Answered: Statistics calculated from a sample of… | bartleby

MATLAB: An Introduction with Applications

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

Related questions

Question

Statistics calculated from a sample of 17 observations are:

\[
\sum_{i=1}^{17} x_i = 1277
\]

\[
\sum_{i=1}^{17} x_i^2 = 103225
\]

Provide the following, rounding your answers to two decimal places.

(a) Find the sample mean. [Input Box]

(b) What is the sample standard deviation? [Input Box]

(c) Assume that the population distribution is normal. Find a 95% confidence interval for the population mean. (\[ \, \], \[ \, \]) [Input Boxes]

**The waiting time to get food at a fast-food restaurant is 4.5 minutes on average with a standard deviation of 2 minutes. Suppose that a sample of 45 customers is randomly selected.**

---

**A. What are the mean and standard deviation of the sample mean waiting time of 45 customers?**

- **Mean =** 4.5 minutes

- **Standard Deviation** (standard error of the mean) = 0.29814 minutes
- *Round standard error to 5 decimal places.*

---

**B. What is the probability that the average waiting time of 45 customers is less than 4.3 minutes?**

- **Answer:**
- *Round to 4 decimal places.*

---

**C. What is the probability that the average waiting time of 45 customers is greater than 4.7 minutes?**

- **Answer:**
- *Round to 4 decimal places.*

---

**D. What is the probability that the average waiting time of 45 customers is between 4.3 and 4.7 minutes?**

- **Answer:**
- *Round to 4 decimal places.*

---

There are no graphs or diagrams in this document. The content focuses on calculations related to the statistics of waiting times in a fast-food restaurant context.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation? 14 14 12 15 The range of the sample data is 18 hurricanes. (Round to one decimal place as needed.) The standard deviation of the sample data is (Round to one decimal place as needed.) 16 15 18 20 6 2 17 10 4 8
Identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sample variance; (d) population variance. a. The symbol for sample standard deviation is b. The symbol for population standard deviation is c. The symbol for sample variance is d. The symbol for population variance is
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=21.4. You would like to be 98% confident that your estimate is within 5 of the true population mean. How large of a sample size is required?
Consider the following data: x 4 5 6 7 8 P(X = x) 0.2 0.2 0.1 0.2 0.3 Step 3 of 5: Find the standard deviation. Round your answer to one decimal place. Copy Data
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
The results of a certain medical test are normally distributed with a mean of 123 and a standard deviation of 20. Convert the given results into z-scores, and then use the table below to find the percentage of people with readings between 151 and 171. z-score Percentile z-score Percentile 1.0 84.13 2.1 98.21 1.1 86.43 2.2 98.61 1.2 88.49 2.3 98.93 1.3 90.32 2.4 99.18 1.4 91.92 2.5 99.38 -C 1.5 93.32 2.6 99.53 The percentage of people with readings between 151 and 171 is %. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.) 1.6 94.52 2.7 99.65 1.7 95.54 2.8 99.74 1.8 96.41 2.9 99.81 1.9 97.13 3.0 99.87 2.0 97.72 3.5 99.98
Consider the following data: −10, −10, 0, 3, −10, 3, 3 Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=51.3. You would like to be 98% confident that your estimate is within 10 of the true population mean. How large of a sample size is required?
You want to obtain a sample to estimate a population mean age. Based on previous evidence, you believe the population standard deviation is approximately o = 2.3 years. You would like to be 95% confident that your estimate is within 0.75 years of the true population mean. What is the smallest sample size you can use? The smallest possible sample has members.
A researcher is interested in finding a 90% confidence interval for the mean number of times per day that college students text. The study included 149 students who averaged 34.2 texts per day. The standard deviation was 18.6 texts. Round to 3 decimals. b. With 90% confidence the population mean number of texts per day is between _______ and ________ texts a day.
Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2018 and 2019 are as follows: 72 76 77 Mean 2019 Season: 69 68 73 75 a. Use the mean (to the nearest whole number) and standard deviation (to 2 decimals) to evaluate the golfer's performance over the two-year period. 2018 Standard deviation Mean 2019 2018 Season: Standard deviation b. What is the primary difference in performance between 2018 and 2019? - Select your answer - What improvement, if any, can be seen in the 2019 scores? - Select your answer - 75 75 73 71 83 78 73 75 69 77

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

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

SEE MORE TEXTBOOKS