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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- For a test of H0:µ =0 against Ha:µ≠0 with n = 1000, the t test statistic equals 1.04.
- Find the p value and interpret it. ( Hind: big
sample size , t distribution =Normal distribution ) - Suppose t=-2.50 rather than 1.04. Find the p value. Does this provide stronger or weaker, evidence against the null hypothesis?
- Find the p value and interpret it. ( Hind: big
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- Q9. A Random Variable X has an unknown distribution, a known mean of 10 and an unknown variance, oʻ. To test a claim that the distribution is no longer 10, a random sample of 100 of X was collected which gave a sample mean, x of 9.8 and a sample variance, s? = 16. Working at the 5% Significance level what is the reject region? A. z 1.96 2 %3D B. z>-1.96 AND z 2.57 D. z 1.96 О А. А О В. В О С. С O D. Darrow_forwardWhen 40 people used the Weight Watchers dies for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. (Show the solution) A. The null hypothesis is i. The mean weight loss is equal to 0. ii. The mean weight loss is not equal to 0. iii. The mean weight loss is greater than 0. iv. The mean weight loss is less than 0. B. The computed t-test statistic is i. 4.468 ii. 4.977 iii. 3.872 iv. 3.391 C. The critical/tabular t-test statistic is i. 2.426 ii. 1.684 iii. 1.685 iv. 2.423 D. Decision rule: i. Do not reject the null hypothesis. ii. Reject the null hypothesis. E. The final conclusion is i. The mean weight loss is not equal to 0 therefore Weight Watchers is effective. ii. The mean weight loss is less than 0 therefore Weight Watchers is not effective. iii. The mean weight loss is equal to 0 therefore Weight Watchers…arrow_forwardSuppose you want to test the claim that u, > H,. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that o #o5. At a level of significance of a = 0.01, when should you reject Ho? n, = 18, n2 =13, x, = 470, x2 = 455, s, = 40, s2 = 25 %3D O A. Reject H, if the standardized test statistic is greater than 2.681. B. Reject Ho if the standardized test statistic is greater than 1.699. O C. Reject H, if the standardized test statistic is greater than 3.055. D. Reject H, if the standardized test statistic is greater than 2.179.arrow_forward
- Two samples were drawn independently from two normal populations. Sample 1: 11.6, 11.35, 10.1, 10.85, 10.35, 10.6, and 11.1.Sample 2: 5.85, 8.85, 9.85, 11.85 and 7.85.Test to determine whether the means of the two population differs (use α=0.05).arrow_forwardTest the claim below about the mean of the differences for a population of paired data at the level of significance x. Assume the samples are random and dependent, and the populations are normally distributed. Claim: μ ≥0; x = 0.10. Sample statistics: d= -2.4, s = 1.3, n = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd 0 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Since the P-value is the level of significance, C OB. Ho: Hd>0 Ha: Hd ≤0 O D. Ho: Hd #0 Ha: Hd = 0 OF. Ho: Hd 20 Ha: Hd <0 the null hypothesis. There statistically significant evidence to reject the claim.arrow_forwardPlz help asap 46arrow_forward
- Use the data to calculate the sample variance, s. (Round your answer to five decimal places.) n = 7: 1.6, 3.5, 1.6, 2.1, 3.1, 2.9, 3.0 %3D Construct a 95% confidence interval for the population variance, of. (Round your answers to two decimal places.) to Test Ho: = 0.8 versus H: of + 0.8 using a = 0.05. State the test statistic. (Round your answer to two decimal places.) x2 State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to two decimal places.) x2 > x² State the conclusion. H, is rejected. There is sufficient evidence to indicate that the population variance is different from 0.8. H, is rejected. There is insufficient evidence to indicate that the population variance is different from 0.8. H, is not rejected. There is sufficient evidence to indicate that the population variance is different from 0.8. O Ho is not rejected. There is insufficient evidence to indicate that the population variance is different from 0.8.arrow_forwardConstruct a 99% confidence interval for u, - H, with the sample statistics for mean cholesterol content of a hamburger from two fast food chains and confidence interval construction formula below. Assume the populations are approximately normal with unequal variances Stats X, = 98 mg, s,= 3.81 mg, n, = 14 x = 65 mg, s, =222 mg, n, =20 Confidence interval when variances are not equal +t. n2 d.f. is the smaller of n, - 1 or n, - 1 Enter the endpoints of the intervalarrow_forwardIID Suppose X1, ..., X, N(u, o?). Construct a 95% confidence interval for o? when u is known.arrow_forward
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