Question

A random sample of 12 high school seniors took a standardized mathematics test and made scores: 78, 78, 65, 77, 65, 81, 83, 59, 76, 75, 83, 59 Past scores at the same high school have been Normally distributed with LaTeX: \sigma σ =9.3 Is this sample evidence at the α =0.01 level that the average test score for all students is less than 75? State the hypotheses and calculate a test statistic and P-value in order to answer the question.

Answer #1

Scholastic Aptitude Test (SAT) mathematics scores of a random
sample of 500 high school seniors in the state of Texas are
collected, and the sample mean and standard deviation are found to
be 501 and 112, respectively. Find a 99% confidence interval on the
mean SAT mathematics score for seniors in the state of Texas.

Test C is a standardized test that all high school seniors take.
In an SRS of 28 seniors, the sample standard deviation is 16. A
high school counselor hypothesizes that the mean score on Test C
for all high school seniors is 59.
Here are the null and alternative hypotheses: H0 : µ = 59 H1 : µ
not equal to 59
(a) How far (in points) above/below 59 would the sample mean
have to be to reject the null...

Past experience indicates that the time required for high school
seniors to complete a standardized test is a normal random variable
with a standard deviation of
88
minutes. Test the hypothesis that
sigma equals 8σ=8
against the alternative that
sigma less than 8σ<8
if a random sample of the test times of
2323
high school seniors has a standard deviation
s equals 6.18s=6.18.
Use a
0.050.05
level of significance.

6.18 ACT scores of high school seniors. The
scores
of your state’s high school seniors on the ACT
college entrance examination in a recent year had
mean m 5 22.3 and standard deviation s 5 6.2. The
distribution of scores is only roughly Normal.
(a) What is the approximate probability that a single
student randomly chosen from all those taking the test
scores 27 or higher?(b) Now consider an SRS of 16 students who took
the
test. What are the...

The mean quantitative score on a standardized test for female
college-bound high school seniors was
550
The scores are approximately Normally distributed with a
population standard deviation of
50
A scholarship committee wants to give awards to college-bound
women who score at the
96TH
percentile or above on the test. What score does an applicant
need? Complete parts (a) through (g) below.The mean quantitative
score on a standardized test for female college-bound high school
seniors was
550
The scores are...

The state test scores for
12
randomly selected high school seniors are shown on the right.
Complete parts (a) through (c) below.
Assume the
The
state test scores for
1212
randomly selected high school seniors are shown on the right.
Complete parts (a) through (c) below.
Assume the population is normally distributed.
1430
1228
988
695
724724
830
722
750750
546
627
1447
943
the state test scores for
12
randomly selected high school seniors are shown on the right....

A random sample of 64 second-graders in a certain school
district are given a standardized mathematics skills test.
The sample mean score is 51.21. Assume the
standard deviation for the population of test scores is 15. The
nationwide average score on this test is 50. The school
superintendent wants to know whether the second-graders in her
school district have greater math skills than the nationwide
average. Perform the hypothesis test and compute the p-value. Round
to four decimal places.

In a recent year, scores on a standardized test for high school
students with a 3.50 to 4.00 grade point average were normally
distributed, with a mean of 38.238.2 and a standard deviation of
2.22.2. A student with a 3.50 to 4.00 grade point average who took
the standardized test is randomly selected. (a) Find the
probability that the student's test score is less than 3737. The
probability of a student scoring less than 3737 is 0.29120.2912.
(Round to four...

Below represent scores on an exam, each entry one score for one
student
40
99
59
98
63
63
64
65
67
35
67
67
68
70
71
71
71
46
72
72
60
73
74
74
74
75
97
75
62
76
76
76
76
76
77
57
77
98
77
63
78
78
78
79
79
80
80
80
80
80
81
81
92
81
93
82
82
83
83
83
83
83
83
83
84
84
84...

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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 46 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago