An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.71 inch. The lower and upper specification limits under which the ball bearings can operate are 0.69 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.713 inch and a standard deviation of 0.004 inch. Complete parts (a) through (e) below.
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- 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.)A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is filled with 25 randomly selected passengers, 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 water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight…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 biologist measures the stem length of plants. The following data was obtained.Length (cm) x Frequency(f) 25 3 26 9 27 10 28 12 29 2030 1931 1432 13Find the:i. The Meanii. The modeiii. The medianiv. Quartile Deviationv. SkewnessAn industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.72 inch. The lower and upper specification limits under which the ball bearings can operate are 0.71 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.724 inch and a standard deviation of 0.003 inch. Complete parts (a) through (e) below. a. What is the probability that a ball bearing is between the target and the actual mean? (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? (Round to four decimal places as needed.) d. What is the probability that a ball bearing is below the lower specification limit? (Round to four decimal places as needed.) e. Of all the ball…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 3500lb, 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 3500lb? The…
- Answer A through EUse 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.The ASA softball association is interested in knowing the average pitching speed of a 12U fastpitch softball pitcher. A random sample of forty pitches is recorded. The average speed of the pitch is found to be forty-one mph with standard deviation two mph. a. What is the parameter of interest? b. What is the point estimate you would calculate to estimate the parameter? What is its value?
- A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 182 lb and a standard deviation of 38 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 Ib, 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 175 lb, which is the…Assume the cholesterol levels of an adult can be described by a Normal model with a mean of 183 mg/dL and a standard deviation of 27. Complete parts a through e. b) What percent of adults do you expect to have cholesterol levels over 190 mg/dL? enter your response here % (Round to two decimal places as needed.) Part 3 c) What percent of adults do you expect to have cholesterol levels between 150 and 160 mg/dL? enter your response here % (Round to two decimal places as needed.) Part 4 d) Estimate the interquartile range of cholesterol levels. IQR=enter your response here mg/dL (Round to the nearest integer as needed.) Part 5 e) Above what value are the highest 15% of adults' cholesterol levels? enter your response here mg/dL (Round to the nearest integer as needed.)An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.71 inch. The lower and upper specification limits under which the ball bearings can operate are 0.69 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.713 inch and a standard deviation of 0.004 inch. Complete parts (a) through (e) below. a. What is the probability that a ball bearing is between the target and the actual mean? 0.2734 (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? 0.2266 (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? 0 (Round to four decimal places as needed.) d. What is the probability that a ball bearing is below the lower specification limit? (Round to four decimal places as needed.)