Elsa is using a one-sample t-test with a sample size of 13 to test the null hypothesis, Ho: u < 6, against the alternative, H1: µ > 6. She requires her results to be statistically significant at a significance level of a = 0.05. What is the minimum critical value oft that rejects this null hypothesis? Give your answer precise to three decimal places.
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- A data set includes data from 400 random tornadoes. The display from the technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.1 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Hypothesis test results: μ : Mean of variable H0 : μ=2.1 HA : μ>2.1 Variable Sample Mean Std. Err. DF T-Stat P-value Length 2.63613 0.288165 399 1.860497 0.0318 p Part 1 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypothesesThe CEO of a popular company claims that the mean response time for customer service calls is 9 minutes. A group of recent customers believes that the mean response time is actually slower than that, meaning it takes more than 9 minutes. The customers wish to conduct a hypothesis test at the a = 0.05 level of significance to determine if their claim that it is slower is correct. Which would be correct hypotheses for such a test? Ho:u = 9, Hị: µ > 9 Ho:4 + 9, Hị: µ = 9 %3D OHo:H < 9, Hị :H = 9 ΘΗ :μ = 9, Η :μ <9 ΘΗ:μ = 9, Η :μέ9 What does the P-value measure? O The power of mind of the statistician who performed the statistical experiment O The probability that the alternate hypothesis is true The probability that the results of a statistical experiment are due only to chance O The probability that the results of an statistical experiment are due to something more significant than chance If the resulting P-value is 0.065, which would be the appropriate conclusion? There is significant…The displays provided from the technology available below result from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistics, and P-value, and state the final conclusion that addresses the original claim. T-Test μ<6.00 t=−3.552993 p=0.000427 x=5.35 Sx=1.293612 n=50 Question content area bottom Part 1 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypothese
- I need help solvingMolly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value? If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…The local Hannaford was tracking the proportion of customers who bought flour in their stores. In mid-March they found that 65% of customers were buying flour when it was available. They want to know if that percentage has decreased now that flour is more readily available. Their hypotheses are: Ho: ρ ≥ .65 and Ha: ρ < .65. They sample 200 customers and found that 120 of them bought flour. What is the computed test statistic? Calculate the z or t, whichever is appropriate, and give the result rounded to 2 decimal places. If it's a negative number, put the negative sign before the number with no spaces between it and the number.
- Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.Select the most appropriate response. It is claimed that the mean age of bus drivers in Chicago is 59.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? Question 2 options: There is not sufficient evidence to reject the claim µ = 59.3. There is sufficient evidence to reject the claim p = 59.3. There is not sufficient evidence to support the claim p = 59.3. There is sufficient evidence to support the claim u = 59.3.Find the value of the standard score, z, and determine whether to reject the null hypothesis at a 0.01 significance level. Is the alternative hypothesis supported? Ho: μ = 19.1 meters, H₂: μ# 19.1 meters, n=144, x= 18.4 meters, o = 1.4 meters The value of the standard score is (Round to two decimal places as needed.) The critical value(s) is/are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Determine whether the alternative hypothesis is supported at a 0.01 significance level. O A. The standard score is at least as extreme as the critical value(s). Reject Ho. The alternative hypothesis is supported. OB. The standard score is at least as extreme as the critical value(s). Do not reject Ho. The alternative hypothesis is not supported. C. The standard score is less extreme than the critical value(s). Reject Ho. The alternative hypothesis is supported. D. The standard score is less extreme than the critical value(s). Do not reject Ho. The alternative…
- You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha : p ‡ 0). You have a data set with 7 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of a = 0.05. Find the critical value for this test. rc.v. = ± Report answers accurate to three decimal places.Consider testing H,: B1 = 0 and B2 = 0 under the assumption that the individual t- statistics from the individual hypothesis tests are independent of one another. Consider the "one at a time" test, which tests the joint hypothesis by combing the individual null hypotheses using the individual t-statistics. Solve for the size of the "one at a time" test when the significance level a = 0.1. %3DUse a significance level of a=0.05 to test the claim that μ=19. The sample data consists of 15 scores for which x=20.4 and s=4.8. State the null and alternative hypotheses, compute the value of the test statistic, and find the P-value for the sample. State your conclusions about the claim.