**Research Summary:**Researchers surveyed 22 leading technical institutes and found that they averaged 1.1 suicides in the past year, with a standard deviation of 0.5. The nationwide average for all universities is 1.8 in the past year.**Analysis Questions:**a. **State and justify** (that is, explain why you chose) the sampling distribution you would use—z or t—and write down the critical region (α = .05, two-tailed).b. **Compute the appropriate test statistic.**

According to the given information in this question We need to answer two subparts

Answered: Researchers surveyed 22 leading…

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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The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $ 4.87 and a standard deviation of $ 0.05. A sample of 15 Bay Area gas stations are randomly chosen. We are interested in the average cost of gasoline for the 15 service stations. The distribution to use for the average cost of gasoline for the 15 service stations is: Select one: a. N (4.87, 0.0129) b. N (0.3247, 0.0006) c. N (4.87, 0.0033) d. N (4.87, 0.0002) e. N (0.3247, 0.0033)
The first three sub-parts (1, 2, & 3) are already solved.
Part C. Compute the sample mean and sample deviation.
In a survey of 20 patients who smoked, the following data were obtained. Each value represents the number of cigarettes the patient smoked per day. 10 8 6 14 22 13 17 19 5 16 11 9 18 14 13 12 15 15 11 11 Requirements: Construct a frequency distribution with an interval width of 3 then solve for the mean, median, mode, interquartile range, variance, standard deviation
A variable of a population has a mean of µ = 82 and a standard deviation of o = 9. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed O bimodal What is the mean of the sampling distribution? Hi = (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.) b. In answering part (a), what assumptions did you make about the distribution of the variable? A. It was assumed that the variable was normally distributed. B. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideratio
Suppose we wish to study the average income of Cactus Club customers, so we plan to conduct a research project with a 95% confidence level. We need our range of error (E) to be no greater than $500. Based on our past experience, we estimate the sample standard deviation to be $5,000. What sample size do you need in order to conduct the research? Select one: a. 372 b. 784 c. 824 d. 385 e. 196
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
B. Samples of size n were randomly selected from the population. The mean and the standard deviations of the population are given below. In each case, find the mean and the variance of the sampling distribution of the means. μ = 3; o = 1.3 1. n = 2; 2. n = 5; μ = 2.75; o = 3.5 3. n = 8; μ = 32; o = 7.9 n = 6; μ = 4.3; o = 1.9 4. 5. n = 2; μ = 1.5; o = 2
The ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n (sample size) sample mean ( ) population standard deviation West 33 25.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for the previous problem? (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311). Round your answer to 3 decimal places.
Find the probability of getting below one of the data points in the attached image

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