Use the megastat output given below to answer the question: The days outstanding on accounts receivable is a normally distribution with a mean of 37 days and a standard deviation of 12 days. A random sample of 18 was taken for the study. a. Calculate the probability that the sample has mean outstanding time more than 45 days b. Calculate the probability that the sample has mean outstanding time between 35 and 45 days from the megastat output.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 243 feet and a standard deviation of 55 feet.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) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? PP(more than 216 feet) = %

The average heart rate for adults is 72 bpm with a standard deviation of 6bpm. The distribution of heart rates is Normal.  a. What is the probability that a randomly selected heart rate is less than 60 bpm? b. What is the probability that a randomly selected heart rate is between 70 and 80 bpm? c. What is the 40th percentile of heart rates?

light examined data on employment and answered questions regarding why workers separate from their employes. According to the article, the standard deviation of the length of time that women with one job are employed during the first 8 years of their career is 92 weeks. Length of time employed during the first 8 years of career is a left skewed variable. For that variable, do the following tasks. A. determine the sampling distribution of the sample mean for simple random samples of 50 women with one job. Explain your reasoning B. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks

2. A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what are the mean and standard deviation?

A population has a mean µ = 70 and a standard deviation o = 28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 261. P = (Simplify your answer.) = (Type an integer or decimal rounded to three decimal places as needed.)

In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and Ha? Ho: µ#37 O A. Ho: μz37 Oc. H3i µ 37 OB. Hai H=37 Hai us37 Ho: H = 37 Ha:µ 37 Ho: µ= 37 Ha: H#37 Find the test statistic. t= -0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p (Type an integer or decimal rounded to three decimal places as needed.)

The WAIS forms a normal distribution with a population mean of 100 and a standard deviation of 15. Calculate or answer the following: a.) The probability of a single person scoring equal to or greater than 120