A recent newspaper article claims that teens send more than 82.2 text messages per day. A study is conductedand 25 randomly selected teens are selected and the mean number of text messages is 86.1 with a standarddeviation of 8.4. Test the newspaper's claim at the 0.01 significance level. You believe the population isnormally distributed.H.:µ = 82.2Ha: µ > 82.2a. What is the test statistic? (Report answer accurate to four decimal places.)test statistic =b. What is the p-value? (Report answer accurate to four decimal places.)p-valuec. The p-value isgreater than aless than (or equal to) ad. The p-value leads to a decision tofail to reject Horeject Hoассept Hoe. The conclusion is thatThere is sufficient evidence to conclude the mean number of text messages teens send is 82.2 per day.There is not sufficient evidence to conclude the mean number of text messages teens send is greaterthan 82.2.There is sufficient evidence to conclude the mean number of text messages teens send is greater than82.2.There is not sufficient evidence to conclude the mean number of text messages teens send is 82.2 perday.f. Interpret the P-valueIf the sample mean number of text messages teens send per day is equal to 86.1, then there is aprobability of 0.0145 of getting a population mean of 82.2 or more.The p-value is the probability of a rejecting that the mean number of text messages teens send per dayis 82.2 from a sample of 25.O If the population mean number of text messages teens send per day is 82.2, then there is a probabilityof 0.0145 of getting a sample mean of 86.1 or more from a sample of size 25.The p-value is the probability of a Type II Error.

Given that x̄ =86.1 , μ = 82.2 , s = 8.4 , n = 25 Note: According to bartleby experts question…

Answered: A recent newspaper article claims that…

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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