Calculate the value of the unpooled test statistic t in each of the following situations. In each case, assume the null hypothesis is Ho: H, - u,= 0. (Round your answers to two decimalplaces.)(a) x, = 39, s, = 9, n181; x2 = 35, s2 = 8, n2= 64t =(b) The difference in sample means is 49, s.e.(x, - x,) = 29.t =

Answered: Calculate the value of the unpooled…

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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Suppose are running a study/poll about the proportion of women over 40 who regularly have mammograms. You randomly sample 117 people and find that 92 of them match the condition you are testing.Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.83Ha:p<0.83Calculate the test statistic, rounded to 3 decimal places z=z=
You wish to test the following claim (Ha) at a significance level of a 0.01. Ho:H1 = 42 Ha:H1 > H2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1 = 25 with a mean of M1 = 52.5 and a standard deviation of SD, = 9.1 from the first population. You obtain a sample of size n2 = 18 with a mean of M2 = 48.7 and a standard deviation of SD2 = 5.2 from the second population. 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? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (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…
In 1991, a person was working as an engineer at a paper company when they were laid off in round 2 of several rounds of layoffs by the company. This person sued the company for age discrimination. The engineer claimed that the laid off workers were older than others. The age of randomly selected 10 workers who were laid off and not lay off in round 2 are given below. Test the engineer's claim at 10% level of significance. Note that the data for two samples are in different column. Click this button to reveal the data No 25 33 35 38 48 55 56 Yes 55 55 64 Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save it as a Excel Workbook. Uknown Download CSV file a. What is the response variable that is being compared in this study? Age OF b. How many samples of data are being compared in this study? 2 c. Are the samples random and independent? O Yes No e. What type of test is this? Two-side ✓ d. What test is used for this problem? Wilcoxon…
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Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
You wish to test the following claim (Hå) at a significance level of a Ho: P₁ = P2 Ha: P₁ P2 0.005. You obtain 10.2% successes in a sample of size ni 518 from the first population. You obtain 15.2% successes in a sample of size n₂ 269 from the second population. Round values for X to the nearest whole number. What is the test statistic for this sample? (Round to three decimal places.) test statistic = What is the p-value for this sample? (Round to four decimal places.) p-value =
The average dues paid by students at state universities across the country were $2236 per student last year. The average for a random sample of 500 students this year is $2350. Given the following hypotheses, Ho: 4 = 2236 (The average fees are the same as last year.) Ha: M + 2236 (The average fees are not the same as last year.) compute the p-value for the sample result. Assume the population standard deviation is $724. If the significance level is 5%, can the null hypothesis be rejected?
#15).
(e) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, will the researcher reject the null hypothesis? Yes O No
A survey claims that 8 out of 10 Filipino nurses use soap "clean" for handwashing. To verify this claim, a random sample of 100 Filipino nurses is obtained. Out of these 100 nurses, 58 said that they use soap X for handwashing. Test if the claim is accurate. The level of significance is set at 0.05. Ho: The proportion Filipino n v What are the appropriate null and alternative hypotheses for this problem? ( Select ) v What is the appropriate test statistic to be used for this problem? a. z=(p-P)/V(PQ/n) b. t=(7-u)/(s/Vn) C. z=-u)/(a/Vn) d. 7tt s/Vn ( Select ) What is the critical region? ( Select ) If the computed test statistics is -8.5, what is the appropriate conclusion for this problem?
Consider the following hypothesis test. Ho: H1 - H2 = 0 Ha: H1 - 42 # 0 The following results are from independent samples taken from two populations assuming the variances are unequal. Sample 1 Sample 2 n1 35 = 40 = 13.6 X, = 10.1 S1 5.8 S2 = 8.1 (a) What is the value of the test statistic? (Use x, - x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) At a = 0.05, what is your conclusion? Do not Reject Ho: There is sufficient evidence to conclude that u, - µ, ± 0. Reject Ho. There is sufficient evidence to conclude that µ, - µ, # 0. Do not Reject Ho. There is insufficient evidence to conclude that u, - H, + 0. 0' Reject Ho. There is insufficient evidence to conclude that u1 - µ2 ± 0.
Suppose that you're running the following hypothesis test with a = 0.05 : H,:u= 2.00 H:u#2.00 a. If the population standard deviation is assumed to be 1.5, and a SRS of 25 observations yielded X = 2.57, then calculate the value of the test statistic that you would use to run this test. b. Determine the P-Value for the test statistic in part (a). c. Using the P-Value you calculated in part (b) state the Decision that you make about the null hypothesis. JUSTIFY YOUR DECISION.

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