An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean press of 7.4 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 190 engines and the mean pressure was 7.5 pounds/square inch. Assume the standard deviation is known to be 0.9. A level of significance of 0.1 will be used. Determine the decision rule. Enter the decision rule. Tahles Kevna

Please answer a and b

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…

Find the area, square unit, to the nearest thousandth of the standard deviation between the given z-scores. Z equals 1.12 and z equals 1.73.

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.

A manufacturer of bolts has a quality control policy that requires it to destroy any boits that are more than 4 standard deviations from the mean The quality control engineer knows that the bots coming off the assembly line have moan length of 9 cm with a standard deviation of 0.05 cm. For what lengths will a bolt be destroyed? Select the correct choice below and fill in the answer box(es) to complete your choice (Round to one decimal place as needed) OA. A bolt will be destroyed if the length is less than OB A bolt will be destroyed if the length is less than OC. A bolt will be destroyed if the length is greater than cm. cm or greater than cm D. A bolt will be destroyed if the length is between cm and e cm cm CHC

Compute the range and sample standard deviation for strength of the concrete​ (in psi). 3910​, 4090​, 3500​, 3100​, 2940​, 3830​, 4090​, 4040

Use the Weibull distribution to model ocean wave heights. Assume that the mean wave height at the observation station is 2.5 meters and the shape parameter equals 2. Determine the standard deviation of wave height.

The average hourly wage for a certified dental assistant is $17.37 per hour, with a standard deviation of $1.86. Using this information and the Range Rule of Thumb, determine the minimum and maximum "typical" hourly wages for certified dental assistants.   Minimum:   Maximum: