Question

Please read the following prompt carefully: "A Tootsie Pop is a lollipop with a chocolate center. A famous commercial asked, "How many licks to the center of a Tootsie Pop?" In an attempt to answer this question, a competitor asked 33 randomly selected individuals to count the number of licks required before reaching the chocolate center. The mean number of licks required was 346 with a standard deviation of 176. Find and interpret a 90% confidence interval for the mean number of licks required to reach the chocolate center of a Tootsie Pop." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided. a. X = (Use the form XXX) b.s= (Use the form XXX)

Answer 1

= The provided sample mean is Ž = 346 and the sample standard deviation is s 176. The size of the sample is n = 33 and the required confidence level is 90%. The number of degrees of freedom are df = 33 – 1 = 32, and the significance level is a = 0.1. Based on the provided information, the critical t-value for a = 0.1 and df 0.1 and df = 32 degrees of freedom is tc 1.694. - The 90% confidence for the population mean u is computed using the following expression CI = ( x = (* te XS vn X + te x s vn 2 Therefore, based on the information provided, the 90 % confidence for the population mean u is 1.694 x 176 1.694 x 176 CI = 346 346 + 33 V33 - (346 – 51.897, 346 + 51.897) = (294.103, 397.897)

We are 90% confident that the interval from 291.103 to 397.897 actually contain the true value for mean number of licks required to reach the chocolate center of tootsie pop.