The 2015 general Social Survey asked a large number ofpeople how much time they spent watching TV each day. Themean number of hours was 4.2 with a standard deviation of2.8. Assume that in a sample of 39 teenagers, the samplestandard deviation of daily TV time is 2.8 hours, and that thepopulation of TV watching times is normally distributed.Under 10% significance level can you conclude that thepopulation standard deviation of TV watching times forteenagers is less than 2.8?Procedure:Select an answerAssumptions: (select everything that applies)Simple random samplePopulation standard deviation is unknownO Sample size is greater than 30Normal populationPopulation standard deviation is knownThe number of positive and negative responses areboth greater than 10

Solution: Given information: n= 39 Sample size s = 2.8 Sample standard deviationμ= 4.2 Population…

Answered: The 2015 general Social Survey asked a…

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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The average waiting time in a doctor’s office varies. The standard deviation of waiting times in a doctor’s office is 3.4 minutes. A random sample of 30 patients in the doctor’s office has a standard deviation of waiting times of 4.1 minutes. One doctor believes the variance of waiting times is greater than originally thought.a. What type of test should be used?b. What is the test statistic?c. What is the p-value?d. What can you conclude at the 5% significance level?
A test was administered for a group of 400 students and scores were obtained. The scores are approximately normally distributed with a mean of 65 and standard deviation of 4.5. What are the scores within which approximately 95% of the total test scores fall?
Average adult Americans are about one inch taller but nearly a whopping 25 pounds heavier than they were in 1960, according to a report from the Centers for Disease Control and Prevention (CDC). City A is considered one of America's healthiest cities. Is the weight gain since 1960 similar in city A? A sample of n=25 adults suggested a mean increase of 22 pounds with a standard deviation of 9.4 pounds. Is City A significantly different in terms of weight gain since 1960? Complete and interpret 5 step hypothesis testing by hand at a 5% level of significance using a Z-test. Show each step and your work.
Consider a data set that has a mean of 82.7 and a standard deviation of 14.1. According to Chebyshev's Theorem, give an interval that has at least 91.14% of the data.
Entrance exam scores at Cititon University are normally distributed with a mean of 552 and a standard deviation of 29. If scholarships are awarded to the top 10% of scores, what is the minimum score needed to guarantee a scholarship?
6.10 Males 20 to 29 years old have a mean height of 69.4 inches with a standard deviation of 3.5 inches. Females 20 to 29 years old have a mean height of 64.1 inches with a standard deviation of 3.1 inches. Find the standardized variable for the heights of males. Find the standardized variable for the heights of females. For a 68‐inch‐tall person, find the value of the standardized variable for males. For a 68‐inch‐tall person, find the value of the standardized variable for females. Compare your answer with part (c) and comment.
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.
It is believed that nearsightedness affects 14% of children in a certain region. A school district tests the vision of 180 incoming kindergarten children. How many would be expected to be nearsighted? What is the standard deviation for the number of nearsighted children in such a group? You may assume that the children are independent of each other. The mean is? and the standard deviation is?
A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.
Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 19.7 hours with a standard deviation of 9.4 hours. He measured the length of time his wife's cell phone battery lasted on twelve different occasions and calculated a mean of 18.9 hours with a standard deviation of 5.3 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 1 of 2: Construct a 90 % confidence interval for the true difference in mean battery life between Steve's cell phone and his wife's. Round the endpoints of the interval to one decimal place, if necessary.
The 2013 general Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 3.7 with a standard deviation of 2.5. Assume that in a sample of 57 teenagers, the sample standard deviation of daily TV time is 2.2 hours, and that the population of TV watching times is normally distributed. Under 1% significance level can you conclude that the population standard deviation of TV watching times for teenagers is different from 2.5? Procedure: One variance x² Hypothesis Test v Assumptions: (select everything that applies) ✔Population standard deviation is unknown ✔Simple random sample Normal population Sample size is greater than 30 0° The number of positive and negative responses are both greater than 10 Population standard deviation is known Step 1. Hypotheses Set-Up: Ho: Select an answer Ha: Select an answer ✓ ? V Step 2. The significance level a = OT % where? is the Select an answer ? " Part 2 of 5 and the units are and the test…

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