![kenzie530](/avatars/28235.jpg)
kenzie530
14.04.2020 •
Mathematics
A survey of 35 individuals who passed the seven exams and obtained the rank of Fellow in the actuarial field finds the average salary to be $150,000. If the standard deviation for the population is $15000, construct a 95% confidence interval for all Fellows
Solved
Show answers
More tips
- H Health and Medicine Novomin: What is it and how to use it?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
Answers on questions: Mathematics
- M Mathematics Can some one me answer 21-26 i need asap....
- M Mathematics The points (-2,-4) and (8,5) are the endpoints of the diameter of a circle. find the length of the radius of the circle....
- M Mathematics What s the equation of sin30°?...
- M Mathematics Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net earnings and recorded them in the table shown. Self-Employment...
- B Biology Describe the connective tissue components of skeletal muscle tissue...
- A Advanced Placement (AP) How does the coriolis effect influence precipitation around the world ?...
Ответ:
So on this case the 95% confidence interval would be given by (144847.94;155152.06)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
s=15000 represent the sample standard deviation
n=35 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
In order to calculate the critical value
we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of
and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,34)".And we see that ![t_{\alpha/2}=2.032](/tpl/images/0598/9272/34956.png)
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (144847.94;155152.06)
Ответ:
1:3
Step-by-step explanation:
1) The number of cats: 6
2) The number of all of the animals: 18
3) The ratio--> 6:18
4) Simplify: (both of the numbers go into six) thus, the answer is 1:3
Hope this helps :)