The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At α= 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington?
Find p-value. Round it to the nearest hundredths.
The mean age of Senators in the 109th Congress was 60.35 years. A random sample of...
One-way Airfares. The average one-way airfare from Pittsburg to washington, D.C., is $236. A random sample of 20 one-way fares during a particular month had a mean of $210 with a standard deviation of $43. At α = 0.02, is there sufficient evidence to conclude a difference from the stated mean? Use the sample statistics to construct a 98% confidence interval for the true mean one-way airfare from Pittsburg to Washington D.C, and compare your interval to the results of...
In a recent year, the distribution of age for senators in the United States Senate was unimodal and roughly symmetric with mean 65 years and standard deviation 10.6 years. Consider a simulation with 200 trials in which, for each trial, a random sample of 5 senators’ ages is selected and the mean age is calculated. Which of the following best describes the distribution of the 200 sample mean ages? (A) Approximately normal with mean 65 years and standard deviation 10.6...
A national business magazine reports that the mean age of retirement for women executives is 61.0. A women’s rights organization believes that this value does not accurately depict the current trend in retirement. To test this, the group polled a simple random sample of 95 recently retired women executives and found that they had a mean age of retirement of 61.5. Assuming the population standard deviation is 2.5 years, is there sufficient evidence to support the organization’s ...
To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. If the population standard deviation is 8.2 years, computer the standard error of the mean. (Round to one decimal place) Answer What is the probability that the sample mean age of the employees will be within 2 years of the population mean age? (Round to four decimal places) Answer
Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.5 inches (a) State the appropriate null and alternative hypotheses to assess whether women are taller today (b) Suppose the P value for this testis 0.02. Explain what this value represents (c) Write a conclusion for this hypothesis foot assuming...
Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 63.9 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today (b) Suppose the P-value for this test is 0.12. Explain what this value represents. (C) Write a conclusion for this hypothesis test assuming...
Using a random sample of n = 50, the sample mean is = 13.5. Suppose that the population standard deviation is σ=2.5. Is the above statistical evidence sufficient to make the following claim μ ≠15: ?o: μ=15 ??: μ ≠15 α = 0.05. p value = 0 Interpret the results using the p value test. A) Reject Ho. B) Do not reject Ho.
7) A retired statistics professor has recorded final exam results for decades. The mean final exam score for the population of her students is 82.4 with a standard deviation of 6.5 . In the last year, her standard deviation seems to have changed. She bases this on a random sample of 25 students whose final exam scores had a mean of 80 with a standard deviation of 4.2 . Test the professor's claim that the current standard deviation is different...
A random sample from normal population yielded sample mean=40.8 and sample standard deviation= 6.1, n = 15. H0: μ = 32.6, Ha: μ ≠ 32.6, α = 0.05. Perform the hypothesis test and draw your conclusion. Question 3 options: Test statistic: t = 5.21. P-value=0.00013. Reject H0. There is sufficient evidence to support the claim that the mean is different from 32.6. Test statistic: t = 5.21. P-value=1.9E-7 (0.00000019). Do not reject H0. There is not sufficient evidence to support...
A random sample from normal population yielded sample mean=40.8 and sample standard deviation= 6.1, n = 15. H0: μ = 32.6, Ha: μ ≠ 32.6, α = 0.05. Perform the hypothesis test and draw your conclusion. A. Test statistic: t = 5.21. P-value=0.00013. Reject H0. There is sufficient evidence to support the claim that the mean is different from 32.6. B. Test statistic: t = 5.21. P-value=1.9E-7 (0.00000019). Reject H0. There is sufficient evidence to support the claim that the...