Answer:
88.90 cm
Step-by-step explanation:
Answer:
We cannot say that the mean wake time are different before and after the treatment, with 98% certainty. So the zopiclone doesn't appear to be effective.
Step-by-step explanation:
The goal of this analysis is to determine if the mean wake time before the treatment is statistically significant. The question informed us the mean wake time before and after the treatment, the number of subjects and the standard deviation of the sample after treatment. So using the formula, we can calculate the confidence interval as following:
![IC[\mu ; 98\%] = \overline{y} \pm t_{0.99,n-1}\sqrt{\frac{Var(y)}{n}}](https://tex.z-dn.net/?f=IC%5B%5Cmu%20%3B%2098%5C%25%5D%20%3D%20%5Coverline%7By%7D%20%5Cpm%20t_%7B0.99%2Cn-1%7D%5Csqrt%7B%5Cfrac%7BVar%28y%29%7D%7Bn%7D%7D)
Knowing that
:
![IC[\mu ; 98\%] = 98.9 \pm 2.602\frac{42.3}{4} \Rightarrow 98.9 \pm 27.516](https://tex.z-dn.net/?f=IC%5B%5Cmu%20%3B%2098%5C%25%5D%20%3D%2098.9%20%5Cpm%202.602%5Cfrac%7B42.3%7D%7B4%7D%20%5CRightarrow%2098.9%20%5Cpm%2027.516)
![IC[\mu ; 98\%] = [71.387 ; 126,416]](https://tex.z-dn.net/?f=IC%5B%5Cmu%20%3B%2098%5C%25%5D%20%3D%20%5B71.387%20%3B%20126%2C416%5D)
Note that
so we cannot say, with 98% confidence, that the mean wake time before treatment is different than the mean wake time after treatment. So the zopiclone doesn't appear to be effective.
Given are three married couples.
So, let us assume there are 3 men and 3 women
They are sitting in a row of 6 empty seats
There is a definite order constraint that each woman will sit left to her husband. The first woman gets 3 options to choose from 3 available seats. The second woman has two options left as already one seat is filled by the first woman. The last woman has one option left. So, it is 
So, number of ways is 3! =
= 6 ways.
<h2><u>
Answer with explanation:</u></h2>
The confidence interval for population mean (when population standard deviation is unknown) is given by :-

, where n= sample size
= Sample mean
s= sample size
t* = Critical value.
Given : n= 25
Degree of freedom : 

Significance level for 98% confidence interval : 
Using t-distribution table ,
Two-tailed critical value for 98% confidence interval :

⇒ The critical value that should be used in constructing the confidence interval = 2.4922
Then, the 95% confidence interval would be :-




Hence, the 98% confidence interval for the mean repair cost for the dryers. = 
Answer:
<u>The correct answer is C. 6, 8 and 9 inches.</u>
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.
Scale used : 1 inch = 2 feet.
2. How long should the sides of the triangle be in inches?
For calculating the length of the sides of the triangle in the draw, we use the scale this way:
1st Side = 12 feet
12 feet/2 = 6 inches
2nd Side = 16 feet
16 feet/2 = 8 inches
3rd Side = 18 feet
18 feet/2 = 9 inches
<u>The correct answer is C. 6, 8 and 9 </u>