Assume that a researcher wants to use sample data to test the claim that the sample is from a population with a standard deviation less than 1.8 min. The researcher will use a 0.05 significance level to test that claim. If the researcher wants to use the confidence interval method of testing​ hypotheses, what level of confidence should be used for the confidence​ interval? Will the conclusion based on the confidence interval be the same as the conclusion based on a hypothesis test that uses the​ P-value method or the critical value​ method?


Answer 1


Step-by-step explanation:


First, let me remind you that the hypothesis test is made to the parameter of known distributions. To say it easy, the population deviation, σ, is no parameter of a distribution bu the population variance, σ², is. So when you want to study the population standard deviation, you have to study the population variance. Any decision made for the σ² may be applied to the σ.

So if the experimental hypothesis is that the standard deviation of the population is 1.8 min, since you cannot test it statistically, you will test that the population variance is (1.8)² min².

Your study hypothesis is:

H₀: σ² = 3.24

H₁: σ² < 3.24

α: 0.05

> To take a decision using a Confidence Interval you have to remember that, of course, the interval should be for the same parameter (σ²) and with a complementary confidence level. So if you make the test using a level of significance α: 0.05, the confidence level should be constructed with a confidence level of 1 - α= 0.95

There are 3 methods you can use to decide on a hypothesis test.

> With the critical value against the calculated statistic value

> p-value vs α

> Confidence interval (with complementary confidence level)

You may apply the three methods and should obtain the same decision, of course, this applies only when you use the same sample data for the three of them.

It only makes sense to compare the decisions made with all three methods if the same sample was used. Remember that different samples, even if they are from the same population, do not always give the same results.

I hope it helps!

Related Questions


. Find the rate of change for the situation. You run 7 miles in one hour and 14 miles in two hours.

A.7 miles per hour

B.2 hours

C.7 miles

D.2 miles per hour


Answer: A.7 miles per hour

Step-by-step explanation:

Given: You run 7 miles in one hour and 14 miles in two hours.

We know that

The rate of change of function=

Therefore, the rate of change of function for the given situation

Hence the rate of change of function for the given situation= 7 miles per hour.

The answer is A.
To find speed/rate of change, divide distance by time.
7 mi/ 1 hr= 7 mph
14 mi/2 hr= 7mph

Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,450 down and $175 each month. At another dealer, she would pay $3,150 down and $150 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be? After ___ months Kenya will have paid $ ___ for the bike at either dealer.


First, you write out the equation which is 2450+175x=3150+150x
Then you would move the variables to one side and if you move a variable, the smaller the better
          -150x           -150x

Then subtract 2450 on both sides to leave the variable alone and you would get :

Then you would divide both sides by 25 and you would get 28 so the answer would be:
After 28 months Kenya will have paid $7350 for the bike at either dealer.

What is the domain and range for c=1738+328q


The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.(−∞,∞){q|q∈R}

What are integers from 6.32-10.99


Integers are whole numbers that can be positive or negative.

The integers between 6.32 and 10.99 are:

7, 8, 9, 10

How many times can 1 13/16 go into 12 1/8


1 13=29/16

12 1/8=97/8

(97/8) / (29/16)=194/29


Eduardo bought a refrigerator with a sticker price of $2400. If he paid $35 a week for two years, what was the approximate markup rate on the refrigerator? A. 65.9%
B. 51.7%
C. 34.1%
D. 75.8%



The correct answer is option B

Step-by-step explanation:

Payment done per week

Total number of weeks in a  year

Total number of weeks in two  year

Total amount paid in two weeks

The make up rate is basically the amount paid over and above $2400

There are 52 weeks a year
In 2 years there are 104 weeks

Total paid

markup rate

It's b

How to write 103,727,495 in expanded form


The answer is 100,000,000+3,000,000+700,000+20,000+7,000+400+90+5.
The expanded form is

Sam and Annika ride their bike to school. Sam rides his bike (k) kilometers. Annika rides her bike 2 less than 4 times as many kilometers as Sam rides. What is the GREATEST distance in kilometers Annika could ride her bike to school show or explain all your work.

Pleaseeeeee help I don't get it


Sam rides K kilometers
Annika rides 4k-2

to get the greatest distance we will put this equal to 0
sam ride 2km atmost to the school
Annika rides 4k-2

You, I answered it  on your previous question, but thanks for the points.


Chemists write the formula of ordinary sugar as C12 H22 O11 which means that the ratios of one molecule of sugar are always 12 carbon atoms to 22 hydrogen atoms to 11 oxygen atoms if there for sugar molecules how many atoms of each element will there be


If you are making 4 sugar molecules, i believe it would be C-48 H-88 O-44
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