The following n = 10 observations are a sample from a normal population. 7.3 7.0 6.5 7.5 7.6 6.3 6.9 7.7 6.5 7.0 (a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.) mean standard deviation (b) Find a 99% upper one-sided confidence bound for the population mean u. (Round your answer to three decimal places.) (c) Test Ho: u = 7.5 versus H: u < 7.5. Use a = 0.01. State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> t < State the conclusion. O H, is rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O H, is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5. O H, is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O H, is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
The following n = 10 observations are a sample from a normal population. 7.3 7.0 6.5 7.5 7.6 6.3 6.9 7.7 6.5 7.0 (a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.) mean standard deviation (b) Find a 99% upper one-sided confidence bound for the population mean u. (Round your answer to three decimal places.) (c) Test Ho: u = 7.5 versus H: u < 7.5. Use a = 0.01. State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> t < State the conclusion. O H, is rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O H, is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5. O H, is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O H, is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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20 this question has part a,b,c, and d
Transcribed Image Text:The following n = 10 observations are a sample from a normal population.
7.3 7.0
6.5 7.5 7.6 6.3
6.9 7.7 6.5 7.0
(a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.)
mean
standard deviation
(b) Find a 99% upper one-sided confidence bound for the population mean u. (Round your answer to three decimal places.)
(c) Test Ho: u = 7.5 versus H: u < 7.5. Use a = 0.01.
State the test statistic. (Round your answer to three decimal places.)
t =
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t>
t <
State the conclusion.
O H, is rejected. There is insufficient evidence to conclude that the mean is less than 7.5.
O H, is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
H, is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5.
O H, is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
(d) Do the results of part (b) support your conclusion in part (c)?
O Yes
O No
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