Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value \( t_{\alpha / 2} \), (b) find the critical value \( z_{\alpha / 2} \), or (c) state that neither the normal distribution nor the t distribution applies.Here are summary statistics for randomly selected weights of newborn girls: - Sample size (\( n \)) = 279- Mean (\( \bar{x} \)) = 30.3 hg- Standard deviation (\( s \)) = 7.2 hgThe confidence level is 95%.Select the correct choice below and, if necessary, fill in the answer box to complete your choice:- A. \( t_{\alpha / 2} = \, \underline{\hspace{1cm}} \) (Round to two decimal places as needed.) - B. \( z_{\alpha / 2} = \, \underline{\hspace{1cm}} \) (Round to two decimal places as needed.) - C. Neither the normal distribution nor the t distribution applies.This exercise aims to determine which statistical approach should be used to construct the confidence interval based on the given data and confidence level.

Given that Sample size n = 279 Sample mean = 30.3 Sample Sd = 7.2 Confidence level = 95%

Answered: Assume that we want to construct a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 85 weekly reports showed a sample mean of 18.5 customer contacts per week. The sample standard deviation was 5.4. Provide 90% and 95% confidence intervals for the population mean number of weekly customer contacts for the sales personnel. 90% confidence interval, to 2 decimals: 95% confidence interval, to 2 decimals:
Mrs. Gallas wanted to estimate the average weight of an Oreo cookie to determine if theaverage weight was less than advertised. She selected a random sample of 30 cookies andfound the weight of each cookie (in grams). The mean weight was = 11.1921 grams with astandard deviation of sx = 0.0817 grams. Make a 95% confidence interval to estimate the truemean weight of an Oreo. 1. What is the formula for calculating the standard deviation of the sampling distribution of x? 2.What condition must be met to use this formula? Has it been met?
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value to/2, (b) find the critical value Zu/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, o is not known, and the histogram of 64 player salaries (in thousands of dollars) of football players on a team is as shown. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. /2² (Round to two decimal places as needed.) OB. Z/2 = (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. ← Frequency 40- 30- 20- 10- ó 4000 8000 12000 16000 20000 Salary (thousands of dollars) G
Aisha wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 72 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 6.5 and a standard deviation of 2.7. What is the 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Assume the data is from a normally distributed population. Round answers to 3 decimal places where possible.
Lian wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 7.1 and a standard deviation of 1.3. What is the 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Assume the data is from a normally distributed population. Round answers to 3 decimal places where possible. 6.824 x < μ<
Jose wants to advertise how many chocolate chips are in each Big Chip cookie at his bakery. He randomly selects a sample of 52 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 19.5. The population standard deviation is 2.5. What is the 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Assume the data is from a normally distributed population.Round answers to 3 decimal places where possible.
A sample of 32 people were randomly selected from among the workers in a shoe factory. The time taken for each person to polish a finished shoe was measured. The sample mean was 3.10 minutes. Assume σ = 0.94 minutes. Construct a 90% confidence interval for the true mean time, µ, to polish a shoe. Write down which table and critical value you used. Make sure you round your interval numbers correctly and circle your answer.
Isabella wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 62 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 7.8 and a standard deviation of 1.3. What is the 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Assume the data is from a normally distributed population. Round answers to 3 decimal places where possible.
A researcher collected sample data for 10 women ages 18 to 24. The sample had a mean serum cholesterol level (measured in mg/100 mL) of 188.4, with a standard deviation of 5.7. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 99% confidence interval for the mean serum cholesterol level of all women in this age group. Then find the lower limit and upper limit of the 99% confidence interval.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS