Test the claim about the population mean p at the level of significance a. Assume the population is normally distributed. Claim: p> 24; a=0.05; o= 1.2 Sample statistics: x=24.3, n=50 .... O A. Reject Ho. There is enough evidence at the 5% level of significance to support the claim. ES O B. Fail to reject Ho. There is not enough evidence at the 5% level of significance to support the claim. O C. There is not enough information to decide. Ne 54°F a ere to search
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- 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.)Samples of body temperatures were taken from both men and women. The information from the samples is summarized below. Use a 0.05 significance level to to test the claim that men and women have different mean body temperatures. Men: n₁ = 15; 1 = 98.38° F; s₁ = 0.45°F Women: n2=91; 2 = 98.17°F; $2 = 0.65° F a. On your Work Upload or Calculations page, write down your hypotheses. Label which hypothesis is the claim. b. The test statistic is c. The critical value is . (Round to 3 decimal places.) (Round to 3 decimal places.) d. The p-value is (Round to 3 decimal places.) e. On your Work Upload or Calculations page, show how you made your decision using either the traditional or p-value method. The correct decision is to 1: Reject the null hypothesis, or 2: Fail to reject the null hypothesis. box.) (Type 1 or 2 in the f. On your Work Upload or Calculations page, write your conclusion/results summary. (Use the standard language about evidence and support of claims.)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: u> 1260; a= 0.01; o = 203.23. Sample statistics: x= 1278.79, n = 300 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H> 1260 O B. Ho: Hs 1278.79 HaiHS 1260 HaiH> 1278.79 O C. Ho: H2 1260 HaiH 1260 E. Ho: H> 1278.79 O F. Ho: H2 1278.79 HaiHS 1278.79 Ha:u< 1278.79
- Use technology to help you test the claim about the population mean, , at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1240; a = 0.09; o = 208.13. Sample statistics: x= 1267.96, n= 300 O E. Ho: us 1267.96 O F. Ho µ> 1267.96 Ha p> 1267.96 Ha µs 1267.96 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. V Ho. At the 9% significance level, there V enough evidence to the claim.Determine the Test statistic. Determine the P-Value. State the final conclusion that addresses the original 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.
- Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. ... Question content area top right Part 1 Mother 62.0 65.0 64.7 65.5 65.0 67.0 66.0 66.5 63.0 58.5 Daughter 68.0 69.0 66.5 63.0 68.0 62.0 66.5 66.7 63.5 66.5 Question content area bottom Part 1 In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? H0:…A null hypothesis states that p=.7, the observed sample proportion is p=.653 with a sample size of n=90. Determine the z-score. -0.97 O 0.92 -1.48 O 1.35Do cars really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.1 significance level, test the claim that the mpg on the highway is better than in the city. MPG on the Highway 35.6 34.3 32.2 33.9 31.1 27.1 33.3 33.4 29.3 33.5 31.4 33.2 33.5 30.8 33.8 MPG in the City 26.4 25.3 18.6 25.6 24.7 24.6 25.1 22.4 29.3 23.7 23.4 22 24 23.6 25.5 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer p x̄₁ p₁ σ₁² μ₁ μ₂ μ μ(Highway) x̄₂ p̂₁ s₁² p₂ ? ≤ ≠ < ≥ = > Select an answer p₁ p₂ p̂₁ μ(City) μ μ₁ μ₂ x̄₁ x̄₂ s₁² σ₁² p H1: Select an answer p₂ μ(Highway) p̂₂ σ₂² x̄₁ x̄₂ s₂² μ₁ μ₂ μ p₁ p ? < ≠ = ≥ ≤ > Select an answer p₂ p₁ μ₁ σ₁²…
- Use the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. Sample data: x¯=32.4 mi s=8.3 mi n=35 Identify the tail of the test. Find the P-value Will the null hypothesis be rejected? Is the initial claim supported?What does the t test for the difference between the means of 2 independent populations assume? A. The sample sizes are equal. B. The sample variances are equal. C. The populations are approximately normal. D. All of the aboveA large sample size is needed to show significance in a test of two population standard deviation. O True O False