Question

D Recipes (Bonbon C... * Bookmarks Question 4 15 pts 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 interpreta 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. = 346 (Use the form XXX b.s = 176 (Use the form XXX cn= 33 (Use the form XX d.ox= 30.64 (Use He form Xxxx ea 0.10 (Use the form XXX fa/2= 0.05 (Use the form X 8. df - 32 (Use the form XX h.taz= 0.025 (Use the form XXX .Lower Bound - 2940 (Use the form XXXX) j. Upper Bound = 397.9 (Use the form XXX k We have 90 % confidence that the interval from 294.0 (lower bound) to 397.9 (upper bound) actually does contain the o Type here to search

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Answer 1

Answers :

$a. \overline{X}$= 346

b. S = 176

c . n = 33

d ..$\sigma _{\overline{X}}$ = 30.64

$e.\: \alpha = 0.10$

$f.\: \alpha/2 = 0.05$

g. $t_{\alpha /2} =$ 1.694

h. df = 32

i. Lower bound = 294.10

j. Upper bound = 397.9

k. We are 90% confident that the interval from 294.10 to 397.9 actually does not contain the

The detailed solution is given in the attached file.Hope this helps.

tut to Number al 346 of licks required, (sample mian) (samples (sample size) S 176 std deviation C 33 d) of s vñ 176 133 - 30-6376 6 x 30.64 e) KE 0.10 level= 90%=0.90 confidence :.2=0.10_1 Csince con

f) 112.-0.05 (47011 33 912 = 0;20.05 2 g) df a n-1 = 33-1 = 32 for t-test statistic for son sample the degrees of freedom ide -single is n-1 df 32 = 1.694 Thee df=32 and a=0+ 6) tatry = tandata = tdfuata t_3220.05 tai2=1:696 Lower bound (x- taux G) et 340 - 1.694 x 30-6376 51.90. 3 (294.10) = (346 Lower Bound 294-10 j) Upper bound = (X + taxa X67) (346 + 1.694X30:6376 C346 + 51.90) 397.9 Lepper bound - 397.9 We have 20% confidenter that the internal 294.10 lover blousalto 139709|apur boula) actually does not contain the true meant Azom