In order to update its export policy, a Colombian company needs new information on the US sales of its suntan and sun protection lotions, products made with ingredients that issue from organic farming. The marketing manager disposes of a sample of 45 values collected over the past 30 months. The sample’s mean is $58,249. The statistics of the past 20 years show a standard deviation of $3,851. a. Using this sample, determine a 95% and a 90% confidence interval for the mean US sales. What is the required sample size, if you want the error in your estimate to be at most $900, with a level of confidence of 95%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Topic Video
Question

Detailed explanation 

  1. In order to update its export policy, a Colombian company needs new information on the US sales of its suntan and sun protection lotions, products made with ingredients that issue from organic farming. The marketing manager disposes of a sample of 45 values collected over the past 30 months. The sample’s mean is $58,249. The statistics of the past 20 years show a standard deviation of $3,851. a. Using this sample, determine a 95% and a 90% confidence interval for the mean US sales.
  2. What is the required sample size, if you want the error in your estimate to be at most $900, with a level of confidence of 95%?
3. In order to update its export policy, a Colombian company needs new information on the US sales of
its suntan and sun protection lotions, products made with ingredients that issue from organic farming.
The marketing manager disposes of a sample of 45 values collected over the past 30 months. The
sample's mean is $58,249. The statistics of the past 20 years show a standard deviation of $3,851. a.
Using this sample, determine a 95% and a 90% confidence interval for the mean US sales.
b. What is the required sample size, if you want the error in your estimate to be at most $900, with a
level of confidence of 95%?
Transcribed Image Text:3. In order to update its export policy, a Colombian company needs new information on the US sales of its suntan and sun protection lotions, products made with ingredients that issue from organic farming. The marketing manager disposes of a sample of 45 values collected over the past 30 months. The sample's mean is $58,249. The statistics of the past 20 years show a standard deviation of $3,851. a. Using this sample, determine a 95% and a 90% confidence interval for the mean US sales. b. What is the required sample size, if you want the error in your estimate to be at most $900, with a level of confidence of 95%?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill