Suppose a shop owner claims that an equal number of customers come into his shop each weekday. To test this hypothesis, he records the number of customers that come into the shop on a given week and finds the following: Monday: 50 customers Tuesday: 60 customers Wednesday: 40 customers Thursday: 47 customers Friday: 53 customers He can use a Chi-Square Goodness of Fit Test to determine if the distribution of the customers that come in each day is consistent with his hypothesized distribution.

Suppose that the number of classes and the class width of a certain distribution is 8 and 3.5, respectively. If the largest data value in this distribution is 35, what would be the smallest data value?

25) Refer to the figure below. A ssume that all the distributions are symmetric (i.e. the sample mean and median are approximately equal) and that all the samples sizes are the same. Imagine carrying out two ANOVAS. The first ANOVA compares the means based on samples A, B, and C (left of the vertical line), and the second ANOVA compares the means based on samples X, Y, and Z (right of the vertical line). One of the calculated values of the F-statistic is 0.92 and the other is 33.54. Which value is which, and why? Data in HER2 on inv breast aloo sals imme e to 60 50 Che 30 20 10 A Group A) 33.54 goes with A, B, and C; 0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the variation within groups is smaller relative to the variation between groups. B) 33.54 goes with A, B, and C;0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the variation between groups is smaller relative to the variation within groups. C) 0.92 goes with A, B,…

. Myers-Briggs: Actors Isabel Briggs Myers was a pioneer in the study of personality types. The following information is taken from MBTI Manual: A Guide to the Development and Use of the Myers-Briggs Type Indicator by Myers and McCaulley (Consulting Psychologists Press). In a random sample of 62 professional actors, it was found that 39 were extroverts. Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. Find a 95% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you have found. Check Requirements Do you think the conditions np > 5 and nq > 5 are satisfied in this problem? Explain why this would be an important consideration.