Question

The alternative hypothesis is H1: p < 0.15, and the test statistic is z= -1.37 ....

  1. The alternative hypothesis is H1: p < 0.15, and the test statistic is z= -1.37 . Find p-value of the large sample one proportion z-test.
  1. Find critical value t a/2 for a one sample t test to test H1: μ   ≠ 5 at a significance level a=0.05 and degrees freedom = 15.
  2. A company wants to determine if the average shearing strength of all rivets manufactured is more than 1000 lbs. A sample of 25 rivets is selected and tested for the shearing strength. After calculation, the mean shearing strength of these 20 selected rivets is 1003.8 lbs and a 99% confidence interval is (1001.4, 1006.2) for the average shearing strength of all rivets manufactured. Which of the following statement is true?
  1. A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined. After some calculation, the sample mean is 2.94 and the sample standard deviation is 0.11. Find a 90% confidence interval for the population mean length of nails produce by the machine. Please input the upper limit of the confidence interval.

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