Watch your weight: A study published in 2008 reported that the mean weight of men aged 40-59 was 89.3 kg. Another study, published in 2016, reported that a sample of 192 men aged 40-59 had an average weight of 87 kg. Assume the population standard deviation is =σ14.2 kg. Can you conclude that the mean weight of men aged 40-59 is lower in 2016 than in 2008? Use the =α0.05 level of significance.Part 1 of 5(a) State the appropriate null and alternate hypotheses.H0: =μ89.3H1: <μ89.3The hypothesis test is a ▼left-tailed test.Part: 1 / 51 of 5 Parts CompletePart 2 of 5(b) Compute the value of the test statistic. Round your answer to two decimal places.z=

An investigator wants to assess whether the mean (mu) = 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 25 passengers showed an average total weight of 200 pounds with a sample standard deviation of 59.5 pounds. Assume that passenger total weights are normally distributed. Which of the following is an appropriate conclusion (alpha= .05)? Group of answer choicesthe average total weight of all passengers appears to be greater than 185 pounds.null hypothesis should be revisedthe average total weight of all passengers appears to be not greater than 185 pounds.

Height and age: Are older men shorter than younger men? According to a national report, the mean height for U.S. men is 69.4 inches. In a sample of 304 men between the ages of 60 and 69, the mean height was =x68.8 inches. Public health officials want to determine whether the mean height μ for older men is less than the mean height of all adult men. Assume the population standard deviation to be =σ3.13. Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.Part: 0 / 50 of 5 Parts CompletePart 1 of 5(a) State the appropriate null and alternate hypotheses.:H0  :H1  This hypothesis test is a ▼(Choose one) test.

An investigator wants to assess whether the mean (mu) = 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 25 passengers showed an average total weight of 200 pounds with a sample standard deviation of 59.5 pounds. Assume that passenger total weights are normally distributed.What is the value of the test statistic?        Group of answer choicest = 1,8t = 1.50t = 1.65t = 1.26

A sample of 39 observations is selected from a normal population. The sample mean is 43, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.02 significance level.

A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of 127 residents and found the mean weight to be 151 pounds with a standard deviation of 21 pounds. At the 95% confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth.