Question
In: Statistics and Probability
A random sample of 59 students was selected from the PSU student data base. Each student...
A random sample of 59 students was selected from the PSU student data base. Each student was asked their Sex and Height (in inches). Below are the summary results:
|
Sex |
N |
Mean |
SD |
|
Female |
42 |
66.10 |
2.58 |
|
Male |
17 |
70.12 |
3.66 |
a) Using the summary information,
estimate with 99% confidence the difference in heights between the
sexes and interpret these results. What are the exact degrees of
freedom used in the calculation of the t-statistic?
b) Is there enough evidence at a 1%
level of significance to conclude that males, on average, are
taller than females? Include hypotheses, p-value, decision, and
conclusion.
c) What assumptions would need to be
satisfied in order to safely use and interpret the results?
d) Now use Minitab to verify your
results. What is the output?
Solutions
orchestra answered 1 year agoRelated Solutions
A random sample of 59 students was selected from the PSU student data base. Each student...
A random sample of 59 students was selected from the PSU student
data base. Each student was asked their Sex and Height (in inches).
Below are the summary results:
Sex
N
Mean
SD
Female
42
66.10
2.58
Male
17
70.12
3.66
a) Using the summary information,
estimate with 99% confidence the difference in heights between the
sexes and interpret these results. What are the exact degrees of
freedom used in the calculation of the t-statistic?
b) Is there enough evidence...
A random sample of students from each class was taken and student GPAs were recorded. Determine...
A random sample of students from each class was taken and
student GPAs were recorded. Determine if there is evidence that the
mean GPA is not the same for all three groups. Use a 0.10 level of
significance.
Freshman
Sophomore
Junior
2.47
2.87
2.52
3.16
3.91
2.76
2.81
2.26
3.7
3.58
3.28
3.57
3.1
2.8
3.15
3.7
3.75
3.05
3.93
2.42
2.53
2.75
2.8
2.4
1.) What is the correct hypothesis statement?
2.) What is the value of the F-statistic...
ONE SAMPLE T TEST A random sample of 22 students’ weights from the student population of...
ONE SAMPLE T TEST
A random sample of 22 students’ weights from the student
population of palamar college were taken. The average weight of the
population of college students is µ = 140. The 22 students in the
sample had the following weights:
X
135 205
119 195
106 185
135 182
180 150
108 175
128 190
160 180
143 195
175 220
170 235
Please state your null hypothesis and alternative hypothesis,
both as an equation and in...
The following are the ages of a random sample of PSU Business majors summarized as a...
The following are the ages of a random sample of PSU Business
majors summarized as a stem-and-leaf plot:
1 | 8899
2 | 26777
3 | 56777
4 | 01122
The following are the ages of a random sample of PSU Math majors
summarized as a stem-and-leaf plot:
1 | 888888999
2 | 2479
3 | 1224
What is the IQR of the Business Major's ages?
IQR =
What is the range of the Business Major's ages?
Range =
What...
Suppose 59% of politicians are lawyers. If a random sample of size 750 is selected, what...
Suppose 59% of politicians are lawyers.
If a random sample of size 750 is selected, what is the
probability that the proportion of politicians who are lawyers will
differ from the total politicians proportion by less than 5%? Round
your answer to four decimal places.
A student is interested in the sleep quality of students. That student selects a random sample...
A student is interested in the sleep quality of students. That
student selects a random sample of 21 students (age 19-24 years)
from each four undergraduate years (Freshman, Sophomore, Junior and
Senior), and applies Pittsburgh Sleep Quality Index (PSQI) and
obtains their responses. PSQI includes 19 self-reported items and
is designed to evaluate overall sleep quality (Data are presented
in Table 1 below). The student is interested in determining whether
there is any evidence of a difference in sleep quality...
Suppose a simple random sample of 90 students from this district is selected. What is the...
Suppose a simple random sample of 90 students from this district
is selected. What is the probability that at least half of them
have brown eyes? (Use technology. Round your answer to three
decimal places.)
Brown eyes is 40%
I got 0.026 as my answer but the program is saying it is wrong,
can someone figure out the correct answer please
A student conducts a simple random sample of students from her high school and finds that...
A student conducts a simple random sample of students from her
high school and finds that 21 out of 100 students in her sample
regularly walk to school. Give a point estimate for the proportion
of all students at her high school who regularly walk to school.
For each combination of sample size and sample proportion, find the
approximate margin of error for the 95% confidence level. (Round
the answers to three decimal places.) In a sample of 16 students,...
A random sample of 22 students’ weights is drawn from student population. Investigate whether the average...
A random sample of 22 students’ weights is drawn from student
population. Investigate whether the average weight of student
population is different from 140 lb. 135 119 106 135 180 108 128
160 143 175 170 205 195 185 182 150 175 190 180 195 220 235 State
the null and alternative hypothesis (Ho and Ha). What are the n,X
̅, s? Compute the t-statistic. What is the degree of freedom (df)?
Find P-value from the table-D. Test the hypothesis...
The following data are from a random sample of 10 students who participated in a study...
The following data are from a random sample of 10 students who
participated in a study undertaken to investigate the effect of
sleep time (measured in average number of hours of sleep per night)
on GPA (grade point average, measured on a 4-point scale).
Student
Sleep time
GPA
1
7
3.28
2
9
3.16
3
8
3.75
4
6
2.50
5
4
2.45
6
8
2.91
7
7
3.53
8
6
3.02
9
3
2.30
10
8
3.48
a. Find...
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