The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 218.40 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 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 205 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 218.40 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 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.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The distribution is used when the population distribution is normal and Select one: O a. Both a and b are correct. O b. When the sample size is more than 30. O c. When sample size is less than 30 and the population standard deviation is not known. O d. The population standard deviation is also known.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 265 feet and a standard deviation of 42 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X N b. Find the probability that a randomly hit fly ball travels less than 260 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 7.8 cm. work a. Find the probability that an individual distance is greater than 207.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm. pm c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? am a. The probability is. (Round to four decimal places as needed.) nts o quest 2021) is nt © 202 Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All Check 15 近
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 270 feet and a standard deviation of 42 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X N( b. Find the probability that a randomly hit fly ball travels less than 302 feet. Round to 4 decímal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
In the past Algebra classes, records show that the average score of the students in mid-term exam was computed to be equal to 83.5 with a standard deviation of 4.82. If there are 50 students in a particular class, then assuming normality of the distribution, how many of the students are expected to have a mid-term score of 1. a) above 83.5? b) below 70? c) above 90? d) between 75 -85?
3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
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.
A normal distribution has a Mean of 25 and a S.D. of 10. Find the probability that the deviation from the Mean of an item taken at random will have a negative value.
What is the mean and standard deviation of the sampling distribution of X¯X¯ for n = 16, if the sampled population has a mean of 48 and a standard deviation of 12? Select one: a. 4 and 1 b. 12 and 3 c. 48 and 3 d. 48 and 1 e. 48 and 12
please answer d. e. and f.
answer d)
Next question The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 212.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 200.30 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. OA. The normal distribution can be used because the probability is less than 0.5 OB. 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. H a Type here esc ? 12 a * # 3 101 $ 4 ts % 5 X 16 40 a # hp &…