Consider the following hypothesis test. a. What is your conclusion if n₁ = 21, s = 8.2, n2 = 26, and s2 = 4.0? Use α = 0.05 and the p-value approach. Calculate the value of the test statistic (to 2 decimals). The p-value is between 0.05 and 0.10 What is your conclusion? Use Table 4 of Appendix B. Cannot conclude that the two population variances are different b. Repeat the test using the critical value approach. What is the rejection rule for this hypothesis test? Round the critical values to 2 decimal places. Reject Ho if F greater than or equal to What is your conclusion? Ho: 0 = 0 H₂:00 Cannot conclude that the two population variances are different ✓

Consider the following hypothesis test. a. What is your conclusion if n₁ = 21, s = 8.2, n2 = 26, and s2 = 4.0? Use α = 0.05 and the p-value approach. Calculate the value of the test statistic (to 2 decimals). The p-value is between 0.05 and 0.10 What is your conclusion? Use Table 4 of Appendix B. Cannot conclude that the two population variances are different b. Repeat the test using the critical value approach. What is the rejection rule for this hypothesis test? Round the critical values to 2 decimal places. Reject Ho if F greater than or equal to What is your conclusion? Ho: 0 = 0 H₂:00 Cannot conclude that the two population variances are different ✓

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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For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A fitness magazine advertises that the mean monthly cost of joining a health club is less than $25. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of 18 clubs has a mean monthly cost of $26.25 and a standard deviation of $3.23. Perform the appropriate hypothesis test at α = 0.10.
For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A city planner claims that the mean speed of westbound traffic along a road segment during morning peak hours is less than 50 miles per hour. In a random sample of 45 motor vehicles traveling westbound on the road segment during morning peak hours, the mean speed is 51 miles per hour. Assume the population standard deviation is 5 miles per hour. Perform the appropriate hypothesis test at α = 0.05.
An automobile manufacturer claims that their van has a 46 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 61 vans they found a mean MPG of 46.1 with a variance of 6.76 MPG. Is there sufficient evidence at the 0.01 level that the vans outperform the manufacturer's MPG rating? State the null and alternative hypotheses for the above scenario.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 436 gram setting. Based on a 20 bag sample where the mean is 433 grams and the variance is 121, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.
Under what circumstances is the t statistic used instead of the Z score for a hypothesis test?
If the p-value of a hypothesis test is equal to 0.035, then the null hypothesis will be rejected for which cases? SELECT ALL THAT APPLY. a. for a significance level of 0.01 b. for a significance level of 0.10 c. for a significance level of 0.05 d. for a significance level of 0.02
If a researcher obtained a P-value of 0.01 for a hypothesis test that has a significance level of 0.05, what conclusion should the researcher make? 1 The null hypothesis should not be rejected. 2 The alternative hypothesis should not be rejected. 3 The null hypothesis should be rejected. 4 The alternative hypothesis should be rejected. 5 The null hypothesis must be false.
Consider the following hypothesis statement using α=0.01 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b.H0: μ1−μ2=0x1=14.5x2=13.0H1: μ1−μ2≠0s1=2.6s2=3.2n1=23n2=19Question content area bottomPart 1a. Calculate the appropriate test statistic and interpret the result. The test statistic is enter your response here.(Round to two decimal places as needed.)Part 2The critical value(s) is(are) enter your response here.(Round to two decimal places as needed. Use a comma to separate answers as needed.)Part 3Because the test statistic ▼ falls within the critical values,is less than the critical value,does not fall within the critical values,is greater than the critical value, ▼ rejectdo not reject the null hypothesis.Part 4b. Identify the p-value from part a and interpret the result.The p-value is enter your response here.(Round to three decimal places as needed.)Part 5Interpret the…
For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A scientist claims that pneumonia causes weight loss in mice. The table below shows weight, in grams, of six mice before infection with pneumonia and two days after infection. At α = 0.01, evaluate the scientist’s claim. Before After Mouse 1 19.8 18.4 Mouse 2 20.2 19.6 Mouse 3 19.9 19.1 Mouse 4 22.1 20.7 Mouse 5 23.4 22.2 Mouse 6 23.6 23.0