1.A coffeehouse wishes to see if customers have any preference among 5 different brands of coffee. A sample of 200 customers provided the data below. Calculate the chi-square test statistic ?2 for Goodness-of-Fit to test the claim that the distribution is uniform.Brand 1 2 3 4 5Customers 30 65 18 32 55a.55.63b.37.45c.48.91d.45.912.In the previous coffeehouse example, what would be the critical value for the test for Goodness-of-Fit? Use a = .01a.9.488b.13.277c.14.860d.11.1433.”Squibs” are multi-colored round candies. The manufacturer of Squibs claims that in each bag, 13% are blue, 19% are yellow, 8% are red, 34% are purple, and 26% are green. If there are 400 squibs in a two-pound “jumbo bag”, what are the expected frequencies of each color?a.52 Blue, 76 Yellow, 32 Red, 136 Blue, 104 Greenb.32 Blue, 76 Yellow, 52 Red, 104 Blue, 136 Greenc.52 Blue, 136 Yellow, 32 Red, 76 Blue, 104 Greend.32 Blue, 76 Yellow, 52 Red, 136 Blue, 104 Green4.A researcher wants to determine whether the number of minutes adults spend online per day is related to gender, or if the two are independent. A random sample of 315 adults was selected and the results are shown below. Find the expected frequency for the cell E2,2 (30-60 minutes, Female) to determine if there is enough evidence to conclude that the number of minutes spentonline per day is related to gender. Round to the nearest tenth if necessary.a.33b.69.7c.52.3d.445.A sample of people, broken down into four age groups, was asked which of four types of music they prefer. A 4×4 table was used to indicate the quantities of each group liking each type. In a chi-square test for independence (“Are age and preferred type of music dependent?”), the test statistic was calculated to be 17.078. Which of the following conclusions to the test is correct?a.reject that age and musical preference are independent if a = .05b.reject that age and musical preference are independent if a = .005c.reject that age and musical preference are independent if a = .01d.reject that age and musical preference are independent if a = .025
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