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Problem 3. According to a recent study, Americans get an average of 7 hours of sleep per night. A random sample of 49 residents in Carrollton, GA has a mean of 6.8 hours sleep time per night. The sample standard deviation is 0.9 hours. Is it reasonable to conclude that residents in Carrollton have less sleep than the typical American? a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.01 significance level and state your conclusion. Let u be the mean sleep time among Carrollton residents. The two hypotheses are Ho:μ ≥7 and HA μ< 7. The test statistic is given by t= 至一段 s/√n 6.8-7 0.9/√49 = -1.556. This is a left-sided t test with a degrees of freedom of n-1=49-1=48. The one- sided critical value is -2.047 (i.e., we reject if t < -2.047). We thus do not reject the null hypothesis and cannot establish the conclusion that Carrollton residents sleep less than the typical American.

Problem 3. According to a recent study, Americans get an average of 7 hours of sleep per night. A random sample of 49 residents in Carrollton, GA has a mean of 6.8 hours sleep time per night. The sample standard deviation is 0.9 hours. Is it reasonable to conclude that residents in Carrollton have less sleep than the typical American? a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.01 significance level and state your conclusion. Let u be the mean sleep time among Carrollton residents. The two hypotheses are Ho:μ ≥7 and HA μ< 7. The test statistic is given by t= 至一段 s/√n 6.8-7 0.9/√49 = -1.556. This is a left-sided t test with a degrees of freedom of n-1=49-1=48. The one- sided critical value is -2.047 (i.e., we reject if t < -2.047). We thus do not reject the null hypothesis and cannot establish the conclusion that Carrollton residents sleep less than the typical American.

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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please help me fix this issue, using the =t.inv on excel is giving me -2.406

can -2.047 be a typo??

thanks 

Problem 3. According to a recent study, Americans get an average of 7 hours of sleep per night. A random sample of 49 residents in Carrollton, GA has a mean of 6.8 hours sleep time per night. The sample standard deviation is 0.9 hours. Is it reasonable to conclude that residents in Carrollton have less sleep than the typical American? a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.01 significance level and state your conclusion. Let u be the mean sleep time among Carrollton residents. The two hypotheses are Ho:μ ≥7 and HA: <7. The test statistic is given by t= 另一位 s/√ 6.8-7 0.9/√49 -1.556. This is a left-sided t test with a degrees of freedom of n-1=49-1 = 48. The one- sided critical value is -2.047 (i.e., we reject if t < -2.047). We thus do not reject the null hypothesis and cannot establish the conclusion that Carrollton residents sleep less than the typical American.
Transcribed Image Text:Problem 3. According to a recent study, Americans get an average of 7 hours of sleep per night. A random sample of 49 residents in Carrollton, GA has a mean of 6.8 hours sleep time per night. The sample standard deviation is 0.9 hours. Is it reasonable to conclude that residents in Carrollton have less sleep than the typical American? a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.01 significance level and state your conclusion. Let u be the mean sleep time among Carrollton residents. The two hypotheses are Ho:μ ≥7 and HA: <7. The test statistic is given by t= 另一位 s/√ 6.8-7 0.9/√49 -1.556. This is a left-sided t test with a degrees of freedom of n-1=49-1 = 48. The one- sided critical value is -2.047 (i.e., we reject if t < -2.047). We thus do not reject the null hypothesis and cannot establish the conclusion that Carrollton residents sleep less than the typical American.
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