Question
In: Statistics and Probability
A business school claims that students who complete a 3-month typing course can type a mean...
A business school claims that students who complete a 3-month typing course can type a mean of more than 1200 words an hour. A random sample of 25 students who completed this course typed a mean of 1163 words an hour, with a sample standard deviation of 87 words. Assume that typing speeds for all students who complete this course have an approximately normal distribution. (a) Using the critical value method and a significance level of 1%, is there evidence to support the business school’s claim? (b) What would a Type II error be in this case?
A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 70% of the offspring resulting from this cross will have red flowers. To test this, 80 seeds from this cross were collected and germinated and 46 plants had red petals. (a) Is there sufficient evidence at the 0.02 significance level to indicate the proportion of the hybrid plants with red petals differs from 70%? Use the P-value method in your test. (b) What would a Type I error be in this case?
Solutions
orchestra answered 1 year agoRelated Solutions
A business school claims that students who complete a 3-month typing course can type a mean...
A business school claims that students who complete a 3-month
typing course can type a mean of more than 1200 words an hour. A
random sample of 25 students who completed this course typed a mean
of 1125 words an hour, with a standard deviation of 85 words.
Assume that typing speeds for all students who complete this course
have an approximately normal distribution. A) Using the P-Value
method and a significance level of 1%, is there evidence to support...
To test the effectiveness of a business school preparation course, 8 students took a general business...
To test the effectiveness of a business school preparation
course, 8 students took a general business test before and after
the course. The results are given below.
Student Last Name
Score Before Course
Score After Course
Garcia
670
730
Lam
710
720
Rodriguez
870
860
Torriero
770
800
At the 0.05 level of significance, the conclusion for this
hypothesis test is:
a
Do not reject H0: there is sufficient evidence that
the business school preparation course has an impact on...
It is believed that the mean height of high school students who play basketball on the...
It is believed that the mean height of high school students who
play basketball on the school team is 73 inches with a standard
deviation of 1.8 inches. A random sample of 40 players is chosen.
The sample mean was 71 inches, and the sample standard deviation
was 1.5 years. Do the data support the claim that the mean height
is less than 73 inches? The p-value is almost zero. State the null
and alternative hypotheses and interpret the p-value....
A librarian claims that the mean number of books read per month by community college students...
A librarian claims that the mean number of books read per month
by community college students is less than 2 books. A random sample
of 28 community college student had read a mean of 2 books with a
standard deviation of 2.14 books. Test the librarian’s claim at the
0.01 level of significance.
State the hypotheses and identify the claim.
Find the critical value(s)
Compute the test value.
Make the decision to reject or not reject the null
hypothesis.
Summarize...
A researcher wants to determine whether high school students who attend an SAT preparation course score...
A researcher wants to determine whether high school students who
attend an SAT preparation course score significantly different on
the SAT than students who do not attend the preparation course. For
those who do not attend the course, the population mean is 1050 (μ
= 1050). The 16 students who attend the preparation course average
1150 on the SAT, with a sample standard deviationof 300. On the
basis of these data, can the researcher conclude that the
preparation course has...
A researcher wants to determine whether high school students who attend an SAT preparation course score...
A researcher wants to determine whether high school students who
attend an SAT preparation course score significantly different on
the SAT than students who do not attend the preparation course. For
those who do not attend the course, the population mean is 1050 (μ
= 1050). The 16 students who attend the preparation course average
1150 on the SAT, with a sample standard deviationof 300. On the
basis of these data, can the researcher conclude that the
preparation course has...
A researcher wants to determine whether high school students who attend an SAT preparation course score...
A researcher wants to determine whether high school students who
attend an SAT preparation course score significantly different on
the SAT than students who do not attend the preparation course. For
those who do not attend the course, the population mean is 1050 (μ
= 1050). The 16 students who attend the preparation course average
1150 on the SAT, with a sample standard deviation of 300. On the
basis of these data, can the researcher conclude that the
preparation course...
The dean of the school wants to know the proportion of students in the school who...
The dean of the school wants to know the proportion of students
in the school who prefer online classes for the next semester. How
do you conduct a research to estimate this proportion by sampling
(suppose that you can take only one sample of size n which is
smaller than the population size N, and also suppose that a %90
percent confidence interval is fine). - You should explain all
steps you take including how you make decision about sample...
1.I recently asked 100 middle school students to complete a statistics test. The mean score on...
1.I recently asked 100 middle school students to complete a
statistics test. The mean score on the test was 30 points with a
standard deviation of 5 points. The scores followed a normal
distributions. Using this information, calculate the following:
a. What is the probability a student earned a score of 45 points
or less? P (score < 45 points) =
b. What is the probability a student earned a score higher than
30 points? P(score > 30) =
c....
24)____________ An SAT prep course claims to improve the test scores of students. The
24)____________ An SAT prep
course claims to improve the test scores of students. The
table
shows the scores for seven students the first two times they
took
25)_____________ the verbal SAT. Before
taking the SAT for the second time, each
student
took a course to try to improve his or her verbal SAT
scores.
Test the claim at a = .05. List the a) null
hypothesis b) average
difference
between
the scores
Student
1
2...
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