1. A shop owner claims that an equal number of customers come into his shop each weekday. To test this hypothesis, a researcher records the number of customers that come into the shop on a given week and finds the following: Days Monday Tuesday Wednesday Thursday Friday Probability (%) 12% 40% 17% 13% 18% Frequency 50 customers 60 customers 40 customers 47 customers 53 customers a) Perform Chi-Square with SPSS and fill out the following table Test Statistics Count Chi-Square df Asymp. Sig b) We want to determine if there is a statistically significant difference in the number of expected counts for each level of a variable compared to the observed counts. State the null hypothesis. c) Find the critical value for X0.05 d) What is your conclusion. Spring: 2024 STAT 209 Page 3 of 4 2. How long should an infant be breast-fed? Recommendations regarding how long infants in developing countries should be breast-fed are controversial. If the nutritional quality of the breast milk is inadequate because the mothers are malnourished, then there is risk of inadequate nutrition for the infant. On the other hand, the introduction of other foods carries the risk of infection from contamination. Further complicating the situation is the fact that companies that produce infant formulas and other foods benefit when these foods are consumed by large numbers of customers. One question related to this controversy concerns the amount of energy intake for infants who have other foods introduced into the diet at different ages. Part of one study compared the energy intakes, measured in kilocalories per day (kcal/d), for infants who were breast-fed exclusively for 4, 5, or 6 months. Here are the data: Breast-fed for: Energy intake (kcal/d) 4 months 499 620 469 485 660 588 675 517 649 209 404 738 628 609 617 704 558 653 548 5 months 490 395 402 177 475 617 587 528 518 370 431 518 368 538 519 506 616 639 6 months 585 647 477 445 485 703 528 465 a) Perform ANOVA with SPSS and fill out the following table Between Groups Within Groups Total Sum of Square df mean Square F Sig Table 1: ANOVA Run the analysis of variance. Report the F statistic with its degrees of freedom and P-value. What do you conclude? [25]