v. Refer to a random sample of 20 undergraduate studentswho worked an average of 13.5 hours per week for auniversity. Assume the population is normally distributedwith a standard deviation of 5 hours per week.Test the claim that the average student works less than 15hours per week at the alpha = 0.02 significance level bycomparing the calculated z-score to the critical z-score.1. Identify and write the null (Ho) and alternative hypotheses(Ha).2. Calculate and show the standard error of the mean.3. Calculate the z-score.4. State if Ho is accepted or rejected.5. Show the normal distribution diagram and identify theacceptance and rejection region (s).Z-score on your diagramAlso show the critical

given that n=20,x bar=13.5,s.d=5,alpha=0.02

Answered: Refer to a random sample of 20…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The average American consumes 100 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 107.9 liters of alcohol consumed per year with a standard deviation of 19 liters. Assuming that the data come from a normally distributed population, what can be concluded at the the αα = 0.05 level of significance? The null and alternative hypotheses would be: The test statistic= The p-value =
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 191, x= 6.58, s = 1.96. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. H μ=7.00 O B. Ho: µ= 7.00 H4: µ>7.00 H1:µ7.00 H1:H#7.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. |(Round to three decimal places as needed.) ate the final conclusion that addresses the original claim. V Ho- There is V evidence to conclude that the mean of the population of ratings is V 7.00.
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=190, x=7.55, s=1.97. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
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