Compute the value of the test statistic. b. use the t distribution table to compute a range for the p-value. c. At α = 0.05 , what is your conclusion? d. what is the rejection rule using the critical value? what is your conclusion?
Q: You wish to test the following claim (HaHa) at a significance level of α=0.10. Ho:μ=54.4…
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A: Givenclaim is μ≠26α=0.05x=22.8s=4.3n=14
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A: Reviewing the information, the claim : μ=51,700α=0.10 Sample statistics: x=52,677s=2300n=19
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H0:μ = 18 Ha:μ ≠ 18
A sample of 48 provided a sample
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- 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≠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…1. What is the standardized test statistic? t = ___. 2. What is/are the critical value(s)?For the hypothesis test Ho: u = 14 against H1:µ < 14 and variance known, calculate the P-value for the following test statistic: Z0 = - 1.96. Round your answer to three decimal places (e.g. 98.765). P-value
- Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With H 1: p≠0.377, the test statistic is z=3.06.Use 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 = 51,100; x = 0.01 Sample statistics: x=51,527, s=2800, n=20 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. OA. Ho: 251,100 Hgia 51,100 What is the value of the standardized test statistic? The standardized test statistic is. (Round to two decimal places as needed.) t-Distribution Table d.f. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 45 50 60 70 80 90 100 500 1000 30 d.f. Level of confidence, c One tail, a Two tails, a B. Ho: 51,100 H₂:51,100 Level of O D. Ho: μ*51,100 H₂:μ=51,100 0.99 0.80 0.90 0.95 0.98 0.10 0.05 0.025 0.01 0.005 0.20 0.10 0.05 0.02 0.01 d.f. 3.078 6.314 12.706 31.821 63.657 1 1.886 2.920 4.303 6.965 9.925 2 1.638 2.353 3.182 4.541 5.841…You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=67.6Ho:μ=67.6 Ha:μ<67.6Ha:μ<67.6You believe the population is normally distributed. You obtain a sample mean of 64.2 and a sample standard deviation of 10.4 for a sample of size 34.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
- 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=52,500; α=0.10 Sample statistics: x=52,691, s=1900, n=17 LOADING... Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. A. H0: μ≠52,500 Ha: μ=52,500 B. H0: μ≤52,500 Ha: μ>52,500 C. H0: μ=52,500 Ha: μ≠52,500 D. H0: μ≥52,500 Ha: μ<52,500 What is the value of the standardized test statistic? The standardized test statistic is nothing. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) nothing. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. A. Fail to reject H0.…Assume 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…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 decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)
- For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Claim: The mean IQ score of statistics professors is less than 122. Sample data: n=21, x=120, s=14. The significance level is α=0.05. 1. Determine the test statistic t. t= ____ (Round to three decimal places as needed.) 2. Find the critical value using a t-distribution table. The critical value is ____ (Round to three decimal places as needed.) 3. What is the conclusion? A. Fail to reject the null hypothesis and do not support the claim tha μ>130. B. Reject the null hypothesis and do not support the claim that μ>130. C. Reject the null hypothesis and support the claim that μ>130. D. Fail to reject the null hypothesis and support the claim that μ>130.3. Use technology and 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>75; α=0.10 Sample statistics: x=76.4, s=2.9, n=24 a. The standardized test statistic is (Round to two decimal places as needed.) b. What is the P-value of the test statistic? P-value= (Round to three decimal places as needed.) c. Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Fail to 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 enough evidence to support the claim. D. Reject H0. There is not enough evidence to support the claim.Use 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.
