Answer:
here it is I hope it helps
Step-by-step explanation:
verified
Answer:
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1 - 0.9}{2} = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1%20-%200.9%7D%7B2%7D%20%3D%200.05)
Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.645\frac{23.44}{\sqrt{141}}](https://tex.z-dn.net/?f=M%20%3D%201.645%5Cfrac%7B23.44%7D%7B%5Csqrt%7B141%7D%7D)
![M = 3.25](https://tex.z-dn.net/?f=M%20%3D%203.25)
The lower end of the interval is the sample mean subtracted by M. So it is 34.09 - 3.25 = 30.84.
The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).
toy store $8.36 /2 = 4.18 per game
online $12.84 /3 =$4.28 per game
The toy store has the lowest price
A coefficient is the (big) number in front of a number that tells you how many times you multiply the main number