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- Exercise 1 – Chi-Square Goodness of Fit Test A recent study in a national business journal asked consumers the following question: “In general, how would you rate the level of service provided by your supermarket?” A district manager of Piggly Wiggly supermarkets asked the same question about Piggly Wiggly supermarkets in her district. She took a random sample of 525 Piggly Wiggly shoppers. The question she seeks to answer is: Do the results of the Piggly Wiggly survey contradict the national study using a 5 percent significance level? # 1: Test Set-Up This table shows the result of the Piggly Wiggly survey along with consumers’ ratings of supermarkets from the national study. Find the expected frequencies Table 15: Expected Frequencies (Note: Expected frequencies have been rounded off to a whole number.) # 2: Select the Significance Level, α A 5 percent significance level has been selected # 3: State the Null and Alternate Hypotheses H0: H1: Follow the examples shown in…Coffee temperatures (degrees Fahrenheit) at a certain restaurant have quartiles Q1 = 159, Q2 = 164, and Q3 = 167. Using the inner fences as a criterion, would a temperature of 150 be considered an outlier?Researchers notice that access to food may be related to later success in secondary education. Researchers formulate a hypothesis that says: teenagers are more likely to graduate high school in cities with more food banks per capita compared to cities that have fewer food banks per capita. They run a pilot study with n = 4 neighborhood blocks, sampled randomly across cities in the U.S. Here, x = number of food banks in the target city and y = number of high school graduates in a 4x4 block radius. The data are presented in the table below. What is the correlation between access to food banks (x) and high school graduation (y)? a) Calculate the sum of products b) Calculate Pearson’s r
- Seat Designs. In Exercises 13–20, use the data in the table below for sitting adult males and females (based on anthropometric survey data from Gordon, Churchill, et al.). These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. (Hint: Draw a graph in each case.) Sitting Back-to-Knee Length (inches) For females, find the first quartile q1 , which is the length separating the bottom 25% from the top 75%.Although a large number of tasks in the computer industry are robotic, many operations require human workers. Some jobs require a great deal of dexterity to properly position components into place. A large North American computer maker routinely tests applicants for these jobs by giving a dexterity test that involves a number of intricate finger and hand movements. The tests are scored on a 100-point scale. Only those who have scored above 70 are hired. To determine whether the tests are valid predictors of job performance, the personnel manager drew a random sample of 45 workers who were hired 2 months ago. He recorded their test scores and the percentage of nondefective computers they produced in the last week. Determine the regression line and interpret the coefficients by using a 5% significance level. PLEASE ONLY USE EXCEL AND SHOW ALL EXCEL COMMANDS! Test Nondefective 79 93 81 93 79 94 79 91 76 94 81 94 79 94 79 92 82 93 86 93 83 92 78 95 77 92 77…?How do you find D? Asking about the end behavior of the data?
- During the graphical analysis of the data below, two different curves were fitted to the data using the least squares method. The curves are as follows. Decide which curve is more suitable by calculating the correlation coefficients.Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 40 expectant mothers have mean weight increase of 15.8 pounds in the second trimester, with a standard deviation of 6.2 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds. Find the p-value for the hypothesis test. The p-value should be rounded to 4 decimal places.1 (part 2). Does When Food Is Eaten Affect Weight Gain?A study was introduced that examined the effect of light at night on weight gain in mice. In the full study of 27 mice over a four-week period, the mice who had a light on at night gained significantly more weight than the mice with darkness at night, despite eating the same number of calories and exercising the same amount. Researchers noticed that the mice with light at night ate a greater percentage of their calories during the day (when mice are supposed to be sleeping). The computer output shown below allows us to examine the relationship between percent of calories eaten during the day, DayPct, and body mass gain in grams, BMGain. A scatterplot with regression line is also shown below (attached image).Pearson correlation of BMGain and DayPct =0.740P-Value =0.000--------------------------------------------------------------The regression equation isBMGain=1.11+0.127DayPct Predictor Coef SE Coef T P Constant 1.113 1.382…
- 4. PC World rated four component characteristics for 10 ultraportable laptop computers: features; performance; design; and price. Each characteristic was rated using a 0-100 point scale. An overall rating, referred to as the PCW World Rating, was then developed for each laptop. The following tables show regression output examing relationships between the performance rating, features rating, and the PCW World Rating for the 10 laptop computers (PC World website, February 5, 2009). Regression Statistics Multiple R 0.743236929 R Square 0.552401133 Adjusted R Square 0.496451275 Standard Error 2.59221488 Observations 10 ANOVA df SS MS F Significance F Regression 1 66.34338 66.34338 9.873146…The principal of an elementary school wanted to see if there are differences in the abilities of first, second, and third graders to render a three-dimensional image into a two- dimensional drawing (as judged by trained coders). All students were attending the same school, and data were collected during the same semester. What test I use? -Independent samples t test -ANOVA -Paired samples t test -CorrelationStatistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below:
