.6

(c)

To determine

State whether the new student’s score increases or decreases the standard deviation of the scores.

(c)

Expert Solution

Answer to Problem 27CE

Increase.

Explanation of Solution

Based on the given information, the standard deviation is 8.9 points.

The new mean is decreased in Part (b). In the same way, the standard deviation of the new score is more than one standard deviation away from the mean of 74.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 2, Problem 27CE

(a)

To determine

State whether the new student’s score increases or decreases the average score.

(a)

Expert Solution

Answer to Problem 27CE

Decrease.

Explanation of Solution

For 24 students, the average score is 74 points with a standard deviation of 8.9 points.

For one student, who took the make-up the following day, secured 64 points on the exam.

Based on the information, the new student’s score is less than the average of the 24 previous scores.

Therefore, the new score decreases the average score.

(b)

To determine

Obtain the new average.

(b)

Expert Solution

Answer to Problem 27CE

The new average is 73.5.

Explanation of Solution

Calculation:

The new average is obtained as given below:

Average={24×Average score+1×Score}Total students in the class={24×74+1×64}(24+1)=1,84025=73.6

(c)

To determine

State whether the new student’s score increases or decreases the standard deviation of the scores.

(c)

Expert Solution

Answer to Problem 27CE

Increase.

Explanation of Solution

Based on the given information, the standard deviation is 8.9 points.

The new mean is decreased in Part (b). In the same way, the standard deviation of the new score is more than one standard deviation away from the mean of 74.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 2, Problem 27CE

(a)

To determine

State whether the new student’s score increases or decreases the average score.

(a)

Expert Solution

Answer to Problem 27CE

Decrease.

Explanation of Solution

For 24 students, the average score is 74 points with a standard deviation of 8.9 points.

For one student, who took the make-up the following day, secured 64 points on the exam.

Based on the information, the new student’s score is less than the average of the 24 previous scores.

Therefore, the new score decreases the average score.

(b)

To determine

Obtain the new average.

(b)

Expert Solution

Answer to Problem 27CE

The new average is 73.5.

Explanation of Solution

Calculation:

The new average is obtained as given below:

Average={24×Average score+1×Score}Total students in the class={24×74+1×64}(24+1)=1,84025=73.6

(c)

To determine

State whether the new student’s score increases or decreases the standard deviation of the scores.

(c)

Expert Solution

Answer to Problem 27CE

Increase.

Explanation of Solution

Based on the given information, the standard deviation is 8.9 points.

The new mean is decreased in Part (b). In the same way, the standard deviation of the new score is more than one standard deviation away from the mean of 74.

Answer 6

Chapter 2, Problem 27CE

(a)

To determine

State whether the new student’s score increases or decreases the average score.

(a)

Expert Solution

Answer to Problem 27CE

Decrease.

Explanation of Solution

For 24 students, the average score is 74 points with a standard deviation of 8.9 points.

For one student, who took the make-up the following day, secured 64 points on the exam.

Based on the information, the new student’s score is less than the average of the 24 previous scores.

Therefore, the new score decreases the average score.

Answer 7

Chapter 2, Problem 27CE

(a)

To determine

State whether the new student’s score increases or decreases the average score.

Answer 8

(a)

Expert Solution

Answer to Problem 27CE

Decrease.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

For 24 students, the average score is 74 points with a standard deviation of 8.9 points.

For one student, who took the make-up the following day, secured 64 points on the exam.

Based on the information, the new student’s score is less than the average of the 24 previous scores.

Therefore, the new score decreases the average score.

Answer 13

(b)

To determine

Obtain the new average.

(b)

Expert Solution

Answer to Problem 27CE

The new average is 73.5.

Explanation of Solution

Calculation:

The new average is obtained as given below:

Average={24×Average score+1×Score}Total students in the class={24×74+1×64}(24+1)=1,84025=73.6

Answer 14

(b)

To determine

Obtain the new average.

Answer 15

(b)

Expert Solution

Answer to Problem 27CE

The new average is 73.5.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Calculation:

The new average is obtained as given below:

Average={24×Average score+1×Score}Total students in the class={24×74+1×64}(24+1)=1,84025=73.6

Answer 20

(c)

To determine

State whether the new student’s score increases or decreases the standard deviation of the scores.

(c)

Expert Solution

Answer to Problem 27CE

Increase.

Explanation of Solution

Based on the given information, the standard deviation is 8.9 points.

The new mean is decreased in Part (b). In the same way, the standard deviation of the new score is more than one standard deviation away from the mean of 74.

Answer 21

(c)

To determine

State whether the new student’s score increases or decreases the standard deviation of the scores.

Answer 22

(c)

Expert Solution

Answer to Problem 27CE

Increase.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Based on the given information, the standard deviation is 8.9 points.

The new mean is decreased in Part (b). In the same way, the standard deviation of the new score is more than one standard deviation away from the mean of 74.