You may need to use the appropriate appendix table or technology to answer this question.Consider the following hypothesis test:Ho:μ ≥ 70H: μ< 70A sample of 36 provides a sample mean of 66 and a sample standard deviation of 6.(a) Determine the standard error of the mean.(b) Compute the value of the test statistic.(c) Determine the p-value; and at a 5% level of significance, test the above hypotheses.Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.Reject Ho. There is sufficient evidence to conclude u is less than 70.O Do not reject Ho. There is sufficient evidence to conclude u is less than 70.O Do not reject Ho. There is insufficient evidence to conclude u is less than 70.O Reject Ho. There is insufficient evidence to conclude u is less than 70.82°FSunnyNeed Help?Read Itf3f4f510f6f74+✓faIAAfgC▷11f10f11f12insertprt scdeletehom

Given Hypothesis Ho,: μ≥70 vs H1: μ<70(left tailed)

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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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You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=64.3Ho:μ=64.3 Ha:μ<64.3Ha:μ<64.3You believe the population is normally distributed and you know the standard deviation is σ=5.2σ=5.2. You obtain a sample mean of M=62.2M=62.2 for a sample of size n=46n=46.What is the test statistic for this sample? (Report answer accurate to two 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 less than 64.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.3. The sample data support the claim that the population…
You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=83.7Ho:μ=83.7 Ha:μ≠83.7Ha:μ≠83.7You believe the population is normally distributed and you know the standard deviation is σ=8.5σ=8.5. You obtain a sample mean of M=82.1M=82.1 for a sample of size n=62n=62.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 =
A magazine reported that at the top 50 business schools in a region, students studied an average of 12.5 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 12.5 hour benchmark. Complete parts (a) through (c) below. Question content area bottom Part 1 a. State the null and alternative hypotheses. Choose the correct answer below. A. H0: α=12.5 H1: β≠12.5 B. H0: α≠12.5 H1: α=12.5 C. H0: α=12.5 H1: α≠12.5 D. H0: μ=12.5 H1: X≠12.5 E. H0: μ≠12.5 H1: X=12.5 F. H0: β≠12.5 H1: β=12.5 G. H0: μ=12.5 H1: μ≠12.5 H. H0: X=12.5 H1: X≠12.5 I. H0: α≠12.5 H1: β=12.5 J. H0: X≠12.5 H1: X=12.5 K. H0: μ≠12.5 H1: μ=12.5 L. H0: β=12.5 H1: β≠
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=57.7Ho:μ=57.7 Ha:μ≠57.7Ha:μ≠57.7You believe the population is normally distributed and you know the standard deviation is σ=10.5σ=10.5. You obtain a sample mean of M=60.2M=60.2 for a sample of size n=18n=18.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 =
I need help with stats, section 7.2 and 7.3, please help with TI-84 calculator commands Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=40; α=0.01; σ=3.17. Sample statistics: x=38.1, n=72 Identify the null and alternative hypotheses. Write out the correct null and alternative hypotheses. Calculate the standardized test statistic: The standardized test statistic is ________________ (round to 2 decimal places as needed) Determin the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (round to 2 decimal places as needed) a. the critical value is ______________ b. the critical values are + _ ___________ Determine the outcome and conclusion of the test. Choose the correct answer below. A. fail to reject Ho. AT the 1% significane level, there is not enough evidence to reject the claim. B. fail to reject Ho. At the 1% significance…
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=77.3Ho:μ=77.3 Ha:μ≠77.3Ha:μ≠77.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=18n=18 with mean M=84M=84 and a standard deviation of SD=10.6SD=10.6.What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=52.8Ho:μ=52.8 Ha:μ<52.8Ha:μ<52.8You 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 68.6 49.4 55.1 46.6 37.3 64.7 53.4 56.9 49.1 42.7 59.3 51.5 44.1 44.8 43.8 46 56.9 64.7 51.8 47.7 53.4 50.5 50.2 37.9 41.6 56.6 58.9 35.2 53.4 56.3 50.7 49.9 61.2 75.9 56 42 65.4 48 56.3 51.8 51 45.4 55.4 54.6 59.6 45.7 71.1 61.2 75.9 53.7 51.5 44.8 56.6 26.1 49.1 32.3 75.9 55.1 53.7 75.9 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…
The U.S. Postal Service (USPS) is faced with the issue of a large portion of mail (letters and packages) that cannot be delivered because of an illegible or non-existent address. USPS would like to find out if there is any evidence that the proportion of undeliverable mail has significantly decreased since last year when it was 6%. Which of the following are the correct null and alternative hypotheses for this test? Select one: a. Ho: p = 0.06 versus Ha:p> 0.06 b. Ho: p 0.06 ge Next page Moodle Accessibility Specification Coastal Carolina University (CCU) does not discriminate on the basis of race, color, religion, sex, sexual orientation, genc national origin, age, genetic information, mental or physical disability, or status as a disabled or Vietnam-era veteran in it programs, activities or employment practices. For more information related to discrimination, please contact Title IX, Titl office phone 843-349-2382: FEN email eenarnastal adur or thel Dent of Education office for…
Use five-step hypothesis testing for each of the following problems. Number each of the five steps. You may use the traditional method or the p-value method. 1) Science fiction novels average 250 pages in length. The average length of 8 randomly chosen novels written by I. M. Wordy was 265 pages in length with a standard deviation of 35. At are Wordy's novels significantly longer than the average science fiction novel? Use five-step hypothesis testing. 2) The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry. Random Sampling of a large cell phone company found the following monthly cell phone charges (in dollars): At the 0.01 level of significance, can it be concluded that the average phone bill has…
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.      Ho:μ=68.1Ho:μ=68.1      Ha:μ<68.1Ha:μ<68.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=81n=81 with mean M=59.2M=59.2 and a standard deviation of SD=20.5SD=20.5.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =Steps on TI-84????What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = steps on TI-84???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 less than 68.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is…
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ?d ≤ 0 Ha: ?d > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.) Element Population Difference 1 2 1 21 19 2 28 28 3 18 17 4 20 18 5 26 26 (b) Compute d. (c) Compute the standard deviation sd. (d) Conduct a hypothesis test using ? = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Reject H0. There is insufficient evidence to conclude that ?d > 0. Reject H0. There is sufficient evidence to conclude that ?d > 0.     Do not Reject H0. There is sufficient evidence to conclude that ?d > 0. Do not reject H0. There is insufficient evidence to conclude that ?d >…
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.      Ho:μ=87.8Ho:μ=87.8      Ha:μ≠87.8Ha:μ≠87.8You believe the population is normally distributed and you know the standard deviation is σ=15.6σ=15.6. You obtain a sample mean of M=83.9M=83.9 for a sample of size n=27n=27.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 not equal to 87.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.8. The sample data support the claim that the…

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