HoneySoft
13.12.2019 •
Mathematics
In 2017, the average credit score for loans that were purchased by a government-sponsored mortgage loan company was 744. a random sample of 35 mortgages recently purchased by the company was selected, and it was found that the average credit score was 753 with a sample standard deviation of 19. complete parts a through c.
a. using a = 0.05, is there enough evidence from this sample to conclude that the average credit score for mortgages purchased by the company has increased since 2017?
determine the null and alternative hypotheses. hos 744 h: > 744 (type integers or decimals. do not round.) determine the appropriate critical value. select the correct choice below and fill in the answer box within your choice. (round to three decimal places as needed.)
a. -ta=
b. tą = 1.691
c. ta/2=
b. determine the precise p-value for this test using excel. the p-value is 0.004
the p-value is 0.004 (round to three decimal places as needed.)
c. what assumptions need to be made to perform this analysis? select all that apply.
a. the population is normally distributed.
b. the sample mean is large.
c. no assumptions are necessary.
d. the sample is large.
e. the population standard deviation is small.
Solved
Show answers
More tips
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
Answers on questions: Mathematics
- M Mathematics an elevator gores from the 124 from the floor to the 8th floor of the tallest building in 40 seconds. which statement is true?...
- M Mathematics Can someone help me with this bell work, it is due at 2:15. It is attached!...
- M Mathematics Help! Which of the following statements are correct? Select all that apply. Someone please answer fast....
- M Mathematics Write 5,129.347 in word...
- M Mathematics For the sequence an=3n-5 what is the value of a30...
- M Mathematics What does the example problem felix says if 2/3 pan of lasagna had been left over from dinner and the family ate 1/2 of that for lunch the answer would not change...
- H History 6. Why is technology an Important resource? A. Technology can make it easier and cheaper to create goods. B. Technology can make it easier to find the right government...
- M Mathematics Could someone explain inequalities to me, and also help me with this sheet?...
- S Social Studies A test designed for elementary school children was administered to 11thgrade students. To these students the test seemed extremely childish and inappropriate. They...
Ответ:
a) Null hypothesis:
Alternative hypothesis:
B. .
b)
And the code in excel to find it is given by:"=1-T.DIST(2.802,34,TRUE)"
c) A. The population is normally distributed.
D. The sample is large.
Step-by-step explanation:
Part a
We need to conduct a hypothesis in order to determine if actual mean is higher than 744 , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
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:
(1)
In order to find the critical value, first we need to determine the degrees of freedom given by:
And now since is a right tailed test we need a quantile from the t distribution with 34 degrees of freedom that accumulates 0.05 of the are on the right and 0.95 of the area on the left. We can use the following excel code to find it: "=T.INV(0.95,34)" and we got that .
Part b
Calculate the statistic
We can replace in formula (1) the info given like this:
And in order to calculate the p value we can do this, since it's a right tailed test:
And the code in excel to find it is given by:"=1-T.DIST(2.802,34,TRUE)"
Conclusion
Since our calculated value it's higher than the critical value we have enough evidence at 5% of significance to reject the null hypothesis.
Part c
The 5 assumptions in order to conduct a t test are:
1) The scale of measurement of the data needs to be continuous or ordinal scale
2) We need data from simple random sample sampling, in order to be representative.
3) We need data from a normal distribution, that's called normality assumption.
4) We need a large sample size.
5) And we need homogeneity of variance on the measurements.
Based on this the best options for this case are:
A. The population is normally distributed.
D. The sample is large.
Ответ:
-6/10 -9/15 those are equal to -3/5 but not simplified or if you want to eliminate your -3/5 you would use opposite reciprocal and it would be 5/-3
Step-by-step explanation: