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 1 of 5(a) State the appropriate null and alternate hypotheses.:H0  =μ69.4:H1  <μ69.4This 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 the answer to two decimal places.z=

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=

Adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. Find the height of a man with a z-score of 1.46. Round your answer to one decimal place.

The heights of men aged 18 to 24 are approximately normally distributed with mean 173cm and standard deviation 6.5cm. Only about 5% of young men have heights outside the rangeGroup of answer choices166.5cm 179.5cm160.0cm to 186cm153.5cm  to 192.5cm147cm to 199cm

Which of the following represents the null and alternative hypotheses of the mean height of women is less  than 64

The distribution of heights of 6-year-old girls is approximately normally distributed with a mean of 46.0 inchesand a standard deviation of 2.7 inches. Aliyaah is 6 years old, and her height is 0.96 standard deviation above themean. Her friend Jayne is also 6 years old and is at the 93rd percentile of the height distribution. At whatpercentile is Aliyaah’s height, and how does her height compare to Jayne’s height?(A) Aliyaah’s height is at the 17th percentile of the distribution, and she is shorter than Jayne.(B) Aliyaah’s height is at the 67th percentile of the distribution, and she is shorter than Jayne.(C) Aliyaah’s height is at the 67th percentile of the distribution, and she is taller than Jayne.(D) Aliyaah’s height is at the 83rd percentile of the distribution, and she is shorter than Jayne.(E) Aliyaah’s height is at the 83rd percentile of the distribution, and she is taller than Jayne