a. How many standard deviations away from the mean is a beetle with mandible length of .44 mm? b. What is the probability of selecting a beetle from the population at random, and getting one with a mandible length of .35 mm or less? c. What proportion of the population will have mandible lengths of .48 mm or greater? d. If you have a population of 5000 beetles, how many of them would have mandible lengths of .48 mm or greater?

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and standard deviation of 1.1 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) What is the probability of spending less than 8 days in recovery? %b) What is the probability of spending more than 5 days in recovery? %c) What is the probability of spending between 5 days and 8 days in recovery? %

A population has a mean of 50, and the standard deviation is 10. You take several samples and calculate sample means. 95% of these sample means lie between 46 and 54. What was the size of each sample? n= 1) 5 2) 4 3) 10 4) 25

Assume that in a given year the mean mathematics SAT score was 495, and the standard deviation 111. A sample of 61 score is chosen. ANSWER ALL QUESTIONS PLEASE SHOW WORK A.What is the probability that same mean score is less than 484? B. The probability that the sample mean score is between 460 and 500 is? C. The 10th percentile of the sample mean is D. Would it be unusual if the sample mean were greater than 520? And what is the probability? E. Do you think it would be unusual for an individual to get a score greater than 520? What is the probability

Suppose a random sample of n = 350 teenagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 280 stated that they do use social media. Find the sample proportion of teenagers 13 to 17 years of age who use social media. The sample proportion is p= (Round to three decimal places as needed.) ...

The average price of a college math textbook is $165 and the standard deviation is $25. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. For the group of 10, find the probability that the average price is between $162 and $170. c. Find the third quartile for the average textbook price for this sample size. $ the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O No Yes (round to

Imagine the mean women’s foot size is a 7.5 with standard deviations of 1.5. a. What percentage of women have a foot size larger than 10? b. If you select 30 people at random is it likely that any of them will have a foot size larger than 10? If so, how many?

If the standard error for a sample of size 50 is ?=135.21s then the standard error for the mean ?s which of the following:   2.70 135.21 19.12 67.36