(a) Identify the claim and state H0 and Ha. What is the​ claim? A. The wind speed in Region A is not greater than the wind speed in Region B. B. The wind speed in Region A is the same as the wind speed in Region B. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify H0 and Ha. Find the critical​ value(s) and identify the rejection region. Find the standardized test statistic z Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 40 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.6 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state H, and Ha. What is the claim? A. The mean braking distance is different for the two makes of automobiles. B. The mean braking distance is less for Make A automobiles than Make B…

To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)

A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 180 lb and a standard deviation of 36 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is 140 lb. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is: (Round to four decimal places as needed.)

The mean IQ of 200,000 current and past University of Manitoba students has been found to be 81.9. The standard deviation was found to be 13.1. The student enrollment at the University of Manitoba in 2016 was 29,987. The minimum IQ to be able to graduate from the University of Winnipeg has been found to be 104. Of the 29,987 students at the University of Manitoba in 2016, how many would be expected to be smart enough to graduate from the University of Winnipeg? Assume a Gaussian distribution.

An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: 1 В. z C. z< - 1.645 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)

A survey found that​ women's heights are normally distributed with mean 63.1 in. and standard deviation 2.4 in. The survey also found that​ men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.5. Complete parts a through c below.Question content area bottomPart 1a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement.The percentage of women who meet the height requirement is enter your response here​%.​(Round to two decimal places as​ needed.)Part 2b. Find the percentage of men meeting the height requirement.The percentage of men who meet the height requirement is enter your response here​%. ​(Round to two decimal places as​ needed.)Part 3c. If the height requirements are changed to exclude only the tallest​ 5% of men and the shortest​ 5% of​ women, what are the new height​ requirements? The new height requirements are…

A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 43 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…

A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 ​passengers, and the gondola is rated for a load limit of 3500lb. Complete parts​ (a) through​ (d) below. A. Given that the gondola is rated for a load limit of 3500​lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 ​passengers? The maximum mean weight is______ B.  If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean weight exceeds the value from part​ (a)? The probability is____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected​ skiers, what is the probability that their mean weight exceeds 186 ​lb, which is the maximum mean weight that does not cause the total load to exceed 3500​lb? The…

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately nothing​% of vehicles travel between 65 miles per hour and 71 miles per hour.