**Text Transcription and Explanation for Educational Website:**---The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.**Data:** 68.06, 79.92, 68.96, 84.63, 79.47, 86.15, 101.89, 98.73 *Note:* Click the icon to view the table of critical t-values.**Task (b):** Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.Select the correct choice below and fill in the answer boxes to complete your choice. *(Round to two decimal places as needed.)*- **A.** There is a ___% probability that the mean travel tax for all cities is between $___ and $___. - **B.** One can be ___% confident that the mean travel tax for all cities is between $___ and $___. - **C.** The travel tax is between $___ and $___ for ___% of all cities. - **D.** One can be ___% confident that all the cities have a travel tax between $___ and $___.**Graph and Diagram Explanation:**There are no explicit graphs or diagrams mentioned in the transcription. However, the reference to a "normal probability plot" and a "boxplot" suggests that earlier in the process, these visual tools might have been used to determine whether the data are normally distributed and whether there are any outliers.- **Normal Probability Plot:** This is typically a graphical technique to assess if a set of data follows a normal distribution. Data points are plotted against a theoretical normal distribution in such a way that the points should form an approximately straight line.- **Boxplot:** This is a standardized way of displaying the distribution of data based on a five-number summary ("minimum", first quartile (Q1), median, third quartile (Q3), and "maximum"). Boxplots can reveal outliers and show how the data is spread out.These tools underpin the confidence interval calculations by ensuring the assumptions of normality and the absence of outliers are met.--- This transcription and explanation provide clarity on the tasks

given data n = 8 data : 68.06,79.92,68.96,84.63,79.47,86.15,101.89,98.73x¯ = 83.48 [from…

Answered: The accompanying data represent the…

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

The average fruit fly will lay 421 eggs into rotting fruit. A biologist wants to see if the average wil be lower for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 429, 426, 402, 401, 393, 424, 426, 415, 416, 422, 414, 428 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The alternative hypothesis would be: H: 421 c. The test statistic - -1.358 (please show your answer to 3 decimal places.) d. Based on this, we should fail to reject e. Thus, the final conclusion is that... The data suggest that the population mean number of eggs that fruit fies with this gene modified wil the null hypothesis.
List and describe at least three characteristics of the normal distribution.Find an example of something that you would expect to be normally distributed and share it. Explain why you think it it normally distributed.Find an example of something that you would not expect to be normally distributed and share it. Explain why you think it would not be normally distributed.Find a web-based resource that is helpful in understanding the Normal Distribution.
The average fruit fly will lay 389 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 358, 388, 362, 382, 371, 385, 384, 393, 403, 389, 405 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho? Select an answer♥ H₁ PS Select an answer c. The test statistic ? (please show your answer to 3 decimal
The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 level of significance? Full data set O Carpeted 14.3 9.8 10.7 12.2 Uncarpeted 9.5 9.5 10.9 2.1 15 3 15.8 5.4 6.4 15.2 4.3 10.6 - X Student t-distribution Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 0.816 0.765 0.741 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 6.314 2.920 2.353 2.132 12.706 4.303 3.182 2.776 2.571 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.32 1 14.089 7453 5.598 318.309 636.619 31.599 12.924 8.610 6.869 22.327…
A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a=0.10. Complete parts (a) through (d). New Survey Frequency, f 111 97 Response Old Survey % Rewards 29% 23% Low rates Cash back Discounts Other 22% 108 8% 46 18% 63 UD. XX O D. X Xo 2 OC. X >Xo OC. X>x (c) Calculate the test statistic. (Round to three decimal places as needed.) %3D (d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. V the claimed or ▼enough evidence to conclude that the distribution of motivations Ho At the 10% significance level, there expected distribution.
The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. 68.04, 78.59, 68.11, 82.54, 80.06, 87.54, 100.71, 99.22 (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is (Round to two decimal places as needed.) Part 2 (b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. There is a enter your response here% probability that the mean travel tax for all cities is between $enter your response here and $enter your response here. B. One can be enter your response here% confident that the mean travel tax…
The graph of the normal distribution resembles a "bell" curve. True SAMSUNG & False C $ % * 0
The accompanying histogram shows the lengths of hospital stays (in days) for all female patients admitted to a certain hospital during one year with a primary diagnosis of acute myocardial infarction (heart attack). Complete parts (a) through (c) below. a) From the histogram, determine whether the mean or median is larger. Explain. A. Because the distribution is nearly symmetric, the mean is expected to be larger than the median. B. Because the distribution is nearly symmetric, the mean is expected to be about the same as the median. C. Because the distribution is skewed to the high end, the mean is expected to be larger than the median. D. Because the distribution is skewed to the high end, the mean is expected to be smaller than the median. E. Because the distribution is skewed to the low end, the mean is expected to be larger than the median. F. Because the distribution is skewed to the low end, the mean is expected to be…
A statistic is a measure that describes a population characteristic.
Describe how the mean, median, and mode uniquely identifies the center of a distribution.

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