Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 172 adult males, the mean pulse rate is 70.1 bpm and the standard deviation is 11.4 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

Solve the problem. Round to the nearest tenth unless indicated otherwise.A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find P80, the score which separates the lower 80% from the top 20%.

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.

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