A certain medication is supposed to contain a dosage of 250 mgper pill. A lab is quality testing the drug to determine if it contains the correctdosage, on average.A sample of 50 pills has average dosage 232 mg with standarddeviation 25 mg. At a 2% level of significance, perform the hypothesis test.

The Academy of Orthopedic Surgeons states that 80% of women wear shoes that are too small for their feet. A researcher wants to be 98% confident that this proportion is within 3 percentage points of the true proportion.  How large a sample is necessary?

Floretta, a golfer, claims that her drive distance is not equal to 238 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She hits 19 drives, collects the proper data, and works through the testing procedure: • Hou = 238; HH #238 • a = 0.05 (significance level) The test statistic is X-Ho Zo == 256-238 14 V19 <= 5.6 • The critical values are -20.025 = -1.96 and 20.025 = 1.96. Conclude whether to reject or not reject Ho. and interpret the results. Select the correct answer below: Reject Ho. At the 5% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis. Reject Ho. At the 5% significance level, the data provide sufficient evidence to conclude that the mean distance is not equal to 238 meters. Do not reject Ho. At the 5% significance level, the test results are not statistically significant and at best, provide…

A special close-tolerance retaining was manufactured for the space shuttle space craft. The machine which produced the ring has a defective rate of 8%. If the 50 rings were made, determine the chance of observing less than 2 defectives in sample of 8.