Question

#1: Food scientists and nutritionists at the Sale Mart Supermarket chain want to estimate the true mean cholesterol content in their house brand blocks of Colby Jack cheese. Industry standards indicate that the population standard deviation is 2.5 mg. Determine the minimum sample size necessary to estimate to within 0.5 mg of the true population mean and with 95% confidence.

(a) 95 (b) 96 (c) 97 (d) 98    (e) None of these answers

#2: Food scientists and nutritionists at the Sale Mart Supermarket chain want to estimate the true proportion of consumers who favor irradiation (e.g., microwaving red meat food products to kill food borne disease microbes) as an acceptable practice. In a preliminary survey, 32 of 50 consumers favored the practice. How many consumers must be surveyed to make this estimation of those favoring this practice within 0.10, or 10%, of the true population proportion and with 99% confidence?

(a) 150 (b) 151    (c) 152    (d) 153

(e) None of these answers

For Problems #3 through #10, consider the following scenario: Food scientists and nutritionists at the Sale Mart Supermarket chain are affirming that the sodium contents of their house brand frosted flakes cereal are equivalent to the levels they advertise, or is it different from what is reported. The company’s cereal packaging claims the mean sodium content per serving for its frosted flakes is 225 mg. A random sample of 25 servings was tested and the following results were found: the sample mean was 218 mg and the sample standard deviation was 25 mg. At the 16% level of significance, is the claim reasonable?

#3: What specific inferential statistics best describes this context?

(a) Correlation and regression

(b) Analysis of variance

(c) Hypothesis testing (large sample, population standard deviation known)

(d) Hypothesis testing (small sample, population standard deviation unknown)

(e) None of these answers

#4: What is the null hypothesis?

(a) H0 : µ = 218 (b) H1:µ = 218    (c) H0 :µ = 225    (d) H1: µ = 225

(e) H0 : µ ≠ 218 (f) H1: µ ≠ 218 (g) H0 : µ ≠ 225 (h) H1: µ ≠ 225

(i) H0 : µ < 218    (j) H1: µ < 218 (k) H0 : µ < 225    (l) H1: µ < 225

(m) H0 : µ > 218    (n) H1: µ > 218    (o) H0 : µ > 225    (p) H1: µ > 225

(q) None of these answers  

#5: What is the alternative or research hypothesis?

(a) H0 : µ = 218 (b) H1:µ = 218    (c) H0 :µ = 225    (d) H1: µ = 225

(e) H0 : µ ≠ 218 (f) H1: µ ≠ 218 (g) H0 : µ ≠ 225 (h) H1: µ ≠ 225

(i) H0 : µ < 218    (j) H1: µ < 218 (k) H0 : µ < 225    (l) H1: µ < 225

(m) H0 : µ > 218    (n) H1: µ > 218    (o) H0 : µ > 225    (p) H1: µ > 225

(q) None of these answers

#6: What type of graphical configuration or testing arrangements corresponds to this context?

(a) No-tailed test

(b) Two-tailed test

(c) Left or lower tailed test

(d) Right or upper tailed test

(e) None of these answers

#7: What is the value of the test statistic that corresponds to this sample data?

(a) z=+1.5

(b) z=+1.4

(c) z=−1.4

(d) z=−1.5

(e) t =+1.5

(f) t =+1.4

(g) t =−1.4

(h) t =−1.5

(i) None of these answers

#8: What is the appropriate critical value or cut-off score for the rejection region(s), rounded to the nearest hundredth?

(a) z=±1.45

(b) z=±1.41

(c) z=−1.45

(d) z=−1.41

(e)t =±1.45

(f) t =±1.41

(g) t =−1.45

(h) t =−1.41

(i) t =±1.83

(j) t =±1.02

(k) t =+1.45

(l) t =+1.41

(m) None of these answers

#9: What is the most appropriate interpretive or contextual conclusion?

(a) The claim that the mean sodium content equals 225 mg is (marginally) reasonable at the 16% level of significance and based on the available evidence; the labeling on the cereal boxes is acceptable.

(b) The claim that the mean sodium content equals 225 mg is (marginally) unreasonable at the 16% level of significance and based on the available evidence; the labeling on the cereal boxes is acceptable.

(c) Reject the null hypothesis

(d) Accept the alternative hypothesis

(e) None of these answers

#10: What is the corresponding p-value?

(a) 0.080757

(b) 0.160000

(c) 0.161513

(d) 0.174308

(e) 0.087154

(f) 0.840000

(g) 0.838487

(h) 0.825692

(i) None of these answers    

Answer 1