Suppose we wish to test the hypotheses Ho: u= 10 versus Ha: u<10, where u representsthe mean age of children not in high school who are members of a large gymnastics clubin a metropolitan area. Assume age follows a Normal distribution with o=2. A randomsample of 16 ages is drawn from the population, and we find the sample mean of theseobservations to be x = 8.76. What is the value of the test statistic?A) zB) z=-1.24C) z=-2.48D) z =-9.92=-0.62

Answered: Image /qna-images/answer/9a679831-5332-4516-b04c-d3948fe85e66.jpg

Answered: Suppose we wish to test the hypotheses…

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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Two brands of batteries are tested, and their voltages are compared. The summary statistics follow. For sample 1, the sample size is 27; the population standard deviation is 0.3 volts and the mean is 9.2 volts. For sample 2, the sample size is 30; the population standard deviation is 0.1 volts and the mean is 8.8 volts. Is the mean of sample 1 smaller than the mean of sample 2? Using a significance level of 0.05. a) Identify the claim and state the hypotheses. b) What is the test statistics? Find the critical values (s). c) Make the decision to reject or not reject the null hypothesis and explain why. d) Graph your decision and include all the values. That is, the mean, the standard deviation, the critical value(s), the rejection region. e) Set up the formula with the correct numbers for the 95% confidence interval of the mean number of jobs.
You have been assigned to test the hypothesis that the average mumber of hours per week that an American works is higher than the average number of hours per week that a Swede works. The following data summarizes the sample statistics for the number of hours worked per week for workers in each country. Assume normality is satisfied. Conduct an appropriate hypothesis test using a = significance. 0.05 level of
The mean potassium content of a popular sports drink is listed as 132 mg in a 32-oz bottle. Analysis of 24 bottles indicates a sample mean of 131.2 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content.. a. Ho: μ= 132 mg vs. H₁: b. He: ≤132 mg vs. H₁: c. He: ≥132 mg vs. H₁: Oa Ob Oc (b) Assuming a known standard deviation of 2.1 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) Test statistic 132 mg >132 mg <132 mg (c) At the 2 percent level of significance (a = .02) does the sample contradict the manufacturer's claim? Decision Rule: Reject Ho
I. There are two samples with means 15 and 18. Both of those samples consist of 24 observations. Sample standard deviations are equal to 4 in both cases. If you want to test whether the difference between the mean in the first and the mean in the second population is equal to 0, what is your decision at the .01 level?
In a study of birth order and intelligence, IQ tests were given to 18- and 19-year-old men to estimate the size of the difference, if any, between the mean IQs of firstborn sons and secondborn sons. The following data for 10 firstborn sons and 10 secondborn sons are consistent with the means and standard deviations reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal. Can you conclude that the mean IQ of firstborn sons is greater than the mean IQ of secondborn sons? Let μ1 denote the mean IQ of firstborn sons and μ2 denote the mean IQ of secondborn sons. Use the α = 0.01 level and the P-value method with the table. Firstborn 128 101 128 112 121 105 122 98 106 108 Secondborn 121 125 110 107 114 93 80 94 91 83 Part(a): State the appropriate null and alternate hypotheses. H0: H1: This is a _____…
Identify the IV and the scale of measurement; Identify the DV and the scale of measurement and for the IV – identify the number of levels; Identify null and alternative hypotheses, are they directional or non-directional? Assume that the distributions of the populations are approximately normal.
Women are recommended to consume 1870 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 11 women who participated in the study is shown below: 1799, 1703, 2097, 2112, 1824, 1956, 2072, 2113, 1951, 1872, 2126 Assuming that the distribution is normal, what can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Họ: ?v Select an answer v H: ? vSelect an answer c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... O The data suggest that the population mean calorie intake for women at your college is not significantly more than 1870 at a = 0.01, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is more than 1870. (Please show your…
Do men score lower on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 89 94 88 64 57 58 62 83 82 88 57 78 Female: 81 80 65 66 97 92 70 94 82 90 65 93 Assume both follow a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer ♥ (Please enter a decimal) b. The test statistic ? v = (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are…
A large sample size is needed to show significance in a test of two population standard deviation. O True O False

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