You have taken a random sample of size n=85 from a normal population that has a population mean of μ = 120 and a population standard deviation of a = 19.Your sample, which is Sample 1 in the table below, has a mean of x = 121.8. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.)(a) Based on Sample 1, graph the 75% and 95% confidence intervals for the population mean. Use 1.150 for the critical value for the 75% confidenceinterval, and use 1.960 for the critical value for the 95% confidence interval. (If necessary, consult a list of formulas.)S4S5S6S7S1 121.8S2S3S8S9$10S11S12S13S14$15S16S17S18• Enter the lower and upper limits on the graphs to show each confidence interval. Write your answers with one decimal place.• For the points (and), enter the population mean, μ = 120.S19111.0S20111.0x75% confidence interval120.5XGenerate Samples130.0130.0Ś(b) Press the "Generate Samples" button below to simulate taking 19 more samples of size n=85 from the population. Notice that the confidenceintervals for these samples are drawn automatically. Then complete parts (c) and (d) below the table.75% 75% 95% 95%lower upper lower upperlimit limit limit limit????111.0H+H|+++111.0111.075% confidence intervals95% confidence interval+||||||||120.5H+++130.0 111.0XH+H.130.095% confidence intervals5130.0|||||||||||130.0 19(c) Notice that for =95% of the samples, the 95% confidence interval contains the population mean. Choose the20correct statement.When constructing 95% confidence intervals for 20 samples of the same size from the population, at most 95% ofthe samples will contain the population mean.When constructing 95% confidence intervals for 20 samples of the same size from the population, it is possible thatmore or fewer than 95% of the samples will contain the population mean.When constructing 95% confidence intervals for 20 samples of the same size from the population, exactly 95% ofthe samples will contain the population mean.(d) Choose ALL that are true.If there were a Sample 21 of size n=170 taken from the same population as Sample 10, then the 95% confidenceinterval for Sample 21 would be narrower than the 95% confidence interval for Sample 10.The 75% confidence interval for Sample 10 is narrower than the 95% confidence interval for Sample 10. This iscoincidence; when constructing a confidence interval for a sample, there is no relationship between the level ofconfidence and the width of the interval.The 95% confidence interval for Sample 10 does not indicate that 95% of the Sample 10 data values are between115.3 and 123.3.From the 75% confidence interval for Sample 10, we know that there is a 75% probability that the populationmean is between 116.9 and 121.7.None of the choices above are true.

Answered: Image /qna-images/answer/a3f0e974-3af4-4c92-bbec-4fc6b76e4f6d.jpg

Answered: You have taken a random sample of size…

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

A researcher obtained the following results for a study: n = 44, SSy = 340603, SSx = 33712, B̂ = 2.0025 Find the correlation for these results?
While performing searches on the Internet to find accommodation, Jasmine realized that the cost of a housing unit seems to be related to the number of inhabitants of the municipality where the unit is located. She noted the following data. She represented the data in a scatter plot, where she drew a line of best fit passing through the mean point of the distribution. If Jasmine considers that a linear correlation exists between these two variables, what should be the mean monthly rent of a 4½-room unit in a municipality with a population of approximately 250 000? Justify your answer algebraically.
A researcher at a large company has collected data on the beginning salary and current salary of 50 randomly selected employees. The correlation between the data sets is r = 0.912. The summary statistics from the data collected are shown bellow: Beginning Salary Ending Salary Mean x¯=56,340 y¯=82,070 Standard deviation Sx = 5,470 Sy = 7,800 Use a complete sentence to describe the strength and direction of the linear relationship between beginning salary and current salary. Find the equation of the least-squares regression line. (Round to two decimal places)
If N = 150, (A) = 93, (B) = 112, (C) = 80, (BC) = 20 and (Ay) = 43, find the greatest and the least possible values of (AB) so that the data may be consistent.
Example 4: The average cholesterol level for a random sample of 25 adult women is 263 units with a standard deviation of 43 units. From previous study, it is known that the population is normally distributed with a standard deviation of 40 units. Find a 90% C.I for the mean cholesterol level for all adult women in the population.
A set of n=15 pairs of scores (x and y values) has Ssx =200, Ssy=60, and Sp=30.What is the Pearson correlation for these data?
A standardized test is given to a sixth-grade class. Historically the mean score has been 151 with a standard deviation of 21. The superintendent believes that the standard deviation of performance may have recently decreased. She randomly sampled 23 students and found a mean of 161 with a standard deviation of 18.2898. Is there evidence that the standard deviation has decreased at the α=0.05 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?
A researcher collects data from 65 people to see if there is a relation between anxiety and memory in high school students. The researcher finds the following descriptive statistics: Xbar= 25.5, sX = 4.3, Ybar = 15.6, sY = 3.2, SSX = 198.4, SSY = 1152.3, and SP = 220.4. Test for a significant relation at α =0.05.
Deandre is in his first semester at a certain university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score. Among all of the students in the course, the mean of the exam was 67 with a standard deviation of 3. Deandre scored a 62 on this exam. (a) Find the z-score of Deandre's exam score relative to the exam scores among all the students in the course. Round your answer to two decimal places. z=0 (b) Fill in the blanks to interpret the z-score of Deandre's exam score. Make sure to express your answer in terms of a positive number of standard deviations. Deandre's exam score was standard deviations (Choose one) ▼ the mean exam score among all students in the course. Calendar ... 80 F3 F4 F6 F7 F8 F9 F10 F11 云
A correlation study provides the following data: r = -.74 and the study involved 62 participants What is the effect size? NOTE: Please only report the number (and as always, do not Hl markvour ans wer as invalid)
The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days.In what range would you expect to find the middle 95% of most pregnancies?Between and .If you were to draw samples of size 55 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample?Between and .

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