Consider Ho: = 31 versus H;: u 31. A random sample of 16 observations taken from this population produced a sample mean of25.71. The population is normally distributed with o= 9.Note: Use Table IVinAppendix C to compute the probabilities.(a) Calculate the p-value.(b) Considering the p-value of part (a). would you reject the null hypothesis if the test were made at the significance level of 0.05?(c) Considering the p-value of part (a), would you reject the null hypothesis if the test were made at the significance level of 0.01?Recall the following from section 9.2 of the text.The p-value or probability-value approach.(1) We reject the null hypothesis if p-valuesa or a2p-value.We do not reject the null hypothesis if p-value > aor a< p-value.(2) For a one-tailed test, the p-value is given by the area in the tail of the sampling distribution curve beyond the observed value of thesample statistic.For a two-tailed test, the p-value is given by twice the area in the tail of the sampling distribution curve beyond the observed value ofthe sample statistic(3) To find the area in the tail of the sampling distribution curve (we use normal distribution here), we first find the value of zcorresponding to the observed value of X using the formula:n = sample size, and uand o are the population mean and standard deviation. We call this z value the observedVnwhere o; =value of z8th-ed Chapter 09, Section 9.2, Intelligent Tutoring Problem 018Consider Ho: = 31 versus H;: u 31. Arandom sample of 16 observations taken from this population produced a sample mean of25.71. The population is normally distributed with o =9.(a) Compute oz. Round the answer to four decimal places.Oz =(b) Compute z value. Round the answer to two decimal places.(c) Find area to the left of z-value on the standard normal distribution. Round the answer to four decimal places.The area =(d) Find p-value. Round the answer to four decimal places.p-value =

Given μ=31, n=16, x̄=25.71, σ=9 Note: According to Bartleby guidelines, expert solve only one…

Answered: Consider H u= 31 versus H;- u+…

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 data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n = 194, x= 6.53, s = 2.07. 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? A. Ho: H = 7.00 H1: µ>7.00 Ο Β. Ho: μ= 7.00 H1: µ7.00 H1:µ#7.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the mean of the population of ratings is 7.00.
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n = 192, x= 5.83, s= 1.93. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 6.00. 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? O B. Ho: µ= 6.00 O A. Ho: H= 6.00 H1: u#6.00 H1: µ> 6.00 O D. Ho: µ6.00 Determine the test statistic, (Round to two decimal places as needed.) Determine the P-value (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is evidence to conclude that the mean of the population of ratings is 6.00
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A sample of n = 64 scores has a mean of M = 45 and an estimated standard error of 3 points. What is the sample variance? Select one: a. s2 = 113 b. s2 = 576 c. s2 = 498 d. s2 = 502

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