Determine if there is enough statistical evidence at the 1% significance level to infer from the followinginformation that the population means is less than 250.Sample average = 247 ; o=40 (population standard deviation); sample size = 400a) State the null and alternative hypothesisb) Determine if there is enough evidence to discard the null hypothesis

Given that: Sample average, x¯=247 Population standard deviation, σ=40 Sample size, n = 400…

Answered: Determine if there is enough…

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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2. University researchers claim that the average enrollment at four-year colleges is higher than two-year community colleges. Two surveys are undertaken at 35 four-year universities and 35 two-year colleges. The mean enrollment at the four-year institutions was 5,466 with a standard deviation of 8,191. The average enrollment at the two-year schools was 5,068 with a standard deviation of 4,777. Using a 95% confidence level, are the findings of the surveys consistent with the university researchers’ claim? 2. Does the null hypothesis reject H0 or fail to reject H0?
a. Identify the null and alternative hypotheses Choose the correct answer below
The president of an all-female school wants to know if the students at her school studied more or less, on average, than the students at a neighboring all-male school. To find out, she conducted a study. Accordingly, samples were taken at each school with the following results: All female: sample size = 43, mean study time ( hours) = 18.56, standard deviation (hours) = 4.35 All male: sample size = 38, mean study time (hours) =17.95, standard deviation (hours) = 4.87 Calculate the 95% confidence interval for the differences between population means. Use brackets write the final answer [x.xx, x.xx]
6. You randomly select and weigh 27 samples of an allergy medication. The sample standard deviation is 1.22 milligrams. Assuming the weights are normally distributed, construct 90% confidence intervals for the population variance and standard deviation. Please interpret your result.
An experiment was run to compare three groups. The sample sizes were 28, 33, and 102, and the corresponding estimated standard deviations were 2.7, 2.6 and 4.8. 1) What is the value of the pooled standard deviation? 2) Explain why the answer for part 1 is much closer to the standard deviation of the third group than to either of the other two standard deviations.
calculate ss variance and standard deviation for the following population of N=5 scores: 2,13,4,10,6
A . please do not uplod handwritting image ( only typing please)
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 29 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 3.3 hours.Use the Empirical Rule to answer the following questions.a) 68% of the students spend between ? hours and ? hours on Statistics each week.b) 95% of the students spend between ? hours and ? hours on Statistics each week.c) 99.7% of the students spend between ? hours and ? hours on Statistics each week.
Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.The ages of actresses when they won an acting award is summarized by the statistics n=79, x=35.4 years, and s=11.4 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 32 years.Question content area bottomPart 1What are the hypotheses?A.H0: μ=32 yearsH1: μ≥32 yearsB.H0: μ≠32 yearsH1: μ=32 yearsC.H0: μ=32 yearsH1: μ<32 yearsD.H0: μ=32 yearsH1: μ≠32 yearsPart 2Identify the test statistic.t=enter your response here (Round to three decimal places as needed.)Part 3Identify the P-value.The P-value is enter your response here. (Round to four decimal places as needed.) Part 4State the final conclusion that addresses the original claim. Choose the…

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