Statistical Inference for Difference in Population Proportions. Required data conditions [Mark one answer]: ______Random sample from Normal distribution, n > 30. ______Random sample from Binomial distribution, np > 5, n(1 − p) > 5. ______Two independent random samples, and n1p1, n1(1 − p1) > 5, n2p2,n2(1 − p2) > 5.
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Statistical Inference for Difference in Population Proportions. Required data conditions
[Mark one answer]:
______Random sample from
______Random sample from Binomial distribution, np > 5, n(1 − p) > 5.
______Two independent random samples, and n1p1, n1(1 − p1) > 5, n2p2,n2(1 − p2) > 5.
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- Production output (i.e., number of parts) for a random sample of days from two different plants is shown below. Sample Size (n) 45 55 Sample Mean output (x-bar) 1,250 1,325 Sample Variance (s2) 625 676 What is the estimate of the standard deviation for the difference between the two means?Which of the following are the assumptions for a Paired Samples t Test? Choose all assumptions which are appropriate. O Equal population variances Two outcomes Normal Sampling Distribution: np 2 5 & n(1-p) 2 5 ONormal Sampling Distribution: n,p, 2 5, n,(1-p,) > 5 n;p2 > 5 & n,(1-p2) > 5 ORandom samples UKnown population standard deviation ONormal Sampling Distribution: n 2 30 or Population is normally distributed OIndependent samples OExpected values 2 5 UUnknown population standard deviation Fixed number of trials UThe proportion is constant Independent trialsSham Treatment 5. Researchers 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. 27 n 27 0.42 0.47 1.38 0.95 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pa than those given a sham treatment. What are the null and alternative hypotheses? O A. Ho: 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. the null hypothesis. There (2). sufficient evidence to support the claim that those (1). treated with…
- Dala on the eights (Ib) o the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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 0.01 significance level for both parts. Diet Regular H2 27 27 0.79037 lb 0.80399 lb 0.00449 Ib 0.00756 lb UA. Ho P1= P2 B. Ho H1 7 µ2 D. Ho H1= H2 O C. Ho: H1 =H2 H1: 1 > H2 Hyi HyHi could you answer whts in blank[Statistics] How do you solve this question? Thank youDiet Regular Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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 0.01 significance level for both parts. H2 x 0.78446 Ilb 0.81653 lb 0.00434 Ib 0.00742 Ib a. Test the claim that the contents of cans of diet soda have weights with a mean that less than the mean for the regular soda. What are the null and alternative hypotheses? O A. Ho: H1 = H2 H,: H H2 O D. Ho: H, H2 H: H1To assess whether two data sets are derived from the same distribution—which need not be known, you can apply the test for _____________ that uses the chi-square distribution. The ________ hypothesis for this test states that the populations of the two data sets come from the same distribution. The test compares the observed values against the expected values if the two populations followed the same distribution. The test is right-tailed. Each observation or cell category must have an expected value of at least ______. Group of answer choices independence, null, four homogeneity, null, five goodness of fit, null, five variance test, alternate, four(a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) Standard Error (a) o = = 16 48, n %3D (b) o = 48, n 64 k (c) o = 48, n = 256 %3D (b) What happens to the standard error each time you quadruple the sample size? nt ences The standard error is (Click to select) by half. 2 of 10 Nemt > < Prev ******* Hcation pe here to search[Statistics: Confidence Intervals and Hypothesis Testing] How do you solve this, will upvote if done quicklyIt is believed that 58% of Americans like to eat at restaurants every week. You interview 6 Americans and ask if they like to eat at restaurants every week. The random variable x represents the number of Americans that like to eat at restaurants every week. Find the mean of the binomial distribution. μ = ____________________________ Find the standard deviation of the binomial distribution. σ = __________________________ What is the probability that at least 1 of the Americans surveyed likes to eat at restaurants every week? Provide an answer to 4 decimal places.(a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) Standard Error (a) o = 26, n = 4 (b) o = 26, n = 16 (c) o = 26, n = 64 (b) What happens to the standard error each time you quadruple the sample size? The standard error is (reduced O by half.SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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