population proportion is 0.61. Suppose a random sample of 655 items is sampled randomly from this population. Appendix A Statistical Tables https://education.wiley.com/was/ui/v2/assessment-player/index.html?launchId=fadd8e93-2d03-4168-96ff-9c03c5f48c15# a. What is the probability that the sample proportion is greater than 0.64? b. What is the probability that the sample proportion is between 0.57 and 0.64? c. What is the probability that the sample proportion is greater than 0.60? d. What is the probability that the sample proportion is between 0.57 and 0.59? e. What is the probability that the sample proportion is less than 0.51?

Describe a scenario where a researcher could use an F-test for the equality of two variances to answer a research question.

find the sample variance for the following data set  using xi  and (xi^2) 20.2,  21.8,   17.6   ,  21.6  ,  19.5  ,  19.8   ,  18.6

For a hypothesis test of a single population mean with known population standard deviation (o), we can use either Geogebra or Minitab. In Geogebra, use the "Statistics" tab in the Probability Calculator in Geogebra. If needed, click the drop-down menu near the top and select "Z Test of a Mean" (this is the default). In Minitab, use Stat > Basic Statistics > 1 sample Z. Select Summarized Data from the drop-down menu. Check mark "Perform Hypothesis Test" and enter the hypothesized value. Click Options and select the appropriate alternative hypothesis. In either program, enter the sample mean, population standard deviation, and sample size. We'll use a sample with x = 67.1, n = 36, and assume that o = - 18.3. For a hypothesis test of Ho = 60 versus H₁ μ> 60: • The given sample has a test statistic of • The P-value for the test is For a hypothesis test of Hop= 70 versus HA: μ< 70: • The given sample has a test statistic of = • The P-value for the test is For a hypothesis test of Ho μ = 70…

For a hypothesis test of a single population mean with unknown population standard deviation (σσ), we can use either Geogebra or Minitab. In Geogebra: use the “Statistics” tab in the Probability Calculator. Click the drop-down menu near the top (default is “Z Test of a Mean”) and choose “T Test of a Mean.” In Minitab: Select Stat > Basic Statistics > 1 sample t. Select Summarized Data from the drop-down menu. Check mark “Perform Hypothesis Test” and enter the hypothesized value. Click Options and select the appropriate alternate hypothesis. For both: Enter the sample mean, sample standard deviation, and sample size. We’ll use a sample with x¯=73.2, s=14.16, n=16. For a hypothesis test of H0:μ=70 versus HA:μ >70 The given sample has a test statistic of  The P-value for the test is   For a hypothesis test of H0:μ=75 versus HA:μ<75H0:μ=75 versus HA:μ<75: The given sample has a test statistic of    The P-value for the test is    For a hypothesis test of H0:μ=75 versus…

A racing car consumes a mean of 106106 gallons of gas per race with a standard deviation of 66 gallons. If 3333 racing cars are randomly selected, what is the probability that the sample mean would be greater than 103.7103.7 gallons? Round your answer to four decimal places.