![melanastormes92](/avatars/23285.jpg)
melanastormes92
24.12.2019 •
Mathematics
The national mean annual salary for a school administrator is $90,00 a year (the cincinnati enquirer, april 7, 2012). a school official took a sample of 25 school administrators in the state of ohio to learn about the salaries in that state to see if they differed from the national average.
a) formulate hypotheses that can be used to determine whether the population mean annual administrator salary in ohio differs from the national mean of $90,000.
b) the sample data for 25 ohio administrators is contained below. what is the p-value for your hypothesis test in part a?
c) at alpha = 0.05, can your null hypothesis be rejected? what is your conclusion?
Solved
Show answers
More tips
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- H Health and Medicine Contraceptive Pills After 35: The Importance Of Choosing The Right Medication...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
Answers on questions: Mathematics
- M Mathematics The green shape is a dilation of the black shape what is the scale factor of dilation?...
- M Mathematics Answer the following questions and round your answers to 2 decimal places. 31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 36 students are...
- M Mathematics 136 cars were sold during the month of April. 71 had air conditioning and 72 had automatic transmission. 55 had air conditioning only, 56 had automatic transmission only, and 9 had...
- M Mathematics First correct answer gets brainliest!...
- M Mathematics Write an integral using the order of integrationdzdxdyfor the volume of the solid tetrahedron withvertices (0,0,0), (0,0,1), (0,2,0), and (2,2,0). Be sure to sketch the region of integration....
- M Mathematics La municipalidad de lamas realiza un concurso de cometas las cuales tenian que ser diseñadas en parejas con recortes de papeles de igual medida y de varios colores Escriban la fracción...
- M Mathematics Translate the equation the sum of twice a number and 19 is -23...
- M Mathematics Ihave one more that i will give 50 points for !...
- M Mathematics How to find a solution for a polynomial function how to find the equation for a polynomial function...
- M Mathematics If the perimeter of the pentagon below is 7x1 + 9x3 - 6x2 + 10, what is the length of the missing side?...
Ответ:
a) Null hypothesis:
Alternative hypothesis:
b)
c) If we compare the p value and the significance level given
we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean for the salary differs from 9000 at 5% of significance.
Step-by-step explanation:
1) Data given and notation
77600 ,76000 ,90700 ,97200 ,90700 ,101800 ,78700 ,81300 ,84200 ,97600 ,
77500 ,75700 ,89400 ,84300 ,78700 ,84600 ,87700 ,103400 ,83800 ,101300
94700 ,69200 ,95400 ,61500 ,68800
We can calculate the sample mean and deviation with the following formulas:
The values obtained are:
t would represent the statistic (variable of interest)
Part a: State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean salary differs from 90000, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so 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".
Part b: Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a two sided test the p value would be:
Part c: Conclusion
If we compare the p value and the significance level given
we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean for the salary differs from 9000 at 5% of significance.
Ответ:
350,000
Step-by-step explanation: