A construction material manufacturer produces composite beams that are claimed to hold up to a maximum weight of 6000 Ibs without failing. A sample of 100 beams is gathered, and each beam is subjected to an increasing weight load until the beam fails. The sample mean weight required to cause failure in this sample was found to be 5900 lbs with a sample standard deviation of 800 Ibs. Test the null hypothesis Họ : µ > 6000 against the alternative hypothesis H1 : µ < 6000 at significance level a = 0.05. Calculate your test statistic. Calculate your critical value at the edge of the rejection region. Calculate the p-value What is the conclusion of the hypothesis test? O Reject the null hypothesis. O Do not reject the null hypothesis. Interpret the result of this hypothesis test. O The hypothesis test gives absolute certainty. The true mean strength is definitely above 6000 Ibs. O The true mean strength is still unknown. It may be above or below 6000 Ibs. Our data suggests it is below 6000 Ibs, but we cannot be certain. More data should be gathered. O The hypothesis test gives a absolute certainty. The true mean strength is definitely below 6000 Ibs. O The true mean strength is still unknown. It may be above or below 6000 Ibs. Our data suggests it is above 6000 Ibs, but we cannot be certain. More data should be gathered.
A construction material manufacturer produces composite beams that are claimed to hold up to a maximum weight of 6000 Ibs without failing. A sample of 100 beams is gathered, and each beam is subjected to an increasing weight load until the beam fails. The sample mean weight required to cause failure in this sample was found to be 5900 lbs with a sample standard deviation of 800 Ibs. Test the null hypothesis Họ : µ > 6000 against the alternative hypothesis H1 : µ < 6000 at significance level a = 0.05. Calculate your test statistic. Calculate your critical value at the edge of the rejection region. Calculate the p-value What is the conclusion of the hypothesis test? O Reject the null hypothesis. O Do not reject the null hypothesis. Interpret the result of this hypothesis test. O The hypothesis test gives absolute certainty. The true mean strength is definitely above 6000 Ibs. O The true mean strength is still unknown. It may be above or below 6000 Ibs. Our data suggests it is below 6000 Ibs, but we cannot be certain. More data should be gathered. O The hypothesis test gives a absolute certainty. The true mean strength is definitely below 6000 Ibs. O The true mean strength is still unknown. It may be above or below 6000 Ibs. Our data suggests it is above 6000 Ibs, but we cannot be certain. More data should be gathered.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A construction material manufacturer produces composite beams that are claimed to hold up to a maximum weight of 6000
Ibs without failing. A sample of 100 beams is gathered, and each beam is subjected to an increasing weight load until the beam
fails. The sample mean weight required to cause failure in this sample was found to be 5900 lbs with a sample standard
deviation of 800 Ibs. Test the null hypothesis Họ : µ > 6000 against the alternative hypothesis H1 : µ < 6000 at significance
level a = 0.05.
Calculate your test statistic.
Calculate your critical value at the edge of the rejection region.
Calculate the p-value
What is the conclusion of the hypothesis test?
O Reject the null hypothesis.
O Do not reject the null hypothesis.
Interpret the result of this hypothesis test.
O The hypothesis test gives absolute certainty. The true mean strength is definitely above 6000 Ibs.
O The true mean strength is still unknown. It may be above or below 6000 Ibs. Our data suggests it is below 6000 Ibs, but we
cannot be certain. More data should be gathered.
O The hypothesis test gives a absolute certainty. The true mean strength is definitely below 6000 Ibs.
O The true mean strength is still unknown. It may be above or below 6000 Ibs. Our data suggests it is above 6000 Ibs, but we
cannot be certain. More data should be gathered.
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