For samples of the specified size from the population described, find the mean and standard deviation of the sample meanx. The National Weather Service keeps records of snowfall in mountain ranges. Records indicate that in a certain range, the annual snowfall has a mean of 83 inches and a standard deviation of 14 inches. Suppose the snowfalls are sampled during randomly picked years. For samples of size 49, determine the mean and standard deviation of x A) μ-83; x = 2 B) μ = 2; σ= 83 C)=83; = 14 D) μ= 14; 0x=83

For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates is x = 78.0 beats per minute, and their standard deviation is s = 13.1 beats per minute. %3D a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.)

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 38beats per​ minute, the mean of the listed pulse rates is x =73.0 beats per​ minute, and their standard deviation is sequals=23.2 beats per minute.   a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 38 beats per minute​ significant?

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 37 beats per​minute, the mean of the listed pulse rates is x=77.0 beats per​ minute, and their standard deviation is s=24.8 beats per minute.   a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 37 beats per minute​ significant?

Assume that the distribution of scores on a college entrance exam is normally distributed with a mean of 490 and a standard deviation of 43. For each score in the table below, convert the raw score into a corresponding z-score. original score Z-score 621 398 586 710