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3: In a 1868 paper, German physician Carl Wunderlich reported based on over a million body temperature readings that the mean body temperature for healthy adults is 98.6° F. However, it is now commonly believed that the mean body temperature of a healthy adult is less than what was reported in that paper. To test this hypothesis a researcher measures the following body temperatures from a random sample of healthy adults. 98.2, 98.4, 98.7, 98.7, 97.7, 98.4, 98.5, 97.8 =): (a) Find the 5% critical value. (b) Find the value of the test statistic. (c) Work through this example on R, and then use R to find the p-value for the relevant hypothesis test. (d) Since the sample size is less than 30, the above analysis requires that the population follows a normal distribuiton. What method could be used to check this assumption? critical value (correct to 3 decimals) (d): Select What method? test statistic (correct to 4 decimals) p-value (A) One-sample z-test for a population mean. (B) Draw a Normal QQ plot, and see if the points fall close to a straight line. (C) check to see if the answer in (a) is less than the answer in (b). (D) Draw a Normal QQ plot, and see if the points are bell-shaped (like the normal curve). (E) Check to see if the p-value in (c) above is less than the a value. (F) Check to see if the p-value in (c) above is greater than .10. (G) One-sample t-test for a population mean. (H) check to see if the answer in (a) is greater than or equal to the answer in (b).

3: In a 1868 paper, German physician Carl Wunderlich reported based on over a million body temperature readings that the mean body temperature for healthy adults is 98.6° F. However, it is now commonly believed that the mean body temperature of a healthy adult is less than what was reported in that paper. To test this hypothesis a researcher measures the following body temperatures from a random sample of healthy adults. 98.2, 98.4, 98.7, 98.7, 97.7, 98.4, 98.5, 97.8 =): (a) Find the 5% critical value. (b) Find the value of the test statistic. (c) Work through this example on R, and then use R to find the p-value for the relevant hypothesis test. (d) Since the sample size is less than 30, the above analysis requires that the population follows a normal distribuiton. What method could be used to check this assumption? critical value (correct to 3 decimals) (d): Select What method? test statistic (correct to 4 decimals) p-value (A) One-sample z-test for a population mean. (B) Draw a Normal QQ plot, and see if the points fall close to a straight line. (C) check to see if the answer in (a) is less than the answer in (b). (D) Draw a Normal QQ plot, and see if the points are bell-shaped (like the normal curve). (E) Check to see if the p-value in (c) above is less than the a value. (F) Check to see if the p-value in (c) above is greater than .10. (G) One-sample t-test for a population mean. (H) check to see if the answer in (a) is greater than or equal to the answer in (b).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem #3: In a 1868 paper, German physician Carl Wunderlich reported based on over a million body temperature readings that the mean body temperature for healthy adults is 98.6° F. However, it is now commonly believed that the mean body temperature of a healthy adult is less than what was reported in that paper. To test this hypothesis a researcher measures the following body temperatures from a random sample of healthy adults. 98.2, 98.4, 98.7, 98.7, 97.7, 98.4, 98.5, 97.8 Problem #3(a): Problem #3(b): Problem #3(c): (a) Find the 5% critical value. (b) Find the value of the test statistic. (c) Work through this example on R, and then use R to find the p-value for the relevant hypothesis test. (d) Since the sample size is less than 30, the above analysis requires that the population follows a normal distribuiton. What method could be used to check this assumption? critical value (correct to 3 decimals) test statistic (correct to 4 decimals) Problem #3(d): Select What method? p-value (A) One-sample z-test for a population mean. (B) Draw a Normal QQ plot, and see if the points fall close to a straight line. (C) check to see if the answer in (a) is less than the answer in (b). (D) Draw a Normal QQ plot, and see if the points are bell-shaped (like the normal curve). (E) Check to see if the p-value in (c) above is less than the a value. (F) Check to see if the p-value in (c) above is greater than .10. (G) One-sample t-test for a population mean. (H) check to see if the answer in (a) is greater than or equal to the answer in (b).
Transcribed Image Text:Problem #3: In a 1868 paper, German physician Carl Wunderlich reported based on over a million body temperature readings that the mean body temperature for healthy adults is 98.6° F. However, it is now commonly believed that the mean body temperature of a healthy adult is less than what was reported in that paper. To test this hypothesis a researcher measures the following body temperatures from a random sample of healthy adults. 98.2, 98.4, 98.7, 98.7, 97.7, 98.4, 98.5, 97.8 Problem #3(a): Problem #3(b): Problem #3(c): (a) Find the 5% critical value. (b) Find the value of the test statistic. (c) Work through this example on R, and then use R to find the p-value for the relevant hypothesis test. (d) Since the sample size is less than 30, the above analysis requires that the population follows a normal distribuiton. What method could be used to check this assumption? critical value (correct to 3 decimals) test statistic (correct to 4 decimals) Problem #3(d): Select What method? p-value (A) One-sample z-test for a population mean. (B) Draw a Normal QQ plot, and see if the points fall close to a straight line. (C) check to see if the answer in (a) is less than the answer in (b). (D) Draw a Normal QQ plot, and see if the points are bell-shaped (like the normal curve). (E) Check to see if the p-value in (c) above is less than the a value. (F) Check to see if the p-value in (c) above is greater than .10. (G) One-sample t-test for a population mean. (H) check to see if the answer in (a) is greater than or equal to the answer in (b).
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