Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 160 adult males, the mean pulse rate is 67.7 bpm and the standard deviation is 10.6 bpm. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.)

The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches

A distance is measured six times. The observed values are 572.182 m, 572.140 m, 572.103 m, 572.160 m, 572.125 m, and 572.155 m. All measurements are uncorrelated and their standard deviations are 0.030 m, 0.030 m, 0.030 m, 0.020 m, 0.020 m, and 0.010 m, respectively. Find the least squares estimate for the distance. Use matrices and R in the solution. Write the R commands involved.

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

A standardized test has a mean of 88 and a standard deviation of 12. What is the score at the 90th percentile? a. 103.36 O b. 112.00 O c. 91.00 O d. 90.00

Levels of a certain enzyme in the blood have a mean value of 34.0 mg/mL and a standard deviation of 3.5 mg/mL.  Complete the following steps to determine what levels of the enzyme correspond to the top 20% of test results.   Are you calculating the top or bottom 20%? Answer So, which percentage needs to be converted to an area? Answer What is the area that you will look for in the table (four decimal places)? Answer What area will you actually use from the table (four decimal places)? Answer What is the z-score associated with that area (two decimal places)? Answer What is the cutoff level of the enzyme that corresponds to the top 20% of test results? (round to the nearest tenths)   Answer Are values lower or higher than that value also in the top 20%? Answer

The average driver spends $39 at the gas station each week with a standard deviation of $11. Assuming that the amount a driver spends on gas follows a normal distribution; find the percentage of drivers who spend: 1. More than $67? 2. Less than $25? 3. Between $25 and $67