9. Firm ABC in Ottawa very prides itself in its ability to fill customers' orders in six calendar days or less on the average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based on this sample information, he decides if the desired standard is not being met. He will assume that the average number of days to fill customers' orders is six or less unless the data suggest strongly otherwise. (a) Establish the appropriate null and alternative hypotheses. (b) On one occasion when a sample of 20 customers was selected, the average number of days was 6.65, with a sample standard deviation of 1.5 days. Can the operations manager conclude that his business is achieving its goal? Do the test with a significance level of 0.025 and specify the assumption required to do the test.

MATLAB: An Introduction with Applications
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9. Firm ABC in Ottawa very prides itself in its ability to fill customers' orders in six calendar days
or less on the average. Periodically, the operations manager selects a random sample of
customer orders and determines the number of days required to fill the orders. Based on this
sample information, he decides if the desired standard is not being met. He will assume that the
average number of days to fill customers' orders is six or less unless the data suggest strongly
otherwise.
(a) Establish the appropriate null and alternative hypotheses.
(b) On one occasion when a sample of 20 customers was selected, the average number of
days was 6.65, with a sample standard deviation of 1.5 days. Can the operations manager
conclude that his business is achieving its goal? Do the test with a significance level of
0.025 and specify the assumption required to do the test.
Transcribed Image Text:9. Firm ABC in Ottawa very prides itself in its ability to fill customers' orders in six calendar days or less on the average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based on this sample information, he decides if the desired standard is not being met. He will assume that the average number of days to fill customers' orders is six or less unless the data suggest strongly otherwise. (a) Establish the appropriate null and alternative hypotheses. (b) On one occasion when a sample of 20 customers was selected, the average number of days was 6.65, with a sample standard deviation of 1.5 days. Can the operations manager conclude that his business is achieving its goal? Do the test with a significance level of 0.025 and specify the assumption required to do the test.
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