At Western University the historical mean of scholarship examination scores for freshmanapplications is 900. A historical population standard deviation = 180 is assumed known.Each year, the assistant dean uses a sample of applications to determine whether the meanexamination score for the new freshman applications has changed.a. State the hypotheses.Ho:0:equal to 900Ha: not equal to 900b. What is the 95% confidence interval estimate of the population mean examination score if asample of 200 applications provided a sample mean of = 935 (to the nearest wholenumber)?c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistantdean conclude that the mean examination score for the new freshman applications haschanged?- Select your answer -d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)

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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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A. Find the sample mean B. Find the sample standard deviation C. Construct a 98% confidence interval for the population mean (Please what numbers you are putting into the formula, therefore I can understand)
3. Given the following GPA for 4 students: 2, 3, 3, 4. Age of students are: 10, 11,12, 15. There are 10,000 total students. Average GPA: Unknown, StandardDeviation of GPA: 0.02 and it’s Normal.a. Find the mean and standard deviation for GPA.b. Calculate a 95% confidence interval for the populations mean GPA.c. Use Correlation formula to find r between GPA and Age.d. Find Regression Line Equation.e. If a student’s age is 13, what is the corresponding GPA?
When the population standard deviation is unknown and the sample size is greater than 30, what table value should be used in computing a confidence interval for a mean? a. z b. t c. chi square d. standard deviation
a. interpret the corresponding 95% confidence intervals for both Birth weight and Age. b. What is the predicted average SBP of an infant born with birth weight 8lbs (128oz) measured at 3 days old? c. Calculate the Pearson correlation between Age and Birth weight, and test if this correlation is significant at the 0.05 level. Does this answer surprise you, why or why not?
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
Look at the picture
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
At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviationo = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. a. State the hypotheses. Ho: µ - Select your answer - Ha: µ - Select your answer b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean of E = 935 (to the nearest whole number)? C. Use the confidence interval to conduct a hypothesis test, Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? - Select your answer - d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)
A survey of 32,782 adults in 2004 indicated that 24.6% of adults were current smokers. A similar study conducted in 1995 of 40,000 adults indicated that 29.7% were current smokers. a. Find and interpret a point estimate of the difference between the proportion of current smokers in 1995, and the proportion of current smokers in 2004. b. A 95% confidence interval for the true difference is (-0.058,-0.045). Interpret. c. What assumptions must you make for the confidence interval i part b to be valid? (…) a. Find a point estimate of the difference between the proportion of current smokers in 1995 and the proportion of current smokers in 2004. (Round to three decimal places as needed.)
ACT scores are normally distributed with mean 22 and standard deviation 4.7. A random sample of 32 MiSU students has a mean ACT of 23.6. A. Estimate the mean ACT score for all MiSU students at the 95% confidence level. B. If we want to estimate the mean ACT score for all MiSU students at the 99% confidence level with a margin of error of 10, then what sample size will we need?
1. Find the sample standard deviation from the following data. 1420,1223,988,694,730,836,721,742,541,623,1449,950 2., Construct a 99%confidence interval for the population mean μ.

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