Assume that females have pulse rates that are normally distributed with a mean of μ= 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 81 beats per minute. The probability is (Round to four decimal places as needed.)

Scores for men on the verbal portion of the​ SAT-I test are normally distributed with a mean of 545   and a standard deviation of 112 . If 16 men are randomly​ selected, find the probability that their mean score is at least 590. a. Define the parameter     A. x overbar equals The mean score of 16 randomly selected men   B. x overbar equals The score of a randomly selected man   b. State the mean of x overbar ​: nothing   c. State the standard deviation of x overbar ​: nothing   ​(use 2 decimal​ places)   d. Find the​ z-score: nothing   ​(use 2 decimal​ places)   e. Find the​ probability: nothing   ​(use 4 decimal​ places)

Claim: The mean systolic blood pressure of all healthy adults is less than 122 mm Hg. Sample data: For 277 healthy adults, the mean systolic blood pressure level is 121.89 mm Hg and the standard deviation is 15.88 mm Hg. Complete parts (a) and (b). a. Express the original claim in symbolic form. Let the parameter represent a value with respect to systolic blood pressure of a healthy adult. (Type an integer or a decimal. Do not round.)

Claim: The mean systolic blood pressure of all healthy adults is less than 125 mm Hg. Sample data: For 272 healthy adults, the mean systolic blood pressure level is 123.92 mm Hg and the standard deviation is 15.65 mm Hg. Complete parts (a) and (b). a. Express the original claim in symbolic form. Let the parameter represent a value with respect to systolic blood pressure of a healthy adult. ▼ (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. ▼ ▼ C Ho H₁: (Type integers or decimals. Do not round.)