Use technology and a t-test to test the claim about the population mean µ at the given level of significance & using the given sample statistics. Assumethe population is normally distributed.Claim: μ> 74; α = 0.05 Sample statistics: x= 74.9, s = 3.4, n = 25What are the null and alternative hypotheses? Choose the correct answer below.OA. Ho: μ ≥74HA:μ< 74C. Ho: μ≤74HA: H>74B. H₂: μ = 74HA: μ#74D. Ho: μ#74HA: μ = 74 A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normallydistributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. Atx = 0.09, is there enough evidence to support the claim? Use technology.72,73377,50471,71086,67881,20092,078Z=(a) Identify the null hypothesis and alternative hypothesis.A. Ho: μ ≥ 83,000Ha:μ< 83,00092,11193,70294,918D. Ho: μ>83,000H₂:μ≤ 83,000(b) Identify the standardized test statistic.94,55975,99070,45597,28192,99185,099B. Ho: μ=83,000Ha: μ#83,000E. Ho: μ≤ 83,000Ha: μ> 83,00092,72087,94392,45592,97595,64099,02993,89583,86470,54772,82685,38887,528O C. Ho: μ#83,000Ha: μ = 83,000F. Ho: μ>83,000Ha: μ≤83,000(Round the final answer to two places as needed. Round all intermediate values to three places as needed.)86,97991,70470,712

It is given that Sample statistics:x̅ = 74.9, s = 3.4, n = 25, α = 0.05Note: According to…

Answered: Use technology and a t-test to test the…

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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A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 10% significance level. x=25, s=10, n=24, H0: μ=24, Ha: μ>24 The test statistic is t= (round to two decimals as needed)
How do I find the test statistic and P value for this question?
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Male BMI Female BMI μ μ1 μ2 n 41 41 x 28.3981 26.4624 s 7.246507 5.820596 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1≥μ2 H1: μ1<μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1>μ2 The test statistic, t, is ______.(Round to two decimal places as needed.) The P-value is _____.(Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject the null…
Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each part, the distribution shape of the variable under consideration is given. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. a. Triangular b. Symmetric bimodal c. Left skewed
If the test requires that the results be statistically significant at a level of α = 0.05, fill in the blanks and complete the sentences that explain the test decision and conclusion. The decision is to reject the null hypothesis. There is enough evidence at a significance level of a = 0.05 that the mean weight for U.S. women of age 40-49 who smoke daily is less than 169.976 pounds.
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Treatment Placebo μ μ1 μ2 n 27 39 x 2.38 2.65 s 0.87 0.61 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1<μ2 H1: μ1≥μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Your answer is correct. The test statistic, t, is (Round to two decimal places as needed.)
. A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 3.12 s = 0.59 n = 9 α = 0.01 H0: µ = 2.85 H1: µ > 2.85 The test statistics is (Round to three decimal places)
You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α 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 first population mean is not equal to the second population mean. There is not sufficient…
The local labor market for the XYZ Company is 75% white. The HR Manager for the XYZ Company wants to see whether her company is significantly more or less white than the local labor market. What statistical test should she use to analyze the data? a. Factorial ANOVA b. Chi Square Goodness of Fit Test c. Repeated Measures ANOVA d. Independent Samples t-test e. One sample t-test
You wish to test the following claim (Ha) at a significance level of a = 0.01. H₂:μ₁ = μ₂ Ha:μι > με You obtain the following two samples of data. Sample #1 Sample #2 60 50.1 91.5 89.8 56 44.8 85.6 93.4 58.4 83.8 106.9 73.9 44.8 78.1 70.8 37.7 63.5 82.7 71.7 34.7 90.6 67.7 66.8 61.6 65 65.9 77.6 61.1 111.7 106.9 51.8 88.3 69 80.5 78.1 62.6 99.7 64.5 67.2 52.6 71.2 75.3 76.2 96.8 70.8 49.2 46.1 111.7 51.8 The p-value is... mlm What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 66.2 63.3 60 63.1 61.3 75 62.3 63.3 69.4 57.9 71.2 68.4 74.7 70.6 65.1 68.5 75.8 78.4 73.1 58.6 59.1 66 71.5 67.2 67.3 69 70.9 68.9 73.1 64.4 66.9 71.2 65.6 68.7 60.7 65.3 76.3 74.7 70.1 65.6 59.6 68.2 67.2 69.7 68.9 65.4 66.2 65.6 65.1 62.5 0.7 60.4 68.9 76.8 65.6 76.3 64.7 55.6 71.7 69.7 64.2 72.9 What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to…
What is the standardized test statistic t for a sample with n = 12, xbar = 30.2, s = 2.2, and α = 0.01 if H0: µ =29? Round your answer to the nearest thousandth.
When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds and the standard deviation was 4.9 pounds. Use a 0.01 significance level to test the claim that the mean weight loss is greater than zero. D. Calculate the P-value E. State your decision about the hypotheses F Write a final, concluding statement that addresses the claim: There is _______________ Evidence to _________________ the claim that the mean weight loss is greater than 0 punds.

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