Question

A sample of five third-graders took a reading test. They then participated in a reading improvement program, and took the test again to determine whether their reading ability had improved. Following are the test scores for each of the students both before and after the program. You want to see whether the mean reading score increased after the program.

After: 67 68 78 75 84

Before: 59 63 81 74 78

a. By using all those information from the above state what kind of hypothesis test you should use.

b. State the null hypothesis and alternative hypothesis in formula and complete words.

c. Using MINITAB to find the p-value for the test.

d. At α = 0.05, what is the appropriate conclusion? Which type of error is possible? Write your conclusion.

e. Using MINITAB to find the 97% confidence interval for the difference between the two population means.

Answer #1

Solution:

A sample of 54 students participate in a reading intervention
and their average spring reading comprehension score was 78. A
teacher conducts a one-tailed significance test and compares this
score to the average score of all 5th graders from last year, which
was 74. The p-value was found to be 0.02. What is the most
appropriate conclusion?
A. conclude that the intervention is not effective
b. conclude that the sample of 54 students improved their
reading skills
c. Conclude that students...

Sample scores from four different statistics class sections are
shown below. Run an ANOVA test on them and answer the following
questions:
Class 1
Class 2
Class 3
Class 4
95
79
77
81
99
68
91
96
75
84
84
68
76
78
84
89
82
74
75
78
97
93
82
75
93
95
82
88
83
88
85
98
86
95
96
59
What conclusion can we make about the hypothesis test?

A test of abstract reasoning is given to a random sample of
students before and after they completed a formal logic course. The
results are given below. At the 0.05 significance level, test the
claim that the mean score is not affected by the course using
PHANTOMS.
Before: 74, 83, 75, 88, 84, 63, 93, 84, 91, 77
After: 73, 77, 70, 77, 74, 67, 95, 83, 84, 75

Annie wants to test whether or not drinking coffee will
immediately increase heart rate while sitting in class. Six people
measured their heart rates before drinking coffee and then the same
six people took their heart rates after drinking their coffee.
Please calculate the t-statistic for this experiment; then state
the critical value; then come to a conclusion concerning the null
hypothesis; and then state what the implications are concerning
drinking coffee.
No
Coffee
Coffee
79
84
71
78
84 ...

A random sample of 37 second graders who participated in sports
had manual dexterity scores with mean 32.29 and standard
deviation
4.14.
An independent sample of 37 second graders who did not
participate in sports had manual dexterity scores with mean 31.88
and standard deviation
4.86.
(a)
Test to see whether sufficient evidence exists to indicate that
second graders who participate in sports have a higher mean
dexterity score. Use
α = 0.05.
State the null and alternative hypotheses. (Us...

8.
A
fish-oil manufacturer believes its product can boost mental acuity.
Listed below are the results of a memory exam on a group of
subjects with one column measuring their performance on the exam
before taking the supplement and the second measuring performance
of the same individual after taking the supplement for one month.
Using a 5% significance level, is there statistically sufficient
evidence to support the claim that the scores were higher following
one month of taking the fish-oil?...

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...

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...

Kuya teaches a two-trimester course in Passionate Analysis
Involving Numbers (PAIN). He would like to know if these students
improved their scores in their second trimester of the course. Is
there a significant difference in PAIN scores? Apparently a couple
students were too 'pained' and dropped out after the first
trimester (too bad so sad).
STUDENT
TRIMESTER 1
TRIMESTER 2
1
69
78
2
76
79
3
70
81
4
71
5
75
57
6
61
55
7
67
59...

A sample of 15 consumers provided the following product ratings
for three different products. Five consumers were randomly assigned
to test and rate each product.
Product
A
B
C
58
88
68
61
97
47
77
96
38
46
89
56
67
98
59
Use the Kruskal-Wallis test and α = 0.05 to determine
whether there is a significant difference among the ratings for the
products.
a) Find the value of the test statistic.
b) Find the p-value. (Round your...

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