Heavy children: Are children heavier now than they were in the past? TheNational Health and Nutrition Examination Survey (NHANES) taken between 1999and 2002 reported that the mean weight of six-year-old girls in the United Stateswas 49.3 pounds. Another NHANES survey, published in 2008, reported that a sampleof 192 six-year-old girls weighed between 2003 and 2006 had an average weight of 47pounds. Assume the population standard deviation is 6=14.2 pounds. Can youconclude that the mean weight of six-year-old girls is lower in 2006 than in 2002?Use the α=0.05 level of significance and the P-value method with the TI-84 calculator.Part 1 of 4State the appropriate null and alternate hypotheses.Ho: μ = 49.3H: μ < 49.3The hypothesis test is a left-tailedPart: 1/4Part 2 of 4ComputeP-value=test.P-value. Round your answer to at least four decimal places.X

Let μ and σ denote respectively the population mean and standard deviation of weight of six-year-old…

Answered: Heavy children: Are children heavier…

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 the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0.7, 1.8, 1, 0.6, 3, 0.9, 0.9, 1, 3.2, 1.5, 0.1, 0.1, 3.2 What can be concluded at the αα = 0.10 level of significance? The test statistic = ___________ (please show your answer to 3 decimal places.) The p-value = ____________ (Please show your answer to 4 decimal places.)
In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a number of high outliers, mainly hybrid gas-electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1146 vehicles is approximately Normal with mean 23.0 miles per gallon (mpg) and standard deviation 4.9 mpg. Exercises 3.35 through 3.38 concern this distribution 3.37: The middle half. The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. They span the middle half of the distribution. What are the quartiles of the distribution of gas mileage?
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 7.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 6.1, 8.1, 9.1, 10.1, 7.1, 11.1, and 12.1 pounds. What is the sample standard deviation?
The mean annual incomes of certified welders are normally distributed with the mean of $50,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. A study conducted using 100 certified welders showed that their annual income is $50,250 with a sample standard deviation of $1050. What is the test statistic for this test? a. 2.381 b. 1.673 c. 1.367 d. 2.869
According to a government study among adults in the 25 to 34-year age group, the mean amount spent per year on reading and entertainment is $1,994. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $350. a. What percent of the adults spend more than $2,500 per year on reading and entertainment? b. What percent spend between $2,500 and $2,800 per year on reading and entertainment?
High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2550. Assume the standard deviation is $485. A real estate firm samples 85 apartments. Use Excel.
the mean charge for satellite television for a sample of households was $87.50 per month, with a standard deviation of $14.50 per month. Estimate the percent of satellite television charges between $73.00 and $102.00
light examined data on employment and answered questions regarding why workers separate from their employes. According to the article, the standard deviation of the length of time that women with one job are employed during the first 8 years of their career is 92 weeks. Length of time employed during the first 8 years of career is a left skewed variable. For that variable, do the following tasks. A. determine the sampling distribution of the sample mean for simple random samples of 50 women with one job. Explain your reasoning B. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks
Based on the data below, answer the following question: What is the mean of Local Tuition (keep 1 decimal place)? What is the mean of Foreign Tuition? (Keep 1 decimal place.) What is the sample standard deviations of the variable Local Tuition? Business School Full-Time Enrollment Students per Faculty Local Tuition ($) Foreign Tuitiion ($) English Test Work Experience Starting Salary ($) 1 Melbourne Business School 200 5 24,420 29,600 No Yes 71,400 2 University of New South Wales (Sydney) 228 4 19,993 32,582 No Yes 65,200 3 Indian Institute of Management (Ahmedabad) 392 5 4,300 4,300 No No 7,100 4 Chinese University of Hong Kong 90 5 11,140 11,140 No No 31,000 5 International University of Japan (Niigata) 126 4 33,060 33,060 Yes No 87,000 6 Asian Institute of Management (Manila) 389 5 7,562 9,000 No Yes 22,800 7 Indian Institute of Management (Bangalore) 380 5 3,935 16,000 No No 7,500 8 National University of Singapore 147 6 6,146 7,170 Yes Yes 43,300 9…
The average credit card debt for a recent year was $8,776. Five years earlier the average credit card debt was $8,189. Assume sample sizes of 32 were used and the population standard deviations of both samples were $690. Is there evidence to conclude that the average credit card debt has increased?
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ = > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to…
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance? A. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per…

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