So for the random sample of 17. Supposedly the answer for the critical t is 2.583 my professor says it is wrong, im not quite sure what the answer is then. then for the other question i just need to know how to find critical t and what is it. I included it here instead of using another question example. I just need one step on each one A random sample of 17 observations taken from apopulation that is normally distributed produced asample mean of 42.4 and a standard deviation of 8LFind the range for the p-value and the critical andobserved values of t for each of the following testsof hypotheses using, a = 0.01.Use the t distribution table to find a range for thep-value.Round your answers for the values of t to threedecimal places.a. Ho: µ = 46 versus H1: µ < 46.0.025< p-value <0.05tcriticalitobserved-1.856-tentilalrapoII A random sample of 114 observations produced asample mean of 31. Find the critical and observedvalues of z for the following test of hypothesisusing a = 0.01. The population standarddeviation is known to be 5 and the populationdistribution is normal.Ho: H= 28 versus Hj : µ > 28.Round your answers to two decimal places.Zcritical =iZobserved =6.406

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Description: So for the random sample of 17. Supposedly the answer for the critical t is 2.583 my professor says it is wrong, im not quite sure what the answer is then. then for the other question i just need to know how to find critical t and what is it. I inclu

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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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So for the random sample of 17. Supposedly the answer for the critical t is 2.583 my professor says it is wrong, im not quite sure what the answer is then.

then for the other question i just need to know how to find critical t and what is it. I included it here instead of using another question example. I just need one step on each one

A random sample of 17 observations taken from a
population that is normally distributed produced a
sample mean of 42.4 and a standard deviation of 8L
Find the range for the p-value and the critical and
observed values of t for each of the following tests
of hypotheses using, a = 0.01.
Use the t distribution table to find a range for the
p-value.
Round your answers for the values of t to three
decimal places.
a. Ho: µ = 46 versus H1: µ < 46.
0.025
< p-value <
0.05
tcritical
i
tobserved
-1.856
-tentilal
rapo
II

A random sample of 114 observations produced a
sample mean of 31. Find the critical and observed
values of z for the following test of hypothesis
using a = 0.01. The population standard
deviation is known to be 5 and the population
distribution is normal.
Ho: H
= 28 versus Hj : µ > 28.
Round your answers to two decimal places.
Zcritical =
i
Zobserved =
6.406

Expert Solution

Step 1

The critical t value is calculated by taking in concern the significance level ( $α$ ) with degrees of freedom (n-1)

The critical Z value is calculated taking in concern only the significance level ( $α$ )

Step 2 1st

Given

n=17

$α$ =0.01

Since we n is less than 30 and we have been given sample standard deviation we will use t distribution tables.

Therefore at 0.01 significance level and with 16 degrees of freedom the t critical value in this case is -2.583

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