Question 13 1.5 pts Suppose you want to calculate a 90% condence interval (CI) for the mean alcohol percentage in beers. Your friend collected a sample of 16 beers and calculated the 95% CI using the sample mean and sample standard deviation. You do not have access to the raw data, but you know the sample size and the lower and the upper bound that your friend calculated. Based on this you are trying to calculate the 90% CI. I. It is not possible to calculate the 90% CI without the raw data. II. It is not possible to calculate the 90% CI without knowing the sample mean and the sample standard deviation. lll. It is not possible to calculate the 90% CI without knowing the critical value used. Which of the above statements are FALSE? 0 (ll|)only O (llonlv O (ll)and (Ill) only 0 All of the statements are false. O (ll) only Question 14 0.5 pts TRUE or FALSE? When the true proportion is close to the boundary value, i.e. close to 0 or 1, a smaller sample size is needed for the Central Limit Theorem to take effect. 0 FALSE 0 TRUE Question 10 1 pts Suppose you want to construct a 95% confidence interval for the population mean fat content in hot dogs. You select 10 hot dogs randomly and find the mean fat content to be 21.9 with a standard deviation of 4.13. What is the width of your confidence interval assuming necessary conditions hold? O 5.91 O 4.79 O 5.12 O 5.82Question 4 1.5 pts A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. n sample mean sample SD Calculate 90% condence interval for the number of hours of sleep. 0 [6.91, 7.54] o [7.13, 7.43] o [6.97, 7.49] O [6.73, 7.34] Question 3 0.5 pts True/False: The larger the degrees of freedom of t-distribution, the more closely the distribution approximates the normal model. 0 True O False