To construct: The 90% confidence interval for the population mean.

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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 8.2, Problem 65E

a.

To determine

To construct: The 90% confidence interval for the population mean.

b.

To determine

To find: The margin of error using the confidence interval.

c.

To determine

To find: The margin of error using the usual formula.

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Heart rate during laughter. Laughter is often called “the best medicine,” since studies have shown that laughter can reduce muscle tension and increase oxygenation of the blood. In the International Journal of Obesity (Jan. 2007), researchers at Vanderbilt University investigated the physiological changes that accompany laughter. Ninety subjects (18–34 years old) watched film clips designed to evoke laughter. During the laughing period, the researchers measured the heart rate (beats per minute) of each subject, with the following summary results: Mean = 73.5, Standard Deviation = 6. n=90 (we can treat this as a large sample and use z) It is well known that the mean resting heart rate of adults is 71 beats per minute. Based on the research on laughter and heart rate, we would expect subjects to have a higher heart beat rate while laughing.Construct 95% Confidence interval using z value. What is the lower bound of CI? a) Calculate the value of the test statistic.(z*) b) If…

In Exercises 5–12, identify whether the given value is a statistic or a parameter. Birth Weight In a study of 400 babies born at four different hospitals in New York State, it was found that the average (mean) weight at birth was 3152.0 grams.

A team of pharmacists was researching two sleeping pills they were developing. 20 individuals took part in the study and they were randomly divided into two groups and one group received sleeping pills 1 and the other group sleeping pills 2. The pharmacists then measured how long the individuals slept after ingestion. The data can be seen below: SLEEPING MEDICINE 1 SLEEPING MEDICINE 2 9.2 6.8 7.4 6.2 10.1 8.1 6.8 7.2 9.1 5.8 8.2 8.8 9.2 6.2 8.8 7.1 7.6 7.3 8.8 6.9 Let us now assume that the assumptions that need to apply can be used in a study such as this to confirm the efficacy of the drugs. Examine with an appropriate hypothesis test whether there is a difference in mean sleep duration after taking the two drugs. In the event that you need to check whether the distribution in the two groups can be assumed to be the same, it is sufficient to use the rule of thumb to determine this. Sleep duration can be assumed to follow a normal distribution. Use a = 0.05. Show all six steps. Please…

Answer 2

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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 8.2, Problem 65E

a.

To determine

To construct: The 90% confidence interval for the population mean.

b.

To determine

To find: The margin of error using the confidence interval.

c.

To determine

To find: The margin of error using the usual formula.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

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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 8.2, Problem 65E

a.

To determine

To construct: The 90% confidence interval for the population mean.

b.

To determine

To find: The margin of error using the confidence interval.

c.

To determine

To find: The margin of error using the usual formula.

Expert Solution & Answer

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Answer 4

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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 8.2, Problem 65E

a.

To determine

To construct: The 90% confidence interval for the population mean.

b.

To determine

To find: The margin of error using the confidence interval.

c.

To determine

To find: The margin of error using the usual formula.

Expert Solution & Answer

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Answer 5

Chapter 8.2, Problem 65E

a.

To determine

To construct: The 90% confidence interval for the population mean.

b.

To determine

To find: The margin of error using the confidence interval.

c.

To determine

To find: The margin of error using the usual formula.

Answer 6

Chapter 8.2, Problem 65E

a.

To determine

To construct: The 90% confidence interval for the population mean.

Answer 7

Chapter 8.2, Problem 65E

a.

To determine

To construct: The 90% confidence interval for the population mean.

Answer 8

b.

To determine

To find: The margin of error using the confidence interval.

Answer 9

b.

To determine

To find: The margin of error using the confidence interval.

Answer 10

c.

To determine

To find: The margin of error using the usual formula.

Answer 11

c.

To determine

To find: The margin of error using the usual formula.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 8.1 - The value of a statistic used to estimate a...Ch. 8.1 - What is a confidence-interval estimate of a...Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Suppose that you lake 500 simple random samples...Ch. 8.1 - Prob. 7E Ch. 8.1 - A simple random sample is taken from a population...Ch. 8.1 - Refer to Exercise 8.7 and find a point estimate...Ch. 8.1 - Prob. 10E

To construct: The 90% confidence interval for the population mean.

Solution Summary: The author explains the 90% confidence interval for the population mean in Table II of the standard normal distribution in Appendix A.

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To construct: The 90% confidence interval for the population mean.

To find: The margin of error using the confidence interval.

To find: The margin of error using the usual formula.

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