A test concerning the mean of a Normal population distribution is carried out at the 5% level of significance. You may assume that the standard deviation of the population distribution is 0.71 hours, and the sample size is n. The null and alternative hypotheses are follows: Hou = 6.93 hours, H₁:μ# 6.93 hours where μ is the mean of the population distribution. A) If the null hypothesis is true, what is the probability that we. incorrectly reject it? B) If the null hypothesis is true, what is the probability that the p-value will be greater than 1% ? C) If the true mean is 7.6 hours, what is the smallest integer sample size n which will achieve a power of at least 85%. D) If the sample size is 11, and the sample mean comes out as 7.2 metres, what is the p-value?
A test concerning the mean of a Normal population distribution is carried out at the 5% level of significance. You may assume that the standard deviation of the population distribution is 0.71 hours, and the sample size is n. The null and alternative hypotheses are follows: Hou = 6.93 hours, H₁:μ# 6.93 hours where μ is the mean of the population distribution. A) If the null hypothesis is true, what is the probability that we. incorrectly reject it? B) If the null hypothesis is true, what is the probability that the p-value will be greater than 1% ? C) If the true mean is 7.6 hours, what is the smallest integer sample size n which will achieve a power of at least 85%. D) If the sample size is 11, and the sample mean comes out as 7.2 metres, what is the p-value?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A test concerning the mean of a Normal population distribution is carried out at the 5% level of significance.
You may assume that the standard deviation of the population distribution is 0.71 hours, and the sample size
is n. The null and alternative hypotheses are follows: Hou = 6.93 hours, Hu 6.93 hours where μ is the
mean of the population distribution. A) If the null hypothesis is true, what is the probability that we.
incorrectly reject it? B) If the null hypothesis is true, what is the probability that the p - value will be greater
than 1% ? C) If the true mean is 7.6 hours, what is the smallest integer sample size n which will achieve a
power of at least 85 %. D) If the sample size is 11, and the sample mean comes out as 7.2 metres, what is
the p-value?
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VIEWStep 2: Determine the probability that we incorrectly reject the true null hypothesis.
VIEWStep 3: Determine the probability that the p-value will be greater than 1% given that H0 is true.
VIEWStep 4: Determine the smallest integer sample size n which will achieve a power of at least 85 %.
VIEWStep 5: Determine the p-value for the hypothesis test.
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