thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places. (-1.75)3.The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. What are the values of the mean and standard deviation after all test scores have been standardized by converting them to z-scores using z=(x-u)/o? (The mean is 0 and the standard deviation is 1.)4.If z is a standard normal variable, find the probability P(−0.73ln<zl<2.27). Round to four decimal places.
5.In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the September energy consumption level is between 1100 kWh and 1225 kWh. Round to four decimal places.
6.Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find P81, which separates the bottom 81% from the top 19%. Round to two decimal places.
7.If z is a standard normal variable, find the probability that z lies between −2.41 and 0. Round to four decimal places.
8.If z is a standard normal variable, find P(z>0.97). Round to four decimal places.
9.The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The shaded area is 0.4483. Find the indicated z-score. Round to four decimal places. (
10.An unbiased estimator is a statistic that targets the value of the of the population parameter such that the sampling distribution of the statistic has a ________ equal to the ________ of the corresponding parameter. (mean;mean)