A 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 1% significance level. x=18, s=5, n=15, H0: μ=22, Ha: μ<22 The test statistic is t=
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- 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 0.05 significance 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? A. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H2 H₁ H₁ H₂ The test statistic, t, is -1.45. (Round to two decimal places as needed.) The P-value is 0.153. (Round to three decimal places as needed.) State the conclusion for the test. C OB. Ho: H₁Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: u = 40; ¤ = 0.09; o = 3.34. Sample statistics: x = 38.2, n = 51 Identify the null and alternative hypotheses. Choose the correct answer below. O B. Ho: H#40 O A. Ho: H40 Ha: H = 40 O E. Ho: H= 40 Ha: µ>40 O F. Ho: H= 40 Ha: H# 40 Calculate the standardized test statistic. The standardized test statistic is - 3.85 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is B. The critical values are t Determine the outcome and conclusion of the test. Choose the correct answer below. Click to select your answer(s).Test the indicated claim about the means of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.01 significance level, test the claim that blue enhances performance on a creative task. Red Background Blue Background n1 = 41 n2 = 44 xˉx̄1 = 19.2 xˉx̄2 = 18.7 s1 = 0.88 s2 = 0.35 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer μ(blue) s₁² μ₂ p₂ p̂₁ σ₁² p μ₁ x̄₂ μ x̄₁ p₁ ? < ≥ ≠ ≤ = > Select an answer p₁ μ s₁² σ₁² μ₂ p₂ x̄₁ p̂₁ μ(red) μ₁ p x̄₂ H1: Select an answer x̄₁ x̄₂ p₁ μ₁ μ μ(blue) p p₂ σ₂² s₂² p̂₂ μ₂ ? ≤ < = ≥ ≠ > Select an answer σ₁² x̄₂ p₁ x̄₁ μ₁ p p₂ μ μ₂ p̂₁ s₁² μ(red) Original Claim = Select an answer H₁ H₀ df = Based on…Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g. Assume that the sample is a simple random sample. 15.5 3.5 2.5 4 14 6.5 15.5 3.5 16 9 Determine the test statistic._______ Determine the P-value.________ State the final conclusion that addresses the original claim._______Astudy 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. 26 2.35 0.87 40 2.6 054 a Test the claim that the two samples are from populations with the same mean.Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 69bpm. Use a 0.05 significance level. Determine the p-value, test statistic, and whether to reject or support the null hypothesis. Pulse Rates (bpm)4758945542428462993656838640967652866179101964387103596043524566974010140833853398649613552933856446594A 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 1% significance level. x= 19, n=25, a=5, Ho: H=21, H₂: H#21 wwwpopulation mean, i, at the given lével of significance using the given sample statistics. ples (fo Claim: u = 40; a = 0.06; ở = 3.75. Sample statistics: x = 38.5, n = 52 signme Identify the null and alternative hypotheses. Choose the correct answer below. radeboc O A. Ho:H= 40 Ha: H# 40 O B. Ho: H= 40 Hg:H 40 OF. Ho: H40 HaiH = 40 Accessibl Resource Ha:H = 40 Calculate the standardized test statistic. Tools for The standardized test statistic is. (Round to two decimal places as needed.) Multimed Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is Click to select your answer(s). МacВook Air 888 @ %23 2$ & 2 3 5 6 7 Q E Y P A G K C V M on command com 00 つ RTreatment Placebo 3. H1 H2 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 0.05 significance level for both parts. A study was done using a treatment group and a placebo group. The results are shown in the 27 40 In 2.39 2.65 0.95 0.57 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 O B. Ho: H1H2 D. 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. O A. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection…Teat the claim abouy the population mean, u, at the given level of significance, a, using the given sample statistics. Claim:u=50; a=0.05; o=3.11. Sample statistics: x=48.4, n=71. i) Identify the null and alternative hypothesis. (Do not forget to find the standardized test statistic and critical values) ii) Determine tge outcome and conclusion of the test.The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.Determine the Test statistic. Determine the P-Value. State the final conclusion that addresses the original claim.SEE MORE QUESTIONS