Question
In: Statistics and Probability
Students studying at GWU spend an average of $172.50 per week on basic needs other than...
Students studying at GWU spend an average of $172.50 per week on basic needs other than housing. Use this figure as the population mean and assume that population standard deviation is $75.00.
- What is the probability that the mean expenditure for a sample of 35 students is within $20 of the population mean? What assumption do you need to make for this calculation?
- What is the probability that the mean expenditure for a sample of 50 students is within $20 of the population mean?
- What is the probability that the mean expenditure for a sample of 70 students is within $20 of the population mean?
- Which, if any, of the samples sizes in parts (a), (b), and (c) would you recommend in order to have at least a .95 probability that the sample mean is within $20 of the population mean?
- Using the standard error in c), calculate the value of x1, x2 such that P(x1 ≤ x ≤ x2) = .95 and express that result in terms of a range around the original population mean of $172.50. Hint: Use the conversion formula from z to x.
Solutions
orchestra answered 1 year agoRelated Solutions
The times that college students spend studying per week have a distribution that is skewed to...
The times that college students spend studying per week have a
distribution that is skewed to the right with a mean of 7.0 hours
and a standard deviation of 2.4 hours. Find the probability that
the mean time spent studying per week for a random sample of 45
students would be
a. between 7.4 and 8.2 hours.
b. less than 7.4 hours
. Note 1: Round your z values to 2 decimal places before looking
them up in the table...
The times that college students spend studying per week have a distribution skewed to the right...
The times that college students spend studying per week have a
distribution skewed to the right with a mean of 8.3 hours and a
standard deviation 2.6 of hours. Find the probability that the mean
time spent studying per week for a random sample of 55 college
students would be a. between 7.6 and 8.4 hours. Round your answer
to two decimal places. b. less than 8.1 hours. Round your answer to
two decimal places.
THE ANSWERS ARE NOT .49...
The times that college students spend studying per week have a distribution skewed to the right...
The times that college students spend studying per week have a
distribution skewed to the right with a mean of 7.6 hours and a
standard deviation of 2.6 hours. Find the probability that the mean
time spent studying per week for a random sample of 45 college
students would be
a. between 7.0 and 7.9 hours.
Round your answer to two decimal places.
P=____
b. less than 7.3 hours.
Round your answer to two decimal places.
P=____
From past studies the average time college freshmen spend studying is 22 hours per week. The...
From past studies the average time college freshmen spend
studying is 22 hours per week. The standard deviation is 4 hours.
This year, 60 students were surveyed, and the average time that
they spent studying was 20.8 hours. Test the claim that the time
students spend studying has not changed. Use a=1%
A researcher wants to support the claim that students spend less than 7 hours per week...
A researcher wants to support the claim that students
spend less than 7 hours per week doing homework. The sample size
for the test is 64 students. The drawing shown diagrams a
hypothesis test for population mean under the Null Hypothesis (top
drawing) and under the Alternative Hypothesis (bottom
drawing).
State the Null and Alternative Hypotheses.
Ha :
Ho :
What is the design probability associated with Type I
error?
What is the design probability associated with Type II
error?...
from past studies the average time college freshmen spend studying n 22 hours per week. The...
from past studies the average time college freshmen spend
studying n 22 hours per week. The standard deviation is 4 hours.
This year, 60 students were surveyed, and the average time that
they spent studying was 20.8 hours. Test the claim that the time
students spend studying has not changed. Use a=1%
According to the College Board, undergraduate students spend on average more than $1000 per year on...
According to the College
Board, undergraduate students spend on average more than $1000 per
year on textbooks.* As a college student, you've
suffered the high prices of textbooks, and you're going to do
something about it! Let's say that after you graduate, you decide
to start your own textbook publishing company. You will need to
find a way to appeal to both professors and students with high
quality and reasonably-priced products, but you've also got to make
a profit.
Feel...
A national study found that college students spend an average of 150 ( = 150) studying...
A national study found that college students spend an average of
150 ( = 150) studying during their first semester. A group of 41
AAMU students participated in The AAMU summer bridge students
studied an average of 146 hours (M = 146) during their first
semester. With a sum of squared deviations of 2,367 (SS – 2,367)
and a significance level of α = .01, did the summer bridge students
differ in the number of hours studied compared to college...
A student set out to see if female students spend more time studying than male students....
A student set out to see if female students spend more
time studying than male students. He randomly surveyed 30 females
and 30 males and asked them how much time they spend studying, on
average, per day. The data is obtained is shown below.
H0: mean study time for females = mean study time for
males
H1: mean study time for females > mean study time for
males
Which hypothesis should be supported?
# of hours spent studying
female counts...
A student set out to see if female students spend more time studying than male students....
A student set out to see if female students spend more
time studying than male students. He randomly surveyed 30 females
and 30 males and asked them how much time they spend studying, on
average, per day. The data is obtained is shown below.
H0: mean study time for females = mean study time for
males
H1: mean study time for females > mean study time for
males
Are there any assumptions that we must make about the
two populations...
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