KThe overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm.a. Find the probability that an individual distance is greater than 209.30 cm.b. Find the probability that the mean for 15 randomly selected distances is greater than 197.80 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.CHILDOA. The normal distribution can be used because the original population has a normal distribution.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 probability is less than 0.5

The population mean is 200 cm The population standard deviation is 8.3 cm We have to find the…

Answered: The overhead reach distances of adult…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to one study, brain weights of men are normally distributed with a mean of 1.10 kg and a standard deviation of 0.12 kg. Use the data to answer parts (a) through (e). Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three men. The mean of the sample mean is µ, kg. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o, = kg. (Round to four decimal places as needed.) Interpret these answers in context. For the brain weights have a normal distribution with a mean of kg and a standard deviation of kg. (Type integers or decimals rounded to four decimal places as needed.) b. Repeat part (a) for samples of size 12. The mean of the sample mean is µ;…
The average price of a gallon of bottled water is $1.58 with a standard deviation of $0.35. If the variable is normally distributed, find the probability that a sample of bottled water bought at 25 stores would have a mean price between $1.50 and $1.60. Express your answer as a decimal to four decimal places. Your Answer: FIVE STAR 115% IN x 9% IN/29.5 cm x 24. om 419 sutput 343/ 4クム X4700=Pout
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 52 ounces and a standard deviation of 11 ounces. Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 30 and 74 ounces? % c) What percentage of the widget weights lie below 63 ? %
The mode and mean of a normal distribution is 45. Then, the median of the distribution is O a. 22.5 O b. 54 O c. 45 O d. 50
Assume that a vending machine dispenses coffee in amounts that vary uniformly between 7.5 and 12.5 ounces per cup. Calculate the mean and variance of the distribution. Select one: O a. 12.5 and 5 O b. 10 and 2.08 c. 10 and 3.8 O d. 12.5 and 2.08
Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.10 to test for a difference between the weights of discarded paper (in pounds) and weights of discarded plastic (in pounds). a. Identify the test statistic. t equals (Round to two decimal places as needed.) b. Identify the P-value. P-value equals (Round to three decimal places as needed.)
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
answer d)
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $227 with a standard deviation of $69. Random samples of size 31 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is nothing.

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