Question

onsider the following null and alternative hypothesis: H0 : mu = 95 Ha : mu != 95 Assume the population is normally distributed with a standard deviation sigma= 15. A sample size of 18 resulted in a sample mean of ̄x = 93.72. (a) Compute alpha , the probability of a Type I error, if the rejection region is { ̄x < 90 or ̄x > 100}. (b) Let alpha = 0.05. Determine whether there is sufficient evidence to reject the null hypothesis. (c) Compute the probability of a Type II error when mu = 100, if alpha = 0.05

Name: onsider the following null and alternative hypothesis h0 mu 95 ha mu 95 assume the population is normally distributed with a standard deviation sigma 15 a sample size of 18 resulted in a sam 87512
Uploaded: 2023-06-02T17:15:59-08:00
Duration: 1 min 47 s
Channel: Adi S
Description: onsider the following null and alternative hypothesis h0 mu 95 ha mu 95 assume the population is normally distributed with a standard deviation sigma 15 a sample size of 18 resulted in a sam 87512

          onsider the following null and alternative hypothesis:
H0 : mu  = 95
Ha : mu  != 95
Assume the population is normally distributed with a standard deviation sigma= 15. A sample size of 18 resulted in a sample mean of  ̄x = 93.72.
(a) Compute alpha , the probability of a Type I error, if the rejection region is
{ ̄x < 90 or  ̄x > 100}.
(b) Let alpha  = 0.05. Determine whether there is sufficient evidence to reject the null hypothesis.
(c) Compute the probability of a Type II error when mu  = 100, if alpha  = 0.05

Added by Lorenzo R.

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