Which of the following is NOT true when testing a claim about a standard deviation or variance?CO A. The condition of a normally distributed population is a much stricter requirement for the x² test than for the t test or the z test.O B.The x² test is not robust against a departure from normality.O C. The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results.O D. The table for finding P-values does not usually give exact P-values as it only includes select values of a and selected numbers of degrees of freedom.

Given:: NOT true when testing a claim about a standard deviation or variance.

Answered: Which of the following is NOT true when…

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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Which of the following is not true when using the confidence interval method for testing a claim about u when a is unknown? Choose the correct answer below. OA. The P-value method, the traditional method, and the confidence interval method are equivalent and yield the same results. OB. For a one-tailed hypothesis test with a 0.05 significance level, one must construct a 90% confidence interval. OC. The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. OD. For a two-tailed hypothesis test with a 0.05 significance level, one must construct a 95% confidence interval.
Prof. Gersch knows that the score on a standardized test is perfectly normal with unknown mean and a standard deviation of 50. He then takes a random sample of 25 tests and finds that the average of these is 200. Prof. Gersch wishes to make a 95% confidence interval for the average of all the grades.What is the upper end of the confidence interval? a. 220 b. 300 c. 298 d. 225.8 e. 329 f. 219.6
不 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. EZCH H n X S b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
Which of the following statements is NOT correct about the hypothesis test of comparing two correlation coefficients? O a. As the sample size increases, the critical value for the z-test will become smaller in absolute value O b. Table D (transformation of r to z) shows that when r is smaller, the corresponding z is very close to r O c. For the computation, the two correlation coefficients should be converted into z-scores first O d. Because r distribution is severely skewed, we can't directly use r for the hypothesis test
Mark performed a two-sample z-test for proportions to test the hypothesis that there was no difference in the proportion who support increasing student fees between male and female students at a particular university. Mark obtained a z-statistic of 0. Based on this information, which of the following is always true. The sample proportions for male and females will be the same as the hypothesized proportions for male and female students at this university. The sample proportions for both male and female students at this university will be 0. All male and female students in the sample will feel the same way about supporting the increase in student fees. The sample proportions will be the same for both male and female students at this university. Test whether p1>p2 The sample data are x1=116,n1=258,x2=135,n2=311. Conduct a test at the α=0.10 level of significance. Determine the correct null and alternative hypothesis below. Determine the test statistic. Find the P-value: What is…
This test statistic leads to a decision to... A.) reject the null B.) accept the null C.) fail to reject the null You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002. Ho:μ=55.6 Ha:μ>55.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=601n=601 with mean ¯x=57.1x¯=57.1 and a standard deviation of s=19.9s=19.9.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... A.) less than (or equal to) αα B.) greater than α As such, the final conclusion is that... A.) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 55.6. B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than…
Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.
Determine whether the following statements are True or False: In a confidence interval (CI) for a population mean, the margin of error (MOE) is half the width of the CI. If we constructed 1000 independent 90% CI’s for a population mean µ, thenwe’d expect about 900 of them to contain µ If we increase the sample size of SRS’s, then the width of the CI’s corresponding to the SRS’s decreases, i.e., the CI’s become narrower
A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true? A B O E Neither the probability of a Type Il error nor the power of the test would change. Both the probability of a Type II error and the power of the test would decrease. Both the probability of a Type Il error and the power of the test would increase. The probability of a Type II error would decrease and the power of the test would increase. The probability of a Type Il error would increase and the power of the test would decrease.
Last year the mean cost u for a one-bedroom rental in a certain city was $1,200 per month. Eli is looking for a one-bedroom apartment and is investigating whether the mean cost is less now than what it was last year. A random sample of apartments had a sample mean c of $1,180 per month. Assuming all conditions for inference are met, Eli will conduct a hypothesis test as part of his investigation. Which of the following is the correct set of hypotheses? Subi Ho : H = 1,200 A Ha : µ > 1,200 Ho : H = 1,200 B H : µ < 1,200 Ho : T = 1,200 Ha : I < 1,200 Ho : = 1,180 H: 1,180 Ho : = 1,180 H: < 1,180
Consider the hypothesis test below. Ho : P1 – P2 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 100 n2 = 300 P1 = 0.27 P2 = 0.15 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? Select your answer -
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.

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