Question

A scientist estimates that the mean nitrogen dioxide level in a city is greater than 25 parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The results (in parts per billion) are listed to the right. Assume that the population standard deviation is 8. At 0.09, can you support the scientist's estimate?

14 28 39 15 14 19 31 41 18 29 43 18 27 18 36 40 17 36 22 36 25 17 20 36 22 33 29 23

Find the critical value and identify the rejection region?

Answer #1

Dataset:
Husband Wife
53 50
38 34
46 44
30 36
31 23
26 31
29 25
48 51
65 46
29 26
28 23
29 32
25 22
22 21
21 24
43 50
24 27
38 33
33 26
35 29
40 29
27 25
27 24
49 38
48 39
27 27
26 24
40 34
35 37
21 26
32 39
30 28
60 52
36 40
25 23
66 55
52 34
41 40
43 ...

After you run the t-test, answer these questions (type responses
in this box):
1. What is the p-value (the significance)?
2. Is the difference between the mean age first diagnosed for
males and females statistically significant?
Independent Samples
t-TEST
Age First Diagnosed
Male
Female
25
33
35
32
34
45
22
44
34
21
21
33
21
29
18
30
43
31
28
28
29
44
32
54
41
32
25
39
30
36
19
50
15
21
18
37...

Use the following data to test if there is a difference in mean
age between mothers of a boy and mothers of a girl at alpha =0.05.
provide p-value
MomAge
gestation
sex
weight
preemie
35
39
F
3175
FALSE
22
42
F
3884
FALSE
35
39
F
3030
FALSE
23
40
F
3629
FALSE
23
42
F
3481
FALSE
25
38
F
2693
FALSE
25
40
F
3345
FALSE
24
40
F
3232
FALSE
19
40
F
2795
FALSE
20...

What is the probability of finding a sample with a mean of less
than 29,000 miles?
Tire #
Mileage
1
30564
2
28886
3
29822
4
29326
5
31535
6
31880
7
28376
8
29664
9
25001
10
31981
11
31048
12
29672
13
33267
14
31512
15
35228
16
27089
17
31372
18
32749
19
28670
20
31683
21
34551
22
31811
23
29535
24
25741
25
28874
26
28535
27
28444
28
27504
29
32179
30
31491
31...

____________________________________________
The results of a sample of 372 subscribers to Wired
magazine shows the time spent using the Internet during the week.
Previous surveys have revealed that the population standard
deviation is 10.95 hours. The sample data can be found in the Excel
test data file.
What is the probability that another sample of 372 subscribers
spends less than 19.00 hours per week using the Internet?
____________________________________________
Develop a 95% confidence interval for the population mean
____________________________________________
If the editors...

The results of a sample of 372 subscribers
toWiredmagazine shows the time spent using the Internet
during the week. Previous surveys have revealed that the population
standard deviation is 10.95 hours. The sample data can be found in
the Excel test data file.
What is the probability that another sample of 372 subscribers
spends less than 19.00 hours per week using the Internet?
Develop a 95% confidence interval for the population mean
If the editors of Wiredwanted to have the...

B. Determine whether or not the table is a valid probability
distribution of a discrete random variable. Explain fully.
X
0.23
0.14
0.17
P(X=x)
-0.22
0.38
0.84
Daily sales of a medium sized restaurant are normally
distributed with a mean of $720 and a standard deviation of
$80.
What is the probability that a randomly selected day will make
a sales of at least $656?
What is the probability that a randomly selected day will make
a sales between $680...

Person
number
X
Value
Y
Value
Person number
X
Value
Y
Value
Person number
X
Value
Y
Value
1
24
30
11
39
42
21
21
27
2
42
53
12
60
65
22
33
29
3
20
27
13
34
40
23
25
27
4
31
30
14
24
26
24
22
25
5
22
24
15
51
57
25
28
33
6
46
47
16
80
83
26
34
40
7
52
60
17
28
27
27
53...

The Student Government Association is interested in an estimate
of the mean number of hours students work per week. They take a
simple random sample of 89 students. The data they collected can be
found in the column labeled “Number of hours worked per week”. Use
the sample data to construct a 95% confidence interval for the mean
number of hours worked. Write one or two sentences to communicate
to the Student Government Association the estimate and the margin
of...

Greene and Touchstone conducted a study to relate birth weight
and Estriol level in pregnant women as given in Table-1:
Table: 1 Sample Data from Greene and Touchstone study relating
birth weight and estriol.
i
Estriol (mg/24 hr) xi
Birth weight(g/100) yi
i
Estriol (mg/24 hr) xi
Birth weight(g/100) yi
1
7
25
17
17
32
2
9
25
18
25
32
3
9
25
19
27
34
4
12
27
20
15
34
5
14
27
21
15
34...

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