Consider the following hypothesis test:H0 : μ ≤12Ha : μ >12 A sample of 25 provided a sample mean 14 and standard deviation 4.32. Computeand state your conclusion using α = 0.05.
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Consider the following hypothesis test:
H0 : μ ≤12
Ha : μ >12
A sample of 25 provided a sample
and state your conclusion using α = 0.05.
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- Consider the following hypothesis test: H 0: u= 16 H a: u not equal16 A sample of 40 provided a sample mean of 14.35. The population standard deviation is 5. a. Compute the value of the test statistic (to 2 decimals). (If answer is negative, use minus “-“ sign.) b. What is the p-value (to 4 decimals)? c. Using = .05, can it be concluded that the population mean is not equal to 16? d. Using = .05, what are the critical values for the test statistic (to 2 decimals)?a. State the Null and Alternative Hypotheses and Choose the appropriate statistical test b. Determine the Level of Significance and the Critical Value c. Solve for the computed valueUse 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≠29; α=0.05 Sample statistics: x=26.1, s=4.6, n=10 What are the null and alternative hypotheses? Choose the correct answer below. A. H0: μ≥29 Ha: μ<29 B. H0: μ=29 Ha: μ≠29 C. H0: μ≠29 Ha: μ=29 D. H0: μ≤29 Ha: μ>29 What is the value of the standardized test statistic? The standardized test statistic is nothing. (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value=nothing (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. A. Reject H0. There is not enough evidence to support the claim. B. Reject H0. There is enough evidence to support the claim. C. Fail to reject H0. There is not enough…
- A sample mean, sample standard deviation, and sample size are given. Perform the required hypothesis test about the mean, μ, of the normal population from which the sample was drawn. H0: μ ≤ 2.85, Ha: μ > 2.85, x = 3.26, s = 0.55, n = 9, α = 0.05Consider the following hypothesis test: Ho :µ = 17O Ha : µ + 170 A sample of 23 provided a sample mean of 182 and a sample standard deviation of 20. Find the value of the test statistic. Select one: O a. t= 0.60 O b. t = -0.60 O c. t= 2.88 O d. t=-2.88Assume a significance level of α=0.1 and use the given information to complete parts (a) and (b) below. Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 70 bpm. The hypothesis test results in a P-value of 0.0025. a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below. A. Fail to reject H0 because the P-value is less than or equal to α. B. Reject H0 because the P-value is less than or equal to α. C. Reject H0 because the P-value is greater than α. D. Fail to reject H0 because the P-value is greater than α. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. The mean pulse rate (in beats per minute) of the group of adult males is 70 bpm. B. There is sufficient evidence to warrant rejection of the claim that the…
- The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the p-value for this hypothesis test would be ________.A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population with a population standard deviation of 0.66. The sample mean is 2.59. Conduct the following test of hypothesis using the 0.08 significance level. H0 : μ1 ≤ μ2 H1 : μ1 > μ2 A). Is this a one-tailed or a two-tailed test? multiple choice 1 One-tailed test Two-tailed test B). State the decision rule. (Negative values should be indicated by a minus sign. Round your answer to 2 decimal places.) C). Compute the value of the test statistic. (Round your answer to 2 decimal places.) D). What is your decision regarding H0? multiple choice 2 Reject H0 Fail to reject H0 E). What is the p-value? (Round your answer to 4 decimal places.) B, C, and D please. Thanks!Assume a significance level of α=0.1 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 15 bpm. The hypothesis test results in a P-value of 0.2402. a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below. A. Reject H0 because the P-value is greater than α. B. Fail to reject H0 because the P-value is greater than α. C. Reject H0 because the P-value is less than or equal to α. D. Fail to reject H0 because the P-value is less than or equal to α. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. The standard deviation of pulse rates of the group of adult males is less than or equal to 15 bpm. B. There is not sufficient evidence to support…
- A sample of 30 observations is selected from a normal population. The sample mean is 59, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.02 significance level.H0: μ = 62H1: μ ≠ 62 a. Is this a one- or two-tailed test? (One-tailed or Two-tailed) b. What is the decision rule? (Reject H0 if −2.326 < z < 2.326 or Reject H0 if z < −2.326 or z > 2.326) c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)The value of the test statistic is d. What is your decision regarding H0? (Reject H0 or Fail to reject H0) e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)The p-value is e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)There is a % chance of finding a z value this large by "sampling error" When H0 is true.A sample of 38 observations is selected from one population with a population standard deviation of 3.0. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 5.2. The sample mean is 98.8. Conduct the following test of hypothesis using the 0.02 significance level. He: H₁ H₂ H₁ H₁ H₂ Required: a. Is this a one-talled or a two-talled test? O One-talled test Ⓒ Two-talled test b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject Hō if z is > Answer is complete but not entirely correct. the interval ( outside 1.96 X c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) 1.96 XUse a t-test to 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 #25; x = 0.01 Sample statistics: x= 28.7, s=4.9, n = 13 What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: H=25 H₂: μ#25 OB. Ho: H≤25 H₂: μ>25 O C. Ho: μ ≥25 H₂: μ<25 O D. Ho: μ#25 H₂:μ=25 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject Ho. There is not enough evidence to support the claim. OB. Reject Ho. There is not enough evidence to support the claim. O C. Fail to reject Ho. There is enough evidence to support the claim. OD. Reject Ho. There is enough evidence to support the claim.
