Find the percentage of students in the sample smoke. Check whether the percentage of all the students at this university who smoke are different from the national percentage.

Question

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Answer 1

Question

Chapter C, Problem 22E

a.

To determine

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

b.

To determine

Check whether the average math SAT score of students at this university is greater than 600.

c.

To determine

Find the proportion of females in the sample with higher verbal SAT score.

Find the proportion of males in the sample with higher verbal SAT score.

Check whether there is a difference between the proportion of females with a higher verbal score and the proportion of males with a higher verbal score for all the students at this university.

Find and interpret the 95% confidence interval for the difference between the proportions of females with a higher verbal score minus the proportion of males with a higher verbal score.

d.

To determine

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

e.

To determine

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

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A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:

2. The SMSA data consisting of 141 observations on 10 variables is fitted by the model below: 1 y = Bo+B1x4 + ẞ2x6 + ẞ3x8 + √1X4X8 + V2X6X8 + €. See Question 2, Tutorial 3 for the meaning of the variables in the above model. The following results are obtained: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.302e+03 4.320e+02 3.015 0.00307 x4 x6 x8 x4:x8 x6:x8 -1.442e+02 2.056e+01 -7.013 1.02e-10 6.340e-01 6.099e+00 0.104 0.91737 -9.455e-02 5.802e-02 -1.630 0.10550 2.882e-02 2.589e-03 11.132 1.673e-03 7.215e-04 2.319 F) x4 1 3486722 3486722 17.9286 4.214e-05 x6 1 14595537 x8 x4:x8 x6:x8 1 132.4836 < 2.2e-16 1045693 194478 5.3769 0.02191 1 1198603043 1198603043 6163.1900 < 2.2e-16 1 25765100 25765100 1045693 Residuals 135 26254490 Estimated variance matrix (Intercept) x4 x6 x8 x4:x8 x6:x8 (Intercept) x4 x6 x8 x4:x8 x6:x8 0.18875694 1.866030e+05 -5.931735e+03 -2.322825e+03 -16.25142055 0.57188953 -5.931735e+03 4.228816e+02 3.160915e+01 0.61621781 -0.03608028 -0.00445013 -2.322825e+03…

In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF where 1 > 0 is a parameter, and c is a constant. (a) Find the expression of c in terms of 1. (b) Find E(X). (Hint: You can use the fact that, if Y ~ Poisson(1), the E(Y) = 1.)

Answer 2

Question

Chapter C, Problem 22E

a.

To determine

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

b.

To determine

Check whether the average math SAT score of students at this university is greater than 600.

c.

To determine

Find the proportion of females in the sample with higher verbal SAT score.

Find the proportion of males in the sample with higher verbal SAT score.

Check whether there is a difference between the proportion of females with a higher verbal score and the proportion of males with a higher verbal score for all the students at this university.

Find and interpret the 95% confidence interval for the difference between the proportions of females with a higher verbal score minus the proportion of males with a higher verbal score.

d.

To determine

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

e.

To determine

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

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Answer 3

Question

Chapter C, Problem 22E

a.

To determine

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

b.

To determine

Check whether the average math SAT score of students at this university is greater than 600.

c.

To determine

Find the proportion of females in the sample with higher verbal SAT score.

Find the proportion of males in the sample with higher verbal SAT score.

Check whether there is a difference between the proportion of females with a higher verbal score and the proportion of males with a higher verbal score for all the students at this university.

Find and interpret the 95% confidence interval for the difference between the proportions of females with a higher verbal score minus the proportion of males with a higher verbal score.

d.

To determine

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

e.

To determine

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

Expert Solution & Answer

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Answer 4

Question

Chapter C, Problem 22E

a.

To determine

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

b.

To determine

Check whether the average math SAT score of students at this university is greater than 600.

c.

To determine

Find the proportion of females in the sample with higher verbal SAT score.

Find the proportion of males in the sample with higher verbal SAT score.

Check whether there is a difference between the proportion of females with a higher verbal score and the proportion of males with a higher verbal score for all the students at this university.

Find and interpret the 95% confidence interval for the difference between the proportions of females with a higher verbal score minus the proportion of males with a higher verbal score.

d.

To determine

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

e.

To determine

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

Expert Solution & Answer

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Answer 5

Chapter C, Problem 22E

a.

To determine

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

b.

To determine

Check whether the average math SAT score of students at this university is greater than 600.

c.

To determine

Find the proportion of females in the sample with higher verbal SAT score.

Find the proportion of males in the sample with higher verbal SAT score.

Check whether there is a difference between the proportion of females with a higher verbal score and the proportion of males with a higher verbal score for all the students at this university.

Find and interpret the 95% confidence interval for the difference between the proportions of females with a higher verbal score minus the proportion of males with a higher verbal score.

d.

To determine

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

e.

To determine

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

Answer 6

Chapter C, Problem 22E

a.

To determine

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

Answer 7

Chapter C, Problem 22E

a.

To determine

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

Answer 8

b.

To determine

Check whether the average math SAT score of students at this university is greater than 600.

Answer 9

b.

To determine

Check whether the average math SAT score of students at this university is greater than 600.

Answer 10

c.

To determine

Find the proportion of females in the sample with higher verbal SAT score.

Find the proportion of males in the sample with higher verbal SAT score.

Check whether there is a difference between the proportion of females with a higher verbal score and the proportion of males with a higher verbal score for all the students at this university.

Find and interpret the 95% confidence interval for the difference between the proportions of females with a higher verbal score minus the proportion of males with a higher verbal score.

Answer 11

c.

To determine

Find the proportion of females in the sample with higher verbal SAT score.

Find the proportion of males in the sample with higher verbal SAT score.

Check whether there is a difference between the proportion of females with a higher verbal score and the proportion of males with a higher verbal score for all the students at this university.

Find and interpret the 95% confidence interval for the difference between the proportions of females with a higher verbal score minus the proportion of males with a higher verbal score.

Answer 12

d.

To determine

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

Answer 13

d.

To determine

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

Answer 14

e.

To determine

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

Answer 15

e.

To determine

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

Ch. C - Prob. 1E Ch. C - Prob. 2E Ch. C - In Exercises C.1 to C.8, identify the method of...Ch. C - Prob. 4E Ch. C - Prob. 5E Ch. C - Prob. 6E Ch. C - In Exercises C.1 to C.8, identify the method of...Ch. C - Prob. 8E Ch. C - Prob. 9E Ch. C - Prob. 10E

Find the percentage of students in the sample smoke. Check whether the percentage of all the students at this university who smoke are different from the national percentage.

Concept explainers

Videos

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

Check whether the average math SAT score of students at this university is greater than 600.

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

Want to see the full answer?

Chapter C Solutions

Find the percentage of students in the sample smoke. Check whether the percentage of all the students at this university who smoke are different from the national percentage.

Concept explainers

Videos

Find the percentage of students in the sample smoke. Check whether the percentage of all the students at this university who smoke are different from the national percentage.

Check whether the average math SAT score of students at this university is greater than 600.

Find the higher average pulse rate in the sample. Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

Find the higher average grade point average in the sample. Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university. Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.

Want to see the full answer?

Chapter C Solutions

Find the percentage of students in the sample smoke.

Check whether the percentage of all the students at this university who smoke are different from the national percentage.

Find the higher average pulse rate in the sample.

Check whether there is evidence for a difference in mean pulse rate between smokers and non-smokers for all the students at this university.

Find the higher average grade point average in the sample.

Check whether there is evidence for a difference in the mean GPA between smokers and non-smokers for all the students at this university.

Check whether the results are significant at a 10% level, at a 5% level, and at a 1% level.