Katie Hughes 2/28/18 6:03 PM Quiz: Unit 2 Quiz (Ch 5 and 6)- 17 questions Tine R
ID: 3051773 • Letter: K
Question
Katie Hughes 2/28/18 6:03 PM Quiz: Unit 2 Quiz (Ch 5 and 6)- 17 questions Tine Remalning:(0 56 3 Su0emas a This Question: 1 pt 130f 17 (7 complete) 1> This Quiz: 17 pts possi You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals. A random sample of 50 gas grills has a mean price of $63280. Assume the population standard deviation is $56.70. The 90% confidence interval is Round to one decimal place as needed) The 95% confidence interval is ) Round to one decimal place as needed) Which interval is wider? Choose the correct answer below O The 90% confidence interval The 95% confidence interval 04 9: sar You Click to select your answer(s) N Online Sing 1& GRN 22608) s based on Larson Elementary Statistics Picturing the World. 6eExplanation / Answer
CI for 90%
n 50
mean 632.8
z-value of 90% CI 1.6449
std. dev. 56.7
SE = std.dev./sqrt(n) 8.01859
ME = z*SE 13.18941
Lower Limit = Mean - ME 619.61059
Upper Limit = Mean + ME 645.98941
90% CI (619.6106 , 645.9894 )
The 90% confidence interval is = 619.6 - 645.9
CI for 95%
n 50
mean 632.8
z-value of 95% CI 1.9600
std. dev. 56.7
SE = std.dev./sqrt(n) 8.01859
ME = z*SE 15.71615
Lower Limit = Mean - ME 617.08385
Upper Limit = Mean + ME 648.51615
95% CI (617.0839 , 648.5161 )
The 95% confidence interval is = 617.1 - 648.5 =
For 90% confidence interval is = 645.9- 619.6 = 26.3
For 95% confidence interval is = 648.5- 617.1 =31.4
The 95% CI is wider
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