Perform the test of hypothesis indicated, at 0.10 level of significance, using the data from independent samples shown.Ho : µi – µ230, ã112, ã2 = 60, s215 versus Hı : µ1 – l2 < –1542, s1n1n2Note that in the context of testing hypotheses concerning two population means, "small samples" means that at least one sample issmall. In particular, even if one sample is of size 30 or more, if the other is of size less than 30, then a "small samples" scenarioapplies.The value of the test statistic is(Write your answer precise to two decimal places, e.g., -2.46, 1.83.)The hypothesis test is a one-tailed (left-tailed) test.The critical region is bounded by the critical valueThe outcome from the test is tothe null hypothesis. (Write "reject" or "not reject".)

There are two methods used to make conclusion about the test statistics. They are p value approach…

Answered: Perform the test of hypothesis…

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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Dr. Ryan Gosling is conducting the following hypothesis test at the 5% significance level using a sample size ofn = 9 observations: HO: µ = 83 vs. Ha: µ 1.860 O z 1.833
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ = 30; x = 0.04; a=3.13. Sample statistics: x= 28.9, n = 75 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: 30 Calculate the standardized test statistic. The standardized test statistic is - 3.04 (Round to two decimal places as needed.) D. Ho: H=30 H₂:30 OF. Ho: > 30 H₂: H=30 Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.). OA. The critical values are t OB. The critical value is.
Which of the following is a Null hypothesis for a paired-samples t-test? μd = 0 μd = X μ1 ≠ μ2 μ1 = μ2
Find the value of the standard score, z, and determine whether to reject the null hypothesis at a 0.01 significance level. Is the alternative hypothesis supported? Ho: μ = 19.1 meters, H₂: μ# 19.1 meters, n=144, x= 18.4 meters, o = 1.4 meters The value of the standard score is (Round to two decimal places as needed.) The critical value(s) is/are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Determine whether the alternative hypothesis is supported at a 0.01 significance level. O A. The standard score is at least as extreme as the critical value(s). Reject Ho. The alternative hypothesis is supported. OB. The standard score is at least as extreme as the critical value(s). Do not reject Ho. The alternative hypothesis is not supported. C. The standard score is less extreme than the critical value(s). Reject Ho. The alternative hypothesis is supported. D. The standard score is less extreme than the critical value(s). Do not reject Ho. The alternative…
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ1 − μ2 ≤ 0 Ha: μ1 − μ2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.7 x2 = 22.8 σ1 = 5.8 σ2 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) (c) With ? = 0.05, what is your hypothesis testing conclusion? Reject H0. There is sufficient evidence to conclude that μ1 − μ2 > 0.Reject H0. There is insufficient evidence to conclude that μ1 − μ2 > 0. Do not reject H0. There is insufficient evidence to conclude that μ1 − μ2 > 0.Do not Reject H0. There is sufficient evidence to conclude that μ1 − μ2 > 0.
State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.
The claim is that for 8 AM body temperatures of males, the mean is less than 98.6°F. The sample size is n = 36 and the test statistic is t= -3.675. Use technology to find the P-value. Based on the result, what is the final conclusion? Use a significance level of 0.01. State the null and alternative hypotheses. Ho: HV H₁: p V (Type integers or decimals. Do not round. Do not include the degree symbol in your answer.) The test statistic is. (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Based on the P-value, there ▼sufficient evidence at a significance level of 0.01 to G ▼the claim that for 8 AM body temperatures of males, the mean is less than 98.6°F.
Identify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.15. Which of the following is a type I error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15. B. Reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15. C. Reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. D. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. Which of the following is a type Il error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. B. Reject the claim that the proportion of…
Consider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table) Hypotheses: H0: μD ≤ 2; HA: μD > 2 Sample results: d−d− = 6.9, sD = 7.8, n = 10 The following results are obtained using matched samples from two normally distributed populations: a. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) b. Find the p-value. multiple choice 1 0.025 p-value < 0.05 0.01 p-value < 0.025 p-value < 0.01 p-value 0.10 0.05 p-value < 0.10 c. Use the 1% significance level to make a conclusion. multiple choice 2 Reject H0 since the p-value is less than α. Reject H0 since the p-value is more than α. Do not reject H0 since the p-value is less than α. Do not reject H0 since the p-value is more than α. d.…

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