I A Perform the test of hypotheses indicated, using the data from independent samples given. Use the critical value approach. Compute the p-value of the test, as well. a. Test Ho : H1 - Hz = 0 vs. Ha : H - H2 # 0@a=0.01 -46, 81 n1 = 125, 1 = = 10 90, 2 = -50, s2 n2 = = 13 b. Test Ho : H1 - Hz n1 = 40, T1 = 142, s1 = 11 118. s2 = 20 vs. Ha : H - Hz > 20@a= 0.05: n2 = 40, 2 = = 10 itica
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- Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p = 0.2 versus H,: p> 0.2 n= 125; x= 40; a = 0.05 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, zg. Zo = (Round to two decimal places as needed.)A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =Carboxyhemoglobin is formed when hemoglobin is exposed to carbon monoxide. Heavy smokers tend to have a high percentage of carboxyhemoglobin in their blood.t Let x be a random variable representing percentage of carboxyhemoglobin in the blood. For a person who is a regular heavy smoker, x has a distribution that is approximately normal. A random sample of n = 12 blood tests given to a heavy smoker gave the following results (percent carboxyhemoglobin in the blood). Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. 9.1 9.8 10.4 9.8 11.3 12.2 11.6 10.3 8.9 9.7 13.4 9.9 (a) Use your calculator to calculate x and s. (Round your answers to four decimal places.) X = S = (b) A long-term population mean u = 10% is considered a health risk. However, a long-term population mean above 10% is considered a…
- Below indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test. A researcher wants to know if people find baby animals cuter than adult animals. All of the participants in a study are shown 10 pictures of baby animals and 10 pictures of adult animals. They are asked to rate (on a 1 to 10 scale) how cute they think each animal is.Which confidence interval would lead you to Fail to Reject H0? Group of answer choices Test value: 10 Confidence Interval: 13.1 – 15.1 Test value: 5 Confidence Interval: 5.6 – 6.9 Test value: 5 Confidence Interval: 4.5 – 6.3 Test value: 10 Confidence Interval: 9.2 – 9.8Test the claim about the population mean μ at the level of significance a. Assume the population is normally distributed. Claim: μ<4915; a = 0.02 Sample statistics: x=5017, s=5613, n = 54 What are the null and alternative hypotheses? Ho: μ 4915 Ha: μ < 4915 (Type integers or decimals. Do not round.) Find the standardized test statistic t. t = 0.13 (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.)
- 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.Construct 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 intervalTest the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.6 versus H₁: p > 0.6 n = 200; x = 125; a = 0.05 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, Zo- Zo = (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below. OA: Reject the null hypothesis, because the P-value is greater than α. OB. Reject the null hypothesis, because the P-value is less than α. OC. Do not reject the null hypothesis, because the P-value is greater than α. O D. Do not reject the null hypothesis, because the P-value is less than a. #3 80 F3 E $ 4 000 F4 R % 5 F5 T MacBook Air < 6 F6 Y & 7 AA F7 U * 0 8 DII F8 ( 9 DD F9 C I 0IID Suppose X1, ..., X, N(u, o?). Construct a 95% confidence interval for o? when u is known.Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the s Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (u): n=15, x=0.45, s=1.02 Reduction in Pain Level After Sham Treatment (H2): n = 15, x=0.38, s = 1.55 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁ 2H2 OC. Ho: HH2 H₁: H₁Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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