![SuBzErO24](/avatars/20188.jpg)
SuBzErO24
10.12.2019 •
Mathematics
Arecent report claimed that americans are retiring later in life ( u.s. news & world report, august 17). an economist wishes to determine if the mean retirement age has increased from 62. to conduct the relevant test, she takes a random sample of 38 americans who have recently retired and computes the value of the test statistic as t 37 = 1.92. with α = 0.05, she
Solved
Show answers
More tips
- B Business and Finance How to Open an Online Store? A Detailed Guide for Beginners...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics 14. Find the values of k and m in each of the following cases: 1. (x — 2) and (x — 3) are the factors of x^3—kx^2+x+m....
- S Social Studies Bruce is bound to a wheelchair because of a devastating auto accident. However, even though he is restricted in terms of locomotion, he resents being called disabled because...
- M Mathematics How do i solve this word problem? eight hundred tickets were sold for a movie production and the receipts for the performance wear $8600. the tickets for adults and students...
Ответ:
If we compare the p value and a significance level given
we see that
so we can conclude that we can reject the null hypothesis, and the actual true mean is significanlty higher than 62 at 5% of significance.
Step-by-step explanation:
Data given and notation
t would represent the statistic (variable of interest)
State the null and alternative hypotheses to be tested
We need to conduct a hypothesis in order to determine if the mean is higher than 62, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Compute the test statistic
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
The t statisitc for this case we got t=1.92
Now we need to find the degrees of freedom for the t distirbution given by:
Compute the p-value
Since is a one right tailed test the p value would be:
If we compare the p value and a significance level given
we see that
so we can conclude that we can reject the null hypothesis, and the actual true mean is significanlty higher than 62 at 5% of significance.
Ответ: