Use a t-test to 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≠24; α=0.05 Sample statistics: x=28.2, s=4.9, n= 11 What are the null and alternative hypotheses? The standardized test statistic is? P-value =
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A: Given that Claim:μ>1180, α=0.02, σ=213.86, Sample statistics: x¯=1200.81, n=250.
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Q: Use technology to help you test the claim about the population mean, u, at the given level of…
A: Solution: The given claim is µ≤1250. From the given information, n=300, x-bar=1266 and σ=202.48.
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using the given sample statistics. Assume the population is
Sample statistics: x=28.2, s=4.9, n= 11
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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 normally distributed. Claim: µs 1290; a = 0.05; o = 206.33. Sample statistics: x = 1319.78, n = 250 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: HS1290 B. Ho: H2 1290 HaiH 1290 O C. Ho: H> 1319.78 Ha: HS 1319.78 O D. Ho:s 1319.78 HaiH>1319.78 O E. Ho: H2 1319.78 O F. Ho: H> 1290 Ha: H< 1319.78 Haius 1290 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 5% significance level, there enough evidence to 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> 1220; α = 0.08; o = 209.91. Sample statistics: X = 1239.17, n = 300 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: μ> 1239.17 Ha:μ≤1239.17 OC. Ho: μ≤ 1220 Ha:μ> 1220 E. Ho: μ21239.17 Ha: μ 1239.17 D. Ho: μ ≥ 1220 Ha: μ 1220 Ha:μ≤ 1220Test 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).
- 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 Treatment Placebo μ μ1 μ2 n 28 32 x 2.35 2.61 s 0.95 0.66 What is the null and alternative hypotheses? The test statistic, t, is? The P-value is? Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. ?<μ1−μ2<?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)4758945542428462993656838640967652866179101964387103596043524566974010140833853398649613552933856446594population 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 R
- Use technology to help you test the claim about the population mean, p, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u > 1280; a = 0.07; o = 196.31. Sample statistics: x= 1308.11, n= 200 H p> 1280 Ha: p 1308.11 O D. Ho: Hs 1308.11 Ha ps 1308.11 Ha: p> 1308.11 O E. H, p> 1280 O F. Ho: µ2 1280 Ha: u< 1280 Ha ps 1280 Calculate the standardized test statistic. The standardized test statistic is 2.03. (Round to two decimal places as needed.) Determine the P-value. P 3D (Round to three decimal places as needed.)Use a t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed. Claim: #253; a%30.05 Sample statistics: x-23.1, s=4.5, n=12 What are the null and alternative hypotheses? Choose the correct answer below. What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.)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>1300; α=0.08; σ=211.56. Sample statistics: x=1326.31, n=250 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ≥1326.31 Ha: μ<1326.31 B. H0: μ≥1300 Ha: μ<1300 C. H0: μ≤1326.31 Ha: μ>1326.31 D. H0: μ>1326.31 Ha: μ≤1326.31 E. H0: μ≤1300 Ha: μ>1300 F. H0: μ>1300 Ha: μ≤1300 Calculate the standardized test statistic. The standardized test statistic is enter your response here. (Round to two decimal places as needed.) Determine the P-value. P=enter your response here (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. ▼ Reject Fail to reject H0. At the 8%…
- 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. Treatment Placebo μ μ1 μ2 n 27 39 x 2.38 2.65 s 0.87 0.61 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1<μ2 H1: μ1≥μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Your answer is correct. The test statistic, t, is (Round to two decimal places as needed.)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>1290; α=0.02; σ=210.88. Sample statistics: x=1309.93, n=200 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ>1290 Ha: μ≤1290 B. H0: μ≥1290 Ha: μ<1290 C. H0: μ≤1290 Ha: μ>1290 D. H0: μ≥1309.93 Ha: μ<1309.93 E. H0: μ≤1309.93 Ha: μ>1309.93 F. H0: μ>1309.93 Ha: μ≤1309.93 Calculate the standardized test statistic. The standardized test statistic is nothing. (Round to two decimal places as needed.) Determine the P-value. P=nothing (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. ▼ Reject Fail to reject H0. At the 2% significance level, there ▼ is not is enough…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> 1300; a = 0.06; o =213.24. Sample statistics: x = 1333.41, n = 250 %3D Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: µ> 1333.41 Ha: µs 1333.41 В. Но: и> 1300 Ha: us 1300 D. Ho: µ2 1333.41 Ha: µ 1300 Ο F H0: μ5 1333.41 Ha: µ> 1333.41 Calculate the standardized test statistic, z. Use the z formula. The standardized test statistic, z is (Round to two decimal places as needed.) Determine the P-value. Hint: Keep in mind that P-value depends on the type of test. (where Area = the number from the table) Left-tailed test: P-value=Area Right-tailed test: P-value=1-Area Two-tailed test: P-value=2*Area P = (Round to three decimal places as needed.) Compare P with a and then State your conclusion. Determine the outcome and conclusion of the test. Ho. At the…