MAT-152 Written Assignment 7
docx
keyboard_arrow_up
School
Central Carolina Community College *
*We aren’t endorsed by this school
Course
152
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
4
Uploaded by hannahcatherine0726
MAT-152 Written Assignment 7
Answer the following questions. You can either handwrite your solutions (e.g., by printing this
document and writing on paper or by using a program), or you can type your solutions below.
SHOW YOUR WORK
, including anything you entered into your calculator.
(Prompt for Question #1 to Question #4) The average daily sales for a particular product sold by
a large department store is $12,350. To test whether this figure is lower in the rural areas of
North Carolina, a random sample of 10 stores in rural areas were selected. The average daily
sales for these 10 stores are as follows:
$10,230
$11,491
$11,349
$11,352
$12,560
$9,239
$14,210
$8,291
$10,976
$12,294
1.
What are the null and alternate hypotheses in this experiment?
2.
Using the appropriate test in your calculator, calculate the test statistic and p-value for
this hypothesis test. Show what function in your calculator you used.
3.
Using significance level α = 0.05, what would be the outcome of this hypothesis test?
___ Reject the null hypothesis
___ Do not reject the null hypothesis
4.
Interpret your results from Question 3 in the context of this question.
(Prompt for Question #5 to Question #15) The following data gives the amount of nitrogen
applied, in 100 pounds per acre, as well as the amount of yield of oats, in bushels per acre: Nitrogen (100 lb/acre)
1
1
2
2
3
3
4
4
Yield (bushels/acre)
22
19
38
4
1
57
54
65
68
5.
Which variable (nitrogen or yield) is the dependent variable, y, and which one is the
independent variable, x?
6.
Using your calculator, calculate the following statistics. Round any answers to 2 decimal
places, if necessary.
x
= _____
Σx = _____
Σx
2
= _____
n = _____
y
= _____
Σy = _____
Σy = _____
Σxy = _____
7.
What is the cross-product of x and y, S
xy
? Show how you calculated it.
8.
What is the sum of squares of x, S
xx
? Show how you calculated it.
9.
Based on your answers for #7 and #8, calculate the least-squares line of best fit for this
data set. Show all of your work
.
10.
Based on your answer for #9, how much yield would you expect from an acre of oats
which was given 6 pounds of nitrogen?
11.
Nitrogen is a very common ingredient in agricultural fertilizer. Based on this fact, would
you expect there to be a positive or negative linear relationship between the amount of
nitrogen used and the yield of oats?
12.
Set up a hypothesis test to test whether this data indicates the type of relationship from
your answer for #11. What are the null and alternate hypotheses?
13.
Use the appropriate test in the calculator to perform the hypothesis test using the
sample data. What are the values of the test statistic and the p-value? Be sure to write
what test you used in the calculator to get your answers.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
14.
Based on your answers from #13, what would be the outcome of this hypothesis test?
Use a significance level of α = 0.05.
___ Reject the null hypothesis
___ Do not reject the null hypothesis
15.
Interpret your results from #14 in the context of this question.