control engineer, suspects that the production process does not ensure each serving contains 40 mg of vitamins, on To test his suspicions, Fred collects a random sample of 8 servings and determines their average vitamin content to 24.9996 mg with a standard deviation of 5.0013 mg. Fred uses a 95% confidence interval to test the null hypothesis Ho: µ = Ho versus the alternative H1:µ # Ho, where the hypothesized population mean µ0 is 40 mg. %3D What are the upper and lower limits of Fred's interval? Enter your results to two decimal places. lower limit: mg upper limit: mg

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Suppose production specifications for a new energy drink require exactly 40 mg of vitamins per serving. Fred, a quality
control engineer, suspects that the production process does not ensure each serving contains 40 mg of vitamins, on average.
To test his suspicions, Fred collects a random sample of 8 servings and determines their average vitamin content to be
24.9996 mg with a standard deviation of 5.0013 mg. Fred uses a 95% confidence interval to test the null hypothesis
Ho: H = Ho versus the alternative H1: µ + Ho, where the hypothesized population mean 4o is 40 mg.
What are the upper and lower limits of Fred's interval? Enter your results to two decimal places.
lower limit:
mg
upper limit:
mg
Based on the confidence interval computed above, Fred should
the null hypothesis
because the
at a significance level of 0.05.
Transcribed Image Text:Suppose production specifications for a new energy drink require exactly 40 mg of vitamins per serving. Fred, a quality control engineer, suspects that the production process does not ensure each serving contains 40 mg of vitamins, on average. To test his suspicions, Fred collects a random sample of 8 servings and determines their average vitamin content to be 24.9996 mg with a standard deviation of 5.0013 mg. Fred uses a 95% confidence interval to test the null hypothesis Ho: H = Ho versus the alternative H1: µ + Ho, where the hypothesized population mean 4o is 40 mg. What are the upper and lower limits of Fred's interval? Enter your results to two decimal places. lower limit: mg upper limit: mg Based on the confidence interval computed above, Fred should the null hypothesis because the at a significance level of 0.05.
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