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 7.0300 standard deviation 0.4923 (b) Find a 99% upper one-sided confidence bound for the population mean u. (Round your answer to three decimal places.) 7.536 x (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 = -3.019 State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> NONE t< -2.821 State the conclusion. Ho is rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O Họ is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5. O Họ is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O Ho is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.)
7.0300
mean
standard deviation
0.4923
(b) Find a 99% upper one-sided confidence bound for the population mean u. (Round your answer to three decimal places.)
7.536 X
(c) Test Hn: µ = 7.5 versus H2: µ < 7.5. Use a = 0.01.
State the test statistic. (Round your answer to three decimal places.)
t = -3.019
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t> NONE
t< -2.821
State the conclusion.
O Ho is rejected. There is insufficient evidence to conclude that the mean is less than 7.5.
Ho is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
O Hn is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5.
Ho is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
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.) 7.0300 mean standard deviation 0.4923 (b) Find a 99% upper one-sided confidence bound for the population mean u. (Round your answer to three decimal places.) 7.536 X (c) Test Hn: µ = 7.5 versus H2: µ < 7.5. Use a = 0.01. State the test statistic. (Round your answer to three decimal places.) t = -3.019 State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> NONE t< -2.821 State the conclusion. O Ho is rejected. There is insufficient evidence to conclude that the mean is less than 7.5. Ho is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5. O Hn is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5. Ho is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
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