Whether the sampling distribution x ¯ is normal or not.

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Answer 1

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9.1, Problem 13P

(a)

To determine

Whether the sampling distribution x¯ is normal or not.

(a)

To determine

To find: The sample test statistic z.

(c)

To determine

To find: The P-value of the test statistic.

(d)

To determine

Whether we reject or fail to reject the null hypothesis for a level of significance of 0.05.

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(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent. A. false: all observations must be independent B. true C. false: only observations with the same outcome need to be independent I ANSWERED: A. false: all observations must be independent. (This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)

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Spam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output: Estimate SE Z Pr(>|Z|) (Intercept) -0.8161 0.086 -9.4895 0 to_multiple -2.5651 0.3052 -8.4047 0 winner 1.5801 0.3156 5.0067 0 format -0.1528 0.1136 -1.3451 0.1786 re_subj -2.8401 0.363 -7.824 0 (a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…

Answer 2

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9.1, Problem 13P

(a)

To determine

Whether the sampling distribution x¯ is normal or not.

(a)

To determine

To find: The sample test statistic z.

(c)

To determine

To find: The P-value of the test statistic.

(d)

To determine

Whether we reject or fail to reject the null hypothesis for a level of significance of 0.05.

Expert Solution & Answer

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Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9.1, Problem 13P

(a)

To determine

Whether the sampling distribution x¯ is normal or not.

(a)

To determine

To find: The sample test statistic z.

(c)

To determine

To find: The P-value of the test statistic.

(d)

To determine

Whether we reject or fail to reject the null hypothesis for a level of significance of 0.05.

Expert Solution & Answer

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Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9.1, Problem 13P

(a)

To determine

Whether the sampling distribution x¯ is normal or not.

(a)

To determine

To find: The sample test statistic z.

(c)

To determine

To find: The P-value of the test statistic.

(d)

To determine

Whether we reject or fail to reject the null hypothesis for a level of significance of 0.05.

Expert Solution & Answer

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Answer 5

Chapter 9.1, Problem 13P

(a)

To determine

Whether the sampling distribution x¯ is normal or not.

(a)

To determine

To find: The sample test statistic z.

(c)

To determine

To find: The P-value of the test statistic.

(d)

To determine

Whether we reject or fail to reject the null hypothesis for a level of significance of 0.05.

Answer 6

Chapter 9.1, Problem 13P

(a)

To determine

Whether the sampling distribution x¯ is normal or not.

Answer 7

Chapter 9.1, Problem 13P

(a)

To determine

Whether the sampling distribution x¯ is normal or not.

Answer 8

(a)

To determine

To find: The sample test statistic z.

Answer 9

(a)

To determine

To find: The sample test statistic z.

Answer 10

(c)

To determine

To find: The P-value of the test statistic.

Answer 11

(c)

To determine

To find: The P-value of the test statistic.

Answer 12

(d)

To determine

Whether we reject or fail to reject the null hypothesis for a level of significance of 0.05.

Answer 13

(d)

To determine

Whether we reject or fail to reject the null hypothesis for a level of significance of 0.05.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Whether the sampling distribution x ¯ is normal or not.

Solution Summary: The author explains that the sampling distribution (stackrel x) is normal, and the test statistic z is 0.2628.

Whether the sampling distribution x¯ is normal or not.

To find: The sample test statistic z.

To find: The P-value of the test statistic.

Whether we reject or fail to reject the null hypothesis for a level of significance of 0.05.

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Chapter 9 Solutions