A random sample of 100 high school seniors from a certain regionhad amean reading score of 72. National norms of readingproficiency for high school seniors show a distribution of scores witha mean of 75 and a standard deviation of 16.Is it reasonable to consider that the 100 scores obtained fromthat regionfrompopulation that followscameaadistribution similar to that of the national norm?How likely it is to find a mean reading score of 72 or less for asample of size 100 coming from a population with mean score75 and standard deviation 16?

Answered: Image /qna-images/answer/3dfb0ea0-7046-46c4-9201-5a99b22b83c2.jpg

Answered: Is it reasonable to consider that the…

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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Suppose the mean height of women age 20 years or older in a certain country is 62.2 inches. One hundred randomly selected women in a certain city had a mean height of 61.7 inches. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national mean? Assume that the population standard deviation of the heights of women in the city is 3.9 inches. Set up the hypotheses for the one-mean z-test. H0: μ (≠, >, <, =) ________ppmHa: μ (≠, >, <, =) _________ppm Compute the value of the test statistic.z=__________(Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical value is zα=____________ B. The critical values are ±zα/2=±____________ C. The critical value is −zα=___________
Assume that military aircraft use ejection seats designed for men weighing between 140.6 lb and 210 lb. If women's weights are normally distributed with a mean of 164.7 lb and a standard deviation of 42.7 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications?
Assume that military aircraft use ejection seats designed for men weighing between 132.9 lb and 215 lb. If women's weights are normally distributed with a mean of 171.5 lb and a standard deviation of 48.4 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications?
The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and 16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15. Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for all students enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students currently enrolled in at least one program for gifted and talented children. The test scores for this sample are as follows: 117,142,112,99,107,109,109,121,121,125,116,123,110,105,110,111,95,128,103,106, 155,98,100,123,107,137,115,127,102,106,121,113,109,128,103,105,130,134,112,102 Click to download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Use this data to calculate the mean WISC score, x¯, for these 40 students. Next, compute the…
Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?
Assume that military aircraft use ejection seats designed for men weighing between 141.5 lb and 201 lb. If women's weights are normally distributed with a mean of 160.6 lb and a standard deviation of 48.7 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications?
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 55 months and a standard deviation of 8 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 31 and 47 months?
Suppose that the operating time in hours from a fully charged iPhone 8 has a mean of 7 hours and standard deviation 0.8 hours. Note that the median talk time is 4.7 hours. what is the percentage that the sample mean talk time hours from a random sample of 35 iPhones will be at least 6 hours? Hint: find P( ≥ 6) What is the mean talk time such that 90% of all sample means of size 35 will be less? Find using the backwards method.
1) A half-century ago, the mean height of women in a particular country in their 20s was 63.7 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.31 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 26 of today's women in their 20s have mean heights of at least 65.04 inches?

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