A research company desires to know the mean consumption of milk per week among people over age 20. They believe that the milk consumption has a mean of 4.5 liters, and want to construct a 99% confidence interval with a maximum error of 0.09 liters. Assuming a standard deviation of 1.2 liters, what is the minimum number of people over age 20 they must include in their sample? Round your answer up to the next 33. integer. Answer:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question
#33
### Probability and Statistical Analysis Problems

#### 31. Probability of Sample Mean Weight Less Than 4132 grams

If 128 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 4132 grams? Round your answer to four decimal places.

**Answer: _______________**

#### 32. Estimating Proportion of Direct Mail Purchasing

A direct mail company wishes to estimate the proportion of people on a large mailing list that will purchase a product. Suppose the true proportion is 0.07.

If 213 are sampled, what is the probability that the sample proportion will be less than 0.05? Round your answer to four decimal places.

**Answer: _______________**

#### 33. Constructing a Confidence Interval for Mean Milk Consumption

A research company desires to know the mean consumption of milk per week among people over age 20. They believe that the milk consumption has a mean of 4.5 liters, and want to construct a 99% confidence interval with a maximum error of 0.09 liters. Assuming a standard deviation of 1.2 liters, what is the minimum number of people over age 20 they must include in their sample? Round your answer up to the next integer.

**Answer: _______________**

#### 34. Value of t for Given Area Under Curve

Consider the value of t such that 0.1 of the area under the curve is to the right of t.

**Step 1:** Select the graph which best represents the given description of t.

---

**Note:** The document mentions selecting a graph to represent the area under the curve for problem 34, but does not provide the graph. When studying this type of problem, ensure you understand how to interpret and select graphs that depict areas under the curve corresponding to various t-values within the context of statistical distributions.
Transcribed Image Text:### Probability and Statistical Analysis Problems #### 31. Probability of Sample Mean Weight Less Than 4132 grams If 128 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 4132 grams? Round your answer to four decimal places. **Answer: _______________** #### 32. Estimating Proportion of Direct Mail Purchasing A direct mail company wishes to estimate the proportion of people on a large mailing list that will purchase a product. Suppose the true proportion is 0.07. If 213 are sampled, what is the probability that the sample proportion will be less than 0.05? Round your answer to four decimal places. **Answer: _______________** #### 33. Constructing a Confidence Interval for Mean Milk Consumption A research company desires to know the mean consumption of milk per week among people over age 20. They believe that the milk consumption has a mean of 4.5 liters, and want to construct a 99% confidence interval with a maximum error of 0.09 liters. Assuming a standard deviation of 1.2 liters, what is the minimum number of people over age 20 they must include in their sample? Round your answer up to the next integer. **Answer: _______________** #### 34. Value of t for Given Area Under Curve Consider the value of t such that 0.1 of the area under the curve is to the right of t. **Step 1:** Select the graph which best represents the given description of t. --- **Note:** The document mentions selecting a graph to represent the area under the curve for problem 34, but does not provide the graph. When studying this type of problem, ensure you understand how to interpret and select graphs that depict areas under the curve corresponding to various t-values within the context of statistical distributions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
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
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman