Question

Your task is to pick a hypothesis to test about a population proportion (section 8.2) or a population mean (section 8.3). Once you have determined your hypothesis you must go and collect the data. Make sure your sample meets the requirements of a test presented in sections 8.2 and 8.3 (such as appropriate sample size). Use a 0.05 significance level.

Please clearly state the null and alternative hypotheses in symbolic form and in words. State any relevant statistics from your data that you used to find your test stat. State your test stat prior to reaching your conclusion. Explain why you chose your conclusion using both the “critical value method” and “P-value method”. Interpret your conclusion in the context of the claim.

• Test the claim that the mean pulse rate of a person is less 75 beats per minute. I surveyed 30 coworkers results below:

56, 66, 67, 78, 92, 61, 75, 87, 60, 59, 56, 78, 82, 97, 58, 90, 71, 87, 65, 59, 65, 76, 60, 78, 72, 58, 90, 86, 72, 95

Answer #1

*Test Statistic:*

- If the standard deviation is unknown:

For given sample = 72.7, s=13.38

=-0.94

Using excel function ''=TDIST(0.94,19,1)'' we will get p-value 0.179

t_{critical} at 0.05 is 1.729

P-value > alpha=0.05 so we do not reject the null hypothesis.
t_{critical} > t_{observed .}we reject the null
hypothesis.

from both the result we conclude that mean pulse rate of a person is does not less 75 beats per minute.

Hope this will be helpful. Thanks and God Bless You :)

• I will Test the claim that the mean pulse rate of a person is
less 75 beats per minute.
I surveyed 35 co-workers results below:
56, 66, 67, 78, 92, 61, 75, 87, 60, 59, 56, 78, 82, 97, 58, 90,
71, 87, 65, 59, 65, 76, 60, 78, 72, 58, 90, 86, 72, 95, 55, 69, 72,
75, 92
N=35
x 73.1 sample mean
12.6 population standard deviation
0.05
z1.645 (right tailed test)
Test Stat
-0.89 this...

TestScore
53
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56
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84...

A hospital is wanting to know whether or not they should serve
caffeinated coffee in their waiting rooms.
The hospital tested 31 patients heart rates before coffee and
then again after 2 cups of coffee.
You are asked to determine if there is sufficient evidence to
show that caffeinated coffee increases heart rate.
1. Identify the claim. 2. State the null and alternative
hypotheses, in words and in symbolic form. 3. Explain what type of
test you will be performing...

Question 9-15 are based on the random
sample below which is obtained to test the following hypothesis
about the population mean. Test the hypothesis that the mean is
less than 80.
80
100
81
93
80
57
98
90
71
56
58
78
59
55
55
77
72
78
56
94
98
59
93
86
89
62
60
66
59
71
96
97
94
69
64
77
87
77
64
90
90
95
98
99
56
69
72
81
95...

Part 1 Hypothesis Test and Confidence Interval from 1 sample
Test ONE claim about a population parameter by collecting your
own data or using our class survey data. Include your
written claim, hypothesis in both
symbolic and written form, relevant statistics
(such as sample means, proportions etc.), test
statistic, p-value (or critical value),
conclusion, and interpretation of
your conclusion in the context of your claim. Use a 0.05
significance level.
You will also construct a 95% confidence interval
estimate of...

Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
97...

A statistics professor would like to build a model relating
student scores on the first test to the scores on the second test.
The test scores from a random sample of 21 students who have
previously taken the course are given in the table. Test Scores
Student First Test Grade Second Test Grade 1 83 59 2 53 75 3 79 65
4 90 59 5 67 67 6 63 72 7 60 69 8 58 72 9 77 66...

The Central Limit Theorem holds.
The following table gives pre and post test scores for boys and
girls in a drivers ed class.
Boys Pre-Test
Boys Post Test
Girls Pre-Test
Girls Post Test
45
63
55
75
57
75
62
88
71
82
66
85
66
90
59
93
62
92
72
70
58
78
69
93
63
94
70
89
60
90
64
74
Try to show the boys pre-test population mean is significantly
less than 65. Let =...

Hypothesis test for M&Ms:
This section will work through constructing and interpreting a
hypothesis test for
proportions. You can find the information for constructing a
hypothesis test in
section 10.2. We will be using the p-value approach with a 5%
significance level.
1. Treat your bag of M&M’s as a simple
random sample. Choose your favorite
color of M&M’s you will be working with for this project.
State the color
and give the counts below.
Color of choice: Green
The...

AM -vs- PM sections of Stats - Significance test (Raw
Data, Software Required):
There are two sections of statistics, one in the afternoon (PM)
with 30 students and one in the morning (AM) with 22 students. Each
section takes the identical test. The PM section, on average,
scored higher than the AM section. The scores from each section are
given in the table below. Test the claim that the PM section did
significantly better than the AM section, i.e., is...

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