6. Test the claim that μ > 2.85. Use a significance level of .01. The sample data consists of 9 scores for which x¯ = 3.25 and s = 0.53. The sample data was randomly collected from a population that is normally distributed. Show work.
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6. Test the claim that μ > 2.85. Use a significance level of .01. The sample data consists of 9 scores for which x¯ = 3.25 and s = 0.53. The sample data was randomly collected from a population that is
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- Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is nomally distributed. Claim: u> 1230; a = 0.03; o = 209.07. Sample statistics: x= 1251.28, n 250 O A. H,: µ2 1251.28 Hg: µ 1230 Hg: us 1230 O C. Ho us 1251.28 Ha: u> 1251.28 D. Ho: us 1230 Ha: p> 1230 Ο Ε Η : μ2 1230 OF. Ho: u>1251.28 Ha: µ<1230 H3: µS 1251.28 Calculate the standardized test statistic. The standardized test statistic is 1.61. (Round to two decimal places as needed.) Determine the P-value. P= 0.0537 (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Fail to reject Ho: At the 3% significance level, there is enough evidence to support the claim.Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: µ> 1170; a = 0.07; o = 212.01. Sample statistics: x= 1185.03, n= 300 Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. Ho μ2 1185.03 Ο Β. Ho : με 1185.03 Ha: µ 1185.03 O C. H μ2 1170 O D. Ho: µ> 1170 Ha: H 1185.03 Ha: µ> 1170 Ha: us1185.03 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the P-value. P = (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Ho. At the 7% significance level, there enough evidence to the claim.Assume that a simple random sample has been selected from a normally distributed population. State the final conclusion.Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, and s = 11,500 miles. Use a significance level of α = 0.01.H0: μ = 220,000 HA: μ > 220,000State your conclusion about H0. Choose the best answer below: A. Reject HA B. Do not reject H0 C. Do not reject HA D. Reject H0 E. Cannot draw a conclusion for information given
- Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1230; α=0.09; σ=203.58.Sample statistics: x=1255.28, n=275 A. Calculate the standardized statistic B. Determine P value C. Determine the outcome and conclusion of the test Please show me how you solved the problem.Use technology to help you test the claim about the population mean, μ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: μ> 1270; α=0.02; a=214.81. Sample statistics: x= 1293.27, n=275 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: > 1270 H₂:μ≤ 1270 OB. Ho: 21270 Ha: H1270 C. Ho: H≤ 1270 Ha: H> 1270 OE. Ho: s1293.27 H₂:μ> 1293.27 Calculate the standardized test statistic. The standardized test statistic is 1.80. (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) O D. Ho: > 1293.27 Ha: Hs 1293.27 OF. Ho: 21293.27 H₂:1293.27
- A teacher would like to determine if quiz scores improve after completion of a worksheet. The students take a pre-quiz before the worksheet and then another quiz after the worksheet. (Pre-quiz score - Post-quiz score) Assume quiz scores are normally distributed. The grades for each quiz are given below. Use a significance level of a = 0.05. H₂: Hd = 0 Ha: Hd <0 pre-quiz 12 16 17 16 11 15 12 7 15 13 post-quiz 13 16 15 16 14 15 13 9 14 15 What is the test statistic? test statistic = (Report answer accurate to 2 decimal places.) What is the p-value for this sample? p-value= (Report answer accurate to 3 decimal places.) The correct decision is to Select an answer Conclusion: Select an answer that the worksheet improved quiz scores.An independent measures study with n = 6 in each sample produces a sample mean difference of 8 points and Sm1-m2= 2. What is the value for the T statistic? A. 1 B. 2 C. 4 D. 4/-8Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
- Use technology to help you test the claim about the population mean, μ, at the given level of significance, x, using the given sample statistics. Assume the population is normally distributed. Claim: μ> 1270; α=0.02; a=214.81. Sample statistics: x= 1293.27, n = 275 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: > 1270 OB. Ho: 21270 H₂H1270 H₂H1270 c. Ho: H≤ 1270 H₂: H> 1270 OE. Ho: s1293.27 H₂: > 1293.27 Calculate the standardized test statistic. The standardized test statistic is 1.80. (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) OD. Ho: > 1293.27 H₂: Hs 1293.27 OF. Ho: 2 1293.27 H₂: <1293.27Solve the problem. Find the standardized test statistic t for a sample with n = 15, x = 8.7, s = 0.8, and a = 0.05 if Ho: Hs 8.4. Round your answer to three decimal places. a. 1.452 b. 1.631 c. 1.728 d. 1.312Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed Claim: 1180; a=0.06: a202.19. Sample statistics x= 1208.77, n=300 Identify the null and alternative hypotheses. Choose the correct answer below. OA H 1208.77 H1208.77 OC. H₂>1208.77 H:Hs 1208.77 OE H:1208.77 H₂>1208.77 Calculate the standardized test statistic The standardized test statistic in (Round to two decimal places as needed) Determine the P-value P= (Round to three decimal places as needed.) Determine the outcome and conclusion of the test Ho. At the 6% significance level, there enough evidence to OB. Hop21180 H₂1180 OD. Hus 1180 H₂>1180 OF H₂1180 Hps 1180 the claim