simple random sample of 80 adults is obtained, and each person’s red blood cell count is measured. The sample mean is 6.25 and a standard deviation of .65. Use a .01 significance level to test the claim that the sample is from a population with a mean less than 6.4, which is a value often used for the upper limit of the range of normal values. (For each hypothesis test state H0 and H1)
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A simple random sample of 80 adults is obtained, and each person’s red blood cell count is measured. The sample mean is 6.25 and a standard deviation of .65. Use a .01 significance level to test the claim that the sample is from a population with a mean less than 6.4, which is a value often used for the upper limit of the
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- Contaminated water: The concentration of benzene was measured in units of milligrams per liter for a simple random sample of five specimens of untreated wastewater produced at a gas field. The sample mean was 7.2 with a sample standard deviation of 2.8. Seven specimens of treated wastewater had an average benzene concentration of 4.2 with a standard deviation of 2.5. It is reasonable to assume that both samples come from populations that are approximately normal. Can you conclude that the mean benzene concentration differs between treated water and untreated water? Let u, denote the mean benzene concentration for-What is the test statistic, t ? -The P-value is l ?Consider two populations in the same state. Both populations are the same size (22,000). Population 1 consists of all students at the State university. Population 2 consists of all residents in a small town. Consider the variable Age. Which population would most likely have the largest standard deviation? They would likely have the same standard deviation(SD) for age because they have the same population size. O Population 2 would more likely have a higher standard deviation (SD) than Population 1. Population 1 would more likely have a higher standard deviation(SD) than Population 2 There is not enough information to tell.
- A study was done on body temperatures of men and women. 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. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ The test statistic, t, is (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) State the conclusion for the test. μ n X S Men P₁ 11 97.67°F 0.94°FAn engineer is comparing voltages for two types of batteries (K and Q) using a sample of 35 type K batteries and a sample of 44 type Q batteries. The type K batteries have a mean voltage of 8.56, and the population standard deviation is known to be 0.565. The type Q batteries have a mean voltage of 8.74, and the population standard deviation is known to be 0.307. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let µj be the true mean voltage for type K batteries and µ2 be the true mean voltage for type Q batteries. Use a 0.05 level of significance. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places.Samples of students where drawn from two universities and from their weights in kgm and standard deviation are calculated. Make a large sample test to test the significance of the difference between means. Mean Standard Dev. Sample Size 400 University A 55 10 University B 57 15 100 a. The Null hypothesis is accepted b. The Null hypothesis is rejected c. The Alternative hypothesis is accepted d. The Null hypothesis cannot determine e. NONE OF THE ABOVEResearchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. 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. OA. Ho: H₁ H₂ H₁: ₁2₂ OC. Ho: #₁ #₂ H₁: HyA test of sobriety involves measuring the subject's motor skills. Twenty randomly-selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. The results for the test turn out to be: Ho: H = 35.0. H1:µ/35.0. Test statistic: t 7.252. Critical values: t = -2.861, 2.861. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0. If a defense attorney argues the results are not valid because the sample size was too small, is his argument valid here? Yes, because the t-test is not as powerful as the z-test. No, because we rejected the null hypothesis. Yes, because we rejected the null hypothesis. O No, the sample size is never an issuc. O We need more information to answer.AnkitThe CDC is concerned that teenagers are being pushed into too many out-of-school activities. Their studies conclude that two out-of-school activities is the healthiest amount. You sample 49 students from the local high school and find that on average they participate in 5 activities with a standard deviation of 2. Use α = .01 for a two-tailed test. What is the cut-off value of t?Test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected. A manufacturer uses a new production method to produce steel rods. A random sample of 37 steel rods resulted in lengths with a mean a+1 and standard deviation of 4.7 cm. At the 0.10 significance level, test the claim that the new production method has mean 5.5 cm, which was the mean for the old method. a=2Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham(or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributedpopulations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? What is the test statistic, t? What is the P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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