MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=98.34, y=100.45, r=0.940, P-value=0.000, and y=−3.86+1.06x, where x represents the IQ score of the twin born second. Find the best-predicted value of y given that the twin born second has an IQ of 103? Use a significance level of 0.05.arrow_forwardSee below. I really need help with this.arrow_forwardDo question 7,8 and 9 only The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The corresponding p-value is 0.0305 0.1212 0.3036 0.7724 Question 7 Suppose that the new study uses a level of significance of 0.05 to test the claim in Question 6. The probability of Type I error is 0.025 0.05 0.95 0.975 Question 8 Based on previous studies of school children who were vaccinated and contracted the flu, the time in hours that the flu symptoms last is assumed to follow a normal distribution with a mean of 20.7 hours and a standard deviation of 7.3 hours. The probability that a randomly selected school child has flu symptoms for more than 24 hours is 0.1628 0.3256 0.6744 0.8372 Question 9 Suppose that a random sample of 5 vaccinated school children is taken. Assuming the…arrow_forward
- Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s? is 25 and 4o : 10.5. Suppose we now want to test Ho : o? = of versus H1 : o? + of. Which of these test statistics should we use? Select one: (n-1)s? W = of a. O b. Z %3D O c. T= S/n Let o = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. What is the p-value of the (appropriate) observed test statistic for testing Ho : o? = of versus H1 : o? + of you just computed? Give answer to three decimal places.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_forwardTwo 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_forward
- a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) %3D e. The p-value is> va f. Based on this, we should fail to reject vthe null hypothesis. g. Thus, the final conclusion is that ...arrow_forwardConsider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s is 25 and µo = 10.5. Suppose we now want to test Ho : o² = of versus H1 : o? + of. Which of these test statistics should we use? Select one: O a. W = (n-1)s O b. Z X-P O c. T = S/n Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places.arrow_forwardYou may need to use the appropriate technology to answer this question. Submitted The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A B C P 20 44 50 Q 30 26 30 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. Ho: The column variable is independent of the row variable. H: The column variable is not independent of the row variable. Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. Ho: Variable P is independent of variable Q. H: Variable P is not independent of variable Q. : The column variable is not independent of the row variable. Ho: : The column variable is independent of the row variable. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value %3D State your conclusion. Reject Ho. We conclude that the column and row variables are…arrow_forward
- Refer to the below table. Using an alpha = 0.05, test the claim that IQ scores are the same for children in three different blood lead level groups: low lead level, medium lead level, and high lead level). One-Way Analysis of Variance Summary Table for IQ Measurements for Children among Three Blood Lead Level Groups: Low Lead Level, Medium Lead Level, and High Lead Level. Source df SS MS F p Between-group (treatment) 2 469.1827 2677.864 2.30 0.104 Within-group (error) 118 203.6918 11745.05 Total 120arrow_forwardA sample tested the claim that heights of men and heights of women have difference variances, with s = 7.44592 cm for women and 7.12432 cm for men. The sample sizes are n₁ = 142 and n₂ = 159. When using the F test with these data, is it correct to reason that there is no need to check for normality because n₁ > 30 and n₂ > 30? Choose the correct answer below. O A. No. The F test has a requirement that samples be from normally distributed populations, regardless of how large the samples are. ⒸB. No. There is no need to check for normality regardless of the sample size. There is no normality requirement for the F test. O C. Yes. The F test has a requirement that samples be from normally distributed populations, but this requirement can be ignored for large samples (n, and no greater than 30). O D. No. There is no need to check for normality as long as n₁ ≥ 10 and n₂ ≥ 10.arrow_forward
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