Let TT represent the population proportion of adult Americans who respond favorably when asked about the president's job performance. Suppose that 50% of adult Americans respond favorably when asked about the president's job performance, and suppose you plan to take a simple random sample (SRS) of n adult Americans. a. Use the Central Limit Theorem to calculate the standard deviation of the sampling distribution of the sample proportion of adult Americans who respond favorably, for each of the following values of n. Round your answers to four decimal places. When n = 600, standard deviation =

The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 29 34 28 34 26 28 Actor (years) 59 40 39 40 30 32 54 a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, 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 actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Ho Md 42 27 33 40 41 43 year(s) year(s) H₁ H (Type integers or decimals. Do not round.) Identify the…

A researcher would like to evaluate the effectiveness of a pain-relief patch designed for back pain. Prior to testing the patch, each of n = 8 patients rates their current level of back pain on a scale from 1 to 10. After wearing the patch for 90 minutes, a second pain rating is recorded. The data are as follows:                  Before  After                      6         2                      8         3                      9         4                      8         1                    10         2                      5         3                      9         8                      7         7   a. Compute the mean and variance for the sample of difference scores. ​ b. Do the results indicate that the pain-relief patch has an effect? Use a two-tailed test with α = .05 ​ c. Compute Cohen’s d to measure the size of the effect.

(1). Ten students took a test, and their scores are as follows: 82 90 20 35 60 61 65 75 79 80 (a). Find the sample variance. (b). Find the inter quartile range. (c). show them on the box-plot. Draw a box-plot for the above data in the space given below. If there are any outliers, make sure to : to 20 30 40 50 80 70 90 100

The marital status distribution of the U.S male population, age 15 and older, is as shown below in first column. Suppose that a random sample of 400 U.Syound adult males, 18-38 years old, yielded the following frequency distribution . We are interested in whether this age group of males fits the distribution of the U.S adult population. marital status expected frequency observed frequency never marreid  31.3 140 marreid 56.1 238 widowed 2.5 2 divorced/seperated 10.1 20 total 100 400 Choose the correct calculation

A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the previous year. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1.

If two large random samples are drawn from two populations, each having a mean of $100, the relevant sampling distribution of their difference has a mean of a. 200 b. The Sum of the 2 Sample Means C. 0 D. The difference between the two sample means.