You have identified an unbiased estimator of some population parameter. Which of the following is true? (Select all  that apply)

Which of the following is true about the finite population correction factor? (Select all that apply)

Based on your selected parameters, what sample size should you select? (Round your answer to 4 decimal places.)

Based on your suspicion and the manufacturer’s claim, what is the alternative hypothesis?

Is there a difference in college students’ GPA for STEM majors compared to Business majors? A random sample of 80 STEM majors and 80 Business majors reported their current cumulative GPA. The 95% confidence interval to estimate the mean difference (STEM – Business) in college students’ GPA was determined to be (-0.487, 0.832).  Does this scenario involve matched pairs or two independent samples?[a] Fully interpret the interval in context.With 95% confidence, it is estimated that the [b1] for [b2] college students that are STEM majors is between [b3] points [b4] and [b5] points [b6] than in the Spring semester. Does the interval support that the mean GPA for college students during the Fall semester is significantly different than in the Spring semester?[c]

An instructor wants to know whether using an interactive math app improves students’ problem-solving skills. A group of 12 high school students takes a standardized math test before using the app. After six weeks of daily app-based practice, the same students take a posttest with similar questions. The instructor compares pretest and posttest scores to determine if the app increased performance. Which type of test should be used for this scenario?

A study was conducted to determine if there are any differences in commute times of employees working in offices located in Cincinnati, St. Louis, and Nashville. Each office randomly sampled 100 employees. Each person reported the time it typically takes them to get to work (in minutes). What is the explanatory variable for this study?[a] What is the response variable for this study?[b] What hypotheses should be tested?H0: [c1]Ha: [c2] What test statistic is needed for this test? [d] The p-value associated with this test is 0.1288. What decision should be made at the 0.1 level?[e] **You will type your conclusion for this problem in the next question.**

A statistician wishes to compare the batting speed of wooden bats versus composite bats. A sample of college baseball players is selected at random. Each player chooses which type of bat they wish to use – wooden or composite. The batting speed of each player is recorded in mph. Use the summarized data below to determine if there is a difference in batting speeds at the 0.05 significance level. Bat Type n mean standard deviation wooden 26 67.45 4.41 composite 32 68.93 3.87   State the hypotheses for this test.H0: [a1]Ha: [a2] State the decision rule.[dr] Determine the test statistic.[ts] Determine the p-value.[p] What conclusion should be made?At the 0.05 level, there [e1] significant evidence to claim there is a difference in the [e2] of wooden and composite bats.

In a survey of 1,096 Americans conducted about a week into the U.S. government shutdown, individuals were asked if they agreed or disagree with the statement, “The shutdown of the federal government has impacted people in my community.” The political party of each person was also recorded. The results are summarized in the two-way table below. Expected counts are in parentheses next to observed counts. Political Party Agree Disagree Unsure/No Response Total Democrats 274 (180.12) 56 (112.94) 68 (104.95) 398 Republicans 106 (47.97) 173 (111.52) 114 (103.63) 393 Independents 116 (138.03) 82 (86.55) 107 (80.42) 305 Total 496 311 289 1096   The percentage of Democrats that agreed is [a1]. The percentage of Republicans that agreed is [a2]. The percentage of Independents that agreed is [a3].If there is no relationship between the variables, we expect the percentages above to be [a4]. What hypotheses should be tested?H0: political party and opinion regarding shutdown [b1] relatedHa: political party and opinion regarding shutdown [b2] related Is the expected count requirement met to conduct this test? [c1] What test statistic is needed for this test? [d] The p-value associated with this test is

A company’s HR department wants to find out whether employees’ preferred work schedule (early morning, standard 9–5, or late shift) is related to which department they work in. Employees are randomly surveyed to report both their preferred schedule and department. Which type of test should be used for this scenario?