Mathematics, 30.03.2020 20:38 ciarrap552

Complete parts (a) through (c) below.

(a) Determine the critical value(s) for a right-tailed test of a population mean at the alpha = 0.10 level of significance with 20 degrees of freedom.
(b) Determine the critical value(s) for a left-tailed test of a population mean at the alpha = 0.05 level of significance based on a sample size of n=10.
(c) Determine the critical value(s) for a two-tailed test of a population mean at the alpha=0.01 level of significance based on a sample size of n=11.

Answers: 1

Show answers

Answers

Answer from: xojade

a) df = n-1= 20-1=19

For this case the value of $\alpha=0.1$ , since is a right tailed test we need a critical value on the t distribution with 19 degrees of freedom that accumulates 0.1 of the area on the right and we got:

$t_{cric}= 1.328$

b) df = n-1= 10-1=9

For this case the value of $\alpha=0.05$ , since is a left tailed test we need a critical value on the t distribution with 9 degrees of freedom that accumulates 0.05 of the area on the right and we got:

$t_{cric}=-1.833$

c) df = n-1= 11-1=10

For this case the value of $\alpha=0.01$ and $\alpha/2=0.005$ , since is a two tailed tailed test we need a critical value on the t distribution with 10 degrees of freedom that accumulates 0.005 of the area on both tails and we got:

$t_{cric}=\pm 3.169$

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

Part a

We can calculate the degrees of freedom first:

df = n-1= 20-1=19

$t_{cric}= 1.328$

Part b

We can calculate the degrees of freedom first:

df = n-1= 10-1=9

$t_{cric}=-1.833$

Part c

We can calculate the degrees of freedom first:

df = n-1= 11-1=10

$t_{cric}=\pm 3.169$

Answer from: Quest

However, if the workers do outside of what's normally expected, go ahead and tip.

Answer from: Quest

You just need to add 32 to 14 and get 46.

Another question on Mathematics

Mathematics, 21.06.2019 18:40

Complete the steps, which describe how to find the area of the shaded portion of the circle. find the area of the sector by multiplying the area of the circle by the ratio of the to 360. subtract the area of the triangle from the area of the sector.

Answers: 3

Answer

Mathematics, 21.06.2019 22:40

Suppose you are choosing a 6-digit personal access code. this code is made up of 4 digits chosen from 1 to 9, followed by 2 letters chosen from a to z. any of these digits or letters can be repeated. find the total number of personal access codes that can be formed. 492,804 341,172 39,917,124 4,435,236

Answers: 1

Answer

Mathematics, 21.06.2019 23:20

Which best describes a central bank's primary goals? limiting inflation and reducing unemployment reducing unemployment and maintaining cash flow controlling stagflation and reducing unemployment managing credit and ensuring the money supply's liquidity

Answers: 1

Answer

Mathematics, 22.06.2019 03:30

If the function m(x) has the point (5,2) on its graph name a point that would be on the funtion m(5x)

Answers: 2

Answer

You know the right answer?

Complete parts (a) through (c) below.

(a) Determine the critical value(s) for a right-t...

Questions

Mathematics, 06.05.2020 22:03

Find the area of the regular polygon with the given radius or apothem. What is the area?