A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 43.9 s = 5.3 n = 15 α = 0.05 H0: µ = 32.6 H1: µ ≠ 32.6 The test statistics is (Round to three decimal places)
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A sample
Sample mean = 43.9 s = 5.3 n = 15 α = 0.05
H0: µ = 32.6
H1: µ ≠ 32.6
The test statistics is (Round to three decimal places)
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At the 8% significance…Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is u> 98.6°F. The sample size is n = 6 and the test statistic is t= 2.287. P-value = (Round to three decimal places as needed.)Test the claim about the population variance o at the level of significance a. Assume the population is normally distributed Claim: o? s 19.4; a = 0.10 Sample statistics: s? = 25.78, n= 51 Write the null and alternative hypotheses. Họ: o? Hai o? Find the critical value(s) and determine the rejection region. Select the correct and below and fill in the corresponding answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. X? O B. x² OC. X: OD.A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=26 n=20, σ=6 H0: μ=24 Ha: μ>24 The test statistic is z=___________ (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ±zα/2=±______________ B. The critical value is −zα=_____________ C. The critical value is zα=___________ _____ (Reject, do not reject) the null hypothesis. The data ____________________(do not provide, provide sufficient) evidence to conclude that the mean is (less than 40, equal to 40, not equal to 40, greater than 40)Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. 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Use the one-mean z test to perform the required hypothesis test at the 10% signifigance level. Find the test statistics and P-Values. x bar-22 n=36 s=5 Ho: mean =24 Ha: mean < 24A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 10% significance level. x=25, s=10, n=24, H0: μ=24, Ha: μ>24 The P-value is=? less than 0.01. between 0.01 and 0.05. between 0.05 and 0.1. greater than 0.1.Treatment Placebo A study was done using a treatment group and a placebo group. 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. Use a 0.10 significance level for both parts. H1 H2 In 34 31 2.39 2.68 S 0.62 0.98 a. Test the claim that the two samples are from populations with the same mean. 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