MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- 2. A data set includes data from student evaluations of courses. The summary statistics arean = 80, �̅= 4.39, s = 2.29. Use a 0.05 significance level to test the claim that the population ofstudent course evaluations has a mean equal to 4.50. (Assume that a simple random sample hasbeen selected.)a. Is this claim about a population proportion or mean?b. What is the null hypothesis, and what is the alternative hypothesis?c. Is the test two-tailed, left-tailed, or right-tailed?d. What is the P-value? (Include a copy of your StatCrunch results.)e. What is the final conclusion?arrow_forwardA two-sample hypothesis test is comparing the averages of the following populations. Population 1 is the salary of female employees and Population 2 is the salary of male employees. A hypothesis test was conducted to see if the average salary of males is greater than the average salary of females. Using the following as the output of the test, state the P-value and interpret the results in context to the problem. Use a significance level of 5% Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Females Males 65,852.00 89,562.00 1,003.00 1,025.00 45 30 0 37 -1.26 0.1200 1.3300 0.2400 1.2800 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt EEVA V Tx XQ5 二 三 ||||| WORDS POWERED BY TINYarrow_forward0. A high school principal claims that the variance in the GPA of students in the graduating class is Tess than 0.39. You test this claim by sampling 31 seniors and find their GPA have a variance or 0.21. Ho:o? Ha:o2 < 0.39 (Claim) = 0.39 Is there enough evidence to reject Ho and support the principal's claim at a 0.10 level of significance? ohs A. No, the test statistic x? B. No, the test statistic x2 = 16.154 is not in the rejection region with critical value 40.256 C. Yes, the test statistic x? D. No, the test statistic x2 = 21.434 is not in the rejection region with critical value 20.599 E. Yes, the test statistic x? = 16.154 is in the rejection region with critical value 20.599 = 20.599 is not in the rejection region with critical value 21.434 %3D 20.599 is in the rejection region with critical value 16.154 %Darrow_forward
- The null and alternative hypotheses are: Pl : ºH H1 : Ha 70 = 0 The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the Ontario Provincial Police (OPP) for the last five months: Day August Мay June July September Officer Dhondt 34 24 26 17 29 Officer Meredith 24 18 23 31 20 At the 0.01 significance level, is there a difference in the mean number of citations given by the two officers? a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.) Reject Ho if t b. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign.Round the final answer to 3 decimal places.) Value of the test statistic c. What is your decision regarding Ho? Do not reject Но- d. Determine the p-value. (Round the final answer to 4 decimal places.) The p-value is between 0 and 0.001arrow_forwardYou wish to test the following claim (H) at a significance level of a = 0.005. For the context of this problem, Hd = H2 - H1 where the first data set represents a pre-test and the second data set represents a post-test. H.: Ha = 0 H.: Ha + 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = difference (post - pre) is d 15 subjects. The average = 32.6 witha standard deviation of the differences of 31.6. || What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null accept the null O fail to reject the nullarrow_forwardYou wish to test the following claim (H) at a significance level of a = 0.05. For the context of this problem, d = 2-1 where the first data set represents a pre-test and the second data set represents a post-test. Ho: Pd = 0 Ha: d < 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 301 subjects. The average difference (post-pre) is d = 2.4 with a standard deviation of the differences of sa = 22.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = L What is the P-value for this test? (Report answer accurate to four decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This P-value leads to a decision to... O reject the null O accept the null O fail to reject the nullarrow_forward
- Suppose the following data show the percentage of 17- to 24-year-olds who are attending college in several metropolitan statistical areas in four geographic regions of the United States. Northeast Midwest South West 28.4 37.0 60.2 16.6 39.2 32.9 37.0 34.3 32.2 22.4 28.3 22.8 46.4 44.5 40.3 12.5 32.9 31.9 33.4 42.9 15.6 57.5 19.5 26.1 36.4 31.6 29.6 57.8 35.5 64.8 67.2 13.5 37.7 28.1 31.9 36.6 59.1 55.2 29.4 28.6 61.3 78.4 39.8 17.8 41.5 29.6 32.7 74.3 30.1 53.0 36.7 23.3 51.1 28.4 34.2 25.0 59.9 25.0 29.4 59.0 53.5 27.2 20.4 30.6 32.2 29.4 42.4 23.0 25.3 70.8 33.9 73.1 23.2 33.1 36.3 31.0 36.7 28.5 31.2 34.3arrow_forwarda) Determine the standard deviation (s) of sunflower heights in the test plot which wasnot fertilized and the Pseudo-Standard deviation (PSD) of sunflower heights in the test plotwhich was fertilized. b) Consider the following three statements A.If the median of X is greater than the mean of X than the distribution of X ispositively skewed. B.For Normal populations the median and the mean are approximately equal. C.The median and the Inter-quartile range are measures of variability in apopulation. c) Consider the following three statements A.The correlation between two positive quantities is always positive. B.If the correlation between X and Y is negative than the slope of the regressionline for predicting Y from X is negative. C.Pearsons correlation coefficient is always between -1 and +1. This is notnecessarily true for Spearmans correlation coefficientarrow_forwardIs psychiatric history dependent on where the mother lives (country or city)? The test statistics for this hypothesis test are.... How to run t-test? which variable goes where? I attached images, is that correct and where to get the t statistic and p-value?arrow_forward
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