MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 55.8 Ha:µ > 55.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 72.3 73.7 53.6 74.6 41.9 41.9 39.4 30.5 59.5 68.1 35.6 64.5 53.6 50.7 58.6 76.5 56 47.7 61.3 76.5 65.3 43.2 73 43.8 74.6 63.2 66.4 69 75.5 66.4 47.7 62.2 65.3 49.2 44.4 69 72.3 70.5 69 55.1 64.9 60.7 53.3 66.8 39.4 62.2 50.7 52.3 69 67.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =arrow_forwardYou wish to test the following claim (Ha) at a significance level of a = 0.002. H.:p = 52.9 Ha:u 52.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 29 with mean M = 58.2 and a standard deviation of SD = 12.3. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (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 test statistic leads to a decision to... O reject the null O accept the null O fail to reject the nullarrow_forwardWhat is the mean number of doctor visits for the sample and what is the standard deviation of the data? Answers should be with a precision of TWO digits after the decimal pointarrow_forward
- You wish to test the following claim (Ha) at a significance level of a = 0.05. d denotes the mean of the difference between pre-test and post-test scores. H.: H4 = 0 Ha:Ha > 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: post-test pre-test 43.5 18.7 60.3 123.6 68.2 110.1 79.5 138.5 43.5 15.5 77.8 75.9 82.3 69 51.3 38 56.7 11.3 47.3 56.2 66.4 57 54.3 109.4 46.7 -3.7 73.8 106 63.1 -23.7 70.7 63.9 59.8 69.9 62.1 99.7 49.1 125.5 73.8 67 62.6 19.5 66.7 127.8 • Make sure to choose the appropriate column for Sample 1 and 2 so that you are estimating the improved post-test score: pre-test - post-test, Hz - H1 a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. p-value = c. The p-value is... O less than (or equal to) a greater than a d. This test statistic leads to a decision…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.01 Ho:μ=80.6 Ha:μ≠80.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: 85.8 70.3 77.5 96.5 83.6 92 83.6 75.6 78.8 83.6 102.5 80.7 90.5 89.3 77.2 86.2 86.4 89.3 84.6 75.6 78.6 87.9 95.3 75.6 86 90.8 84.6 95.3 85 84.8 87.6 92.4 79.1 84.8 89 84.6 80.9 91.7 90.3 69.3 69.3 80.5 85.2 82.2 75.3 96.5 89 82 95.8 84 80.5 85.4 94.8 86 98 80 85.2 85.4 86.6 74.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence…arrow_forwardUse the Empirical Rule to answer the questions below:The distribution of weights for newborn babies is approximately normally distributed with a mean of 7.4 pounds and a standard deviation of 0.8 pounds. 4. Approximately 50% of newborn babies weigh more than ____pounds.5. What percent of newborn babies weigh between 6.6 and 9.8 pounds? %arrow_forward
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- You wish to test the following claim (HaHa) at a significance level of α=0.02. Ho:μ=57.3 Ha:μ>57.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 77.7 67 62 51.3 69.1 72.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 57.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 57.3. The sample data support the claim that the population mean…arrow_forwardE Infanticide - an ove.. You wish to test the following claim (H) at a significance level of a 0.10. H.:µ = 77.4 Ha: < 77.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 64.9 82.9 77,7 74.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (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 test statistic leads to a decision to.. O reject the null O accept the null O fail to reject the null Pri P Type here to search 近arrow_forwardYou wish to test the claim μ>53.3μ>53.3 at a significance level of 0.050.05.You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 49.9 46.9 58.6 61.1 60.1 65.9 68.4 57.6 67.8 52.2 61.3 60.3 53.6 71.2 42.9 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 =arrow_forward
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