4. According to a 2019 Federal Reserve report, 54% of U.S. young adults who went to college took on some debt for their education. Suppose we take a random sample of 400 U.S. young adults who went to college and took on some debt, a) Find the mean and standard of the sampling distribution of p (Round the mean to 2 decimal places and og to 4 decimal places). mean = Hp = standard deviation of the sample proportion, og = b) Determine the probability that more than 60% of the persons in the sample took on some debt. (show all work, round z score to 2 decimal places and probability to 4 decimal places)

1. Among American women aged 20 to 29 years, 10% are less than 60.8 inches tall, 80% are between 60.8 and 67.6 inches tall, and 10% are more than 67.6 inches tall. Assuming that the height distribution can adequately be approximated by a normal curve, find the mean and standard deviation of the distribution.

A different I/O psychologist wants to know if there is a difference in worker evaluations depending if the employee is a male or female.  A group of managers were recruited and each rated both 15 men and 15 women employee evaluations on a scale of 0-10.  The ratings on the worker evaluations were recorded for each manager.  Which statistical test would be best to determine if there is a significant difference between groups?     one-sample t-test     dependent samples t-test           ANOVA

Suppose that in 2020 the average song length is 245 seconds, with a standard deviation of 28 seconds. what is the approximate standard error for the sampling distribution of mean song lengths due samples size of 64 A. 28.0 B. 2.3 C. 7.0 d. 3.5