Student Full Name: . Student ID: . CRN No: . Branch: . STATISTICS (STAT-101) Total Points True/False /5 MCQ /5 Short Answer /15 Total /25 Good Luck STATISTICS (STAT-101) Marks- 25 Answer all the Questions on the same question paper. Section-I State whether the following statements are True or False. (5 marks, 1 Mark Each) 1. If P-value less then the significance level , fail to reject null hypothesis . 2. A Type I error is rejecting a true null hypothesis. 3. The Student t distribution when is not known and either the population is normally distributed or n > 30, conditions is satisfied. 4. If we have more than 10 matched pairs of sample data, we can consider the sample to be large and there is no need to check for normality. 5. A claim that two population proportions are equal, each of the two samples must satisfy the requirement that np 5 and nq 5. Section-II (Multiple Choice Questions) (5 marks, 1 Mark Each) 1. Consider the claim that the mean weight of airline passengers (including carry-on baggage) is at most 195 lb expressed as symbolic form: A. 195 lb. B. > 195 lb. C. = 195 lb. D. < 195 lb. Page 2 of 4 2. Correct characterize a null hypothesis H0 and alternative hypothesis H1 test as two-tailed : A. H0: = , H1: B. H0: = , H1: C. H0: = , H1: < D. H0: = , H1: = 3. Which statement is incorrect? A. The null hypothesis contains the equality sign. B. When a false null hypothesis is not rejected, a Type II error has occurred. C. If the null hypothesis is rejected, it is concluded that the alternative hypothesis is true. D. If we fail to reject the null hypothesis, then it is proven that null hypothesis is true. 4. Sample sizes n1 = 100, n2 = 100 and numbers x1 = 39, x2 = 41 of successes to find the pooled estimate pp . A. 0.400 B. 0.800 C. 0.360 D. 0.440 5. Which statement is incorrect? A. F-distribution for two normally distributed populations with equal variance. B. F-distribution can be negative. C. The F-distribution is not symmetric. D. F-distribution depends on the two different degree of freedom. Part-II (Multiple Choice Questions) MCQ 1 2 3 4 Answers (5 marks, 1 Mark Each) 5 Section -III Answer the following Essay Type Questions (15 marks, 5 Mark Each) 1. The overtime rule in the national football league report that among 414 football games won in overtime, 235 were won by the team that won the coin toss at the beginning of overtime. Using a 0.05 significance level, test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it. 2. Listed below are the heights(inches) for the simple random sample of supermodels Lima, Bundchen, Ebanks, Iman, Rubik, Kurkova, Kerr, Kroes, and Swanepoel. Use a 0.01 significance level to test the claim that supermodels have heights with a mean that a greater than the mean height of 63.8 in. for women in the general population. Given that there are only 10 heights represented, can we really conclude that supermodels are taller than the typical woman? 70 71 69.25 68.5 69 70 71 70 70 69.5 3. The table show the number satisfied in their work in a sample of working adults. With a college education and in a sample of working adults without a college education. Do the data provide sufficient evidence that a greater proportion of those with a college education are satisfied in their work? Use a significance level of = 0.05 to test the claim that p1 < p2. college education No. satisfied in their work No. in sample 12 46 no college education 27 43