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3. An investigator wants to assess whether the average weight of passengers flying on small planes exceeds the FAA guideline of average total weight of 185 pounds (passenger weight including shoes, clothes, and carry-on). Suppose that a random sample of 51 passengers showed an average total weight of 200 pounds with a sample standard deviation of 59.5 pounds. a) Define the null and alternative hypothesis for answering the question being asked. Define both in words and in symbols. b) The R output for running this test is shown below. What do you conclude for this test using a 1% significance level? Include your decision and an interpretation in the context of the problem. Be specific. data: Summarized x z = 1.8004, p-value = 0.0359 alternative hypothesis: true mean is greater than 185 95 percent confidence interval: 186.2956 NA sample estimates: mean of x 200 c) What would a Type I error mean in the context of this problem?

          3. An investigator wants to assess whether the average weight of passengers flying on small planes exceeds the FAA guideline of average total weight of 185 pounds (passenger weight including shoes, clothes, and carry-on). Suppose that a random sample of 51 passengers showed an average total weight of 200 pounds with a sample standard deviation of 59.5 pounds.

a) Define the null and alternative hypothesis for answering the question being asked. Define both in words and in symbols.

b) The R output for running this test is shown below. What do you conclude for this test using a 1% significance level? Include your decision and an interpretation in the context of the problem. Be specific.
data: Summarized x
z = 1.8004, p-value = 0.0359
alternative hypothesis: true mean is greater than 185
95 percent confidence interval:
186.2956 NA
sample estimates:
mean of x
200

c) What would a Type I error mean in the context of this problem?

3. An investigator wants to assess whether the average weight of passengers flying on small planes exceeds the FAA guideline of average total weight of 185 pounds (passenger weight including shoes, clothes, and carry-on). Suppose that a random sample of 51 passengers showed an average total weight of 200 pounds with a sample standard deviation of 59.5 pounds.

a) Define the null and alternative hypothesis for answering the question being asked. Define both in words and in symbols.

b) The R output for running this test is shown below. What do you conclude for this test using a 1% significance level? Include your decision and an interpretation in the context of the problem. Be specific.
data: Summarized x
z = 1.8004, p-value = 0.0359
alternative hypothesis: true mean is greater than 185
95 percent confidence interval:
186.2956 NA
sample estimates:
mean of x
200

c) What would a Type I error mean in the context of this problem?

Added by Andrew B.

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