A professor states papers are graded using the following categories: excellent, above average, average, and below average. Furthermore, the professor maintains that turned-in papers are graded graciously and offers the following distribution of percentages as an estimate of the manner in which the grades are distributed. Excellent Above Average Average Below Average 25% 35% 25% 15% A group of students suspects the professor may indeed be generous but only in the perception of being an easy grader. All of the students who had previously taken this professor’s course in the last three years are available, and amazingly, they still have their papers. A random sample of 100 former students is taken, and the actual distribution of evaluations is recorded. Excellent Above Average Average Below Average 25% 35% 25% 15% O= 20 O= 25 O= 30 0= 25 Note that since the sample size is 100, the observed frequencies sum to 100. Is there a reason to conclude that the professor’s claim is mistaken? Find the Test statistics; if the alpha = 0.05

What conclusions do you reach from this chart? A. There is an approximately equal percentage of males and females who enjoy shopping for clothing. B. There is a higher percentage of males who enjoy shopping for clothing. C. There is a higher percentage of females who enjoy shopping for clothing. D. The side-by-side bar chart is inconclusive. O A. Yes- No- 0. 100 200 300 400 Frequency Male C Female

Twenty-nine college students, identified as having a positive attitude about Mitt Romney as compared to Barack Obama in the 2012 presidential election, were asked to rate how trustworthy the face of Mitt Romney appeared, as represented in their mental image of Mitt Romney’s face. Ratings were on a scale of 0 to 7, with 0 being “not at all trustworthy” and 7 being “extremely trustworthy.” Here are the 29 ratings:  2.6 3.2 3.7 3.3 3.4 3.6 3.7 3.8 3.9 4.1 4.2 4.9 5.7 4.2 3.9 3.2 4.5 5.0 5.0 4.6 4.6 3.9 3.9 5.3 2.8 2.6 3.0 3.3 3.7   a 95% confidence interval for the mean rating. Is there significant evidence at the 5% level that the mean rating is greater than 3.5 (a neutral rating)?

A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased.  In the local area there are three main retailers: W-Mart, Tag, and URToy.  For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. 1. What kind of statistical test should be used to test the consumer group's research goal, assuming that the researcher wanted to use the 1-to-10 scale as a numerical interval measure? A. Repeated-measures t-test B. One-way Independent Measures ANOVA C. Repeated-measures ANOVA D. Independent-measures t-test   2. State the hypothesis that aims to test the consumer group’s research goal (i.e., what is H0 and HA).

The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Television Newspaper Gross Revenue Advertising Advertising ($1,000s) ($1,000s) ($1,000s) 97 5.0 1.5 2.0 2.0 06 95 4.0 1.5 92 2.5 2.5 103 3.0 3.3 94 3.5 2.3 94 2.5 4.2 105 3.0 2.5 a. Develop an estimated regression equation with the amount of television advertising as the independent variable (to 1 decimal). Revenue = TVAdv b. Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables (to 2 decimals). Revenue = TVAdv + NVAdv c. Is the estimated regression equation coefficient for television advertising expenditures the same in part (a) and in part (b)? - Select your answer - Interpret the coefficient in each case. In - Select your answer - :, the coefficient is an estimate of the change in revenue due to a one-unit change in…