takke of areas under the t-distnbubon.O B. The margin of error increases.O C. The margin of error does not change.c) Construct a 99% confidence interval about u it the sample size, n, is 35.Lower bound: : Upper bound:(Use ascending order. Round to two decimal places as rneeded)Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?O A. The margin of error decreases.O B. The margin of error does not change.O C. The margin of error increases(d) If the sample size is 16, what conditions must be satisfied to compute the confidence interval?O A. The sampie data must come from a population that is normaly distributed with no outliers.O B. The sample must come from a population that is normally distributed and the sample size must be large.O C. The sample size must be large and the sample should not have any outliers.Statcrunch A simple random sample of size n is drawn. The sample mean, x, is found to be 18.7, and the sample standard deviation, s, is found to be 4.5.Click the icon to view the table of areas under the t-distribution(a) Construct a 95% confidence interval about u if the sample size, n, is 35.Upper bound:(Use ascending order. Round to two decimal places as needed.)Lower bound:(b) Construct a 95% confidence interval about u if the sample size, n, is 61.Lower bound: : Upper bound:(Use ascending order. Round to two decimal places as needed.)How does increasing the sample size affect the margin of error, E?O A. The margin of error decreasesO B. The margin of error increases.O C. The margin of error does not change(c) Construct a 99% confidence interval about u if the sample size, n, is 35Lower bound: : Upper bound:(Use ascending order. Round to two decimal places as needed.)Statcrunch

Answered: Image /qna-images/answer/a64b70f3-2163-4877-b590-a2d0d7a1bc8a.jpg

Answered: A simple random sample of size n is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Now change the 'Normal' choice to 'Exponential' This changes the underlying population from one that has a normal distribution to one that is very not normal. Change the sample size to 5 and run samples. a. How well do the 95% confidence intervals do at capturing the true population mean when samples sizes are small? b. Now change the sample size to 40 and run samples. Does a larger sample size mean that the intervals are more likely to capture the true population value? Why? Note THIS is an important concept and relates back to the Sampling Distribution of Sample Means and how the SDSM changes as sample size increases when the population is not normal.
The distribution of study times for first-year students follow a Normal distribution with a standard deviation σ = 48 minutes. Suppose a sample of 344 students found that the mean study time for these students was x¯= 170 minutes per week. Use this to find a 94.38% confidence interval to estimate the mean study time for all students. We are 94.38% confident that the mean study time for first-year students is between the following ( answer) minutes and ( answer) minutes. The answer needs to be the mean study time for first-year students is between what amount of minutes and the following minutes.
A poll was conducted that asked 1010 people how many books they had read in the past year. Results indicated that x= 10.5 books and s= 16.6 books. Construct a 99% confidence interval for the mean number of books people read. Click the icon to view the table of areas under the t-distribution. Construct a 99% confidence interval for the mean number of books people read. (Use ascending order. Round to two decimal places as needed.)
The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standard deviation of 3.8 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. Click the icon to view the data. a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette filters? Identify the null and alternative hypotheses. O B. Ho: H1 =H2 O C. Ho: H1 #H2 H1: H1 =H2 O A. Ho: H1 = H2 H:H1 H2 O F. Ho: H1 = H2 H1:H1> H2 H:H1=H2 Hq: H1…
C. Compute the test value D. Make a decision
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure. a. The test statistic is (Round to two decimal places as needed.) b. The P-value is (Round to three decimal places as needed.)
A poll was conducted that asked 1015 people how many books they had read in the past year. Results indicated that x= 14.3 books and s= 16.6 books. Construct a 90% confidence interval for the mean number of books people read. E Click the icon to view the table of areas under the t-distribution, Construct a 90% confidence interval for the mean number of books people read. ) (Use ascending order. Round to two decimal places as needed.)
The average score on a statistics test was 2.21 with a standard deviation of 0.88. The teacher suspects that the exam was very difficult; Based on the above, you want to adjust the scores so that the mean is 3.37 and the standard deviation is 0.25. Compute the values a and b such that the fit of type aX+b gives the desired mean and variance? Calculate: a= Answer b= Answer TIP: Use expected value and variance properties.
Cell Phone Lifetimes A recent study of the lifetimes of cell phones found the average is 23.8 months. The standard deviation is 5.8 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population, and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator. Round your answer to at least four decimal places. <PX23.8)=
K In a random sample of eleven people, the mean driving distance to work was 22.3 miles and the standard deviation was 4.9 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. O B. % of all random samples of eleven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. OC. With % confidence, it can be said that most driving distances…
An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). ... Question content area top right Part 1 μ n x s No candy μ1 36 18.61 1.39 Two candies μ2 36 21.26 2.34 * find the t stat * find the p value * State the conclusion * Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
A standardized test for graduate school admission has a mean score of 159 with a standard deviation of 8 and a unimodal, symmetric distribution of scores. A test preparation organization teaches small classes of 4 students at a time. A larger organization teaches classes of 64 at a time. Both organizations publish the mean scores of all their classes. A mean score of 167 is SD _____ above the mean for the smaller organization, and ______ SD above the mean for the larger organization. It is more likely that the smaller organization will have that success.

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