The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm. a. Find the probability that an individual distance is greater than 207.50 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 193.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.)

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 209.30 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 198.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is- (Round to four decimal places as needed.)

The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.

Given a Normal Distribution with standard error of 8 from a population with a mean of 120 and a standard deviation of 48, then find the sample size (i.e. how many people or items were sampled from the population?).

The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 206.80 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 195.30 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. Choose the correct answer below. O A. The normal distribution can be used because the probability is less than 0.5 O B. The normal distribution can be used because the mean is large. Oc. The normal distribution can be used because the finite population correction factor is small. O D. The normal distribution can be used because the original population has a normal distribution.

A population has a normal distribution with a mean of 32.9 and a standard deviation of 35.2. Draw 4. a normal curve with labels, shading, and what you entered into the calculator for full credit. Round your answer to 4 decimal places. Find the probability that a randomly selected item is between 27.5 and 40.6 a) Find the probability that a sample size of 25 is randomly selected and is less than 28.2. b)

The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 208.40 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 192.80 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.