In: Physics
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In: Biology
The reading speed of second grade students in a large city is approximately normal, with a mean of
88
words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f).
(a) What is the probability a randomly selected student in the city will read more than
92
words per minute?The probability is
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
A.If 100 different students were chosen from this population, we would expect
nothing
to read exactly
92
words per minute.
B.If 100 different students were chosen from this population, we would expect
to read more than
9292
words per minute.
C.If 100 different students were chosen from this population, we would expect
nothing
to read less than
92
words per minute.(b) What is the probability that a random sample of
12
second grade students from the city results in a mean reading rate of more than
92
words per minute?The probability is
nothing.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
A.If 100 independent samples of
nequals=12
students were chosen from this population, we would expect
nothing
sample(s) to have a sample mean reading rate of less than
92
words per minute.
B.If 100 independent samples of
nequals=12
students were chosen from this population, we would expect
nothing
sample(s) to have a sample mean reading rate of more than
92
words per minute.
C.If 100 independent samples of
nequals=12
students were chosen from this population, we would expect
nothing
sample(s) to have a sample mean reading rate of exactly
92
words per minute.(c) What is the probability that a random sample of
24
second grade students from the city results in a mean reading rate of more than
92
words per minute?The probability is
nothing.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
A.If 100 independent samples of
nequals=24
students were chosen from this population, we would expect
nothing
sample(s) to have a sample mean reading rate of less than
92
words per minute.
B.If 100 independent samples of
nequals=24
students were chosen from this population, we would expect
nothing
sample(s) to have a sample mean reading rate of more than
92
words per minute.
C.If 100 independent samples of
nequals=24
students were chosen from this population, we would expect
nothing
sample(s) to have a sample mean reading rate of exactly
92
words per minute.
(d) What effect does increasing the sample size have on the probability? Provide an explanation for this result.
A.Increasing the sample size increases the probability because
sigma Subscript x overbarσx
decreases as n increases.
B.Increasing the sample size increases the probability because
sigma Subscript x overbarσx
increases as n increases.
C.Increasing the sample size decreases the probability because
sigma Subscript x overbarσx
increases as n increases.
D.Increasing the sample size decreases the probability because
sigma Subscript x overbarσx
decreases as n increases.(e) A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of
19
second grade students was
90.5
wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice.
(Type integers or decimals rounded to four decimal places as needed.)
A.A mean reading rate of
90.5
wpm is unusual since the probability of obtaining a result of
90.5
wpm or more is
nothing.
This means that we would expect a mean reading rate of
90.5
or higher from a population whose mean reading rate is
88
in
nothing
of every 100 random samples of size
nequals=19
students. The new program is abundantly more effective than the old program.
B.A mean reading rate of
90.5
wpm is not unusual since the probability of obtaining a result of
90.5
wpm or more is
nothing.
This means that we would expect a mean reading rate of
90.5
or higher from a population whose mean reading rate is
88
in
nothing
of every 100 random samples of size
nequals=19
students. The new program is not abundantly more effective than the old program.(f) There is a 5% chance that the mean reading speed of a random sample of
23
second grade students will exceed what value?There is a 5% chance that the mean reading speed of a random sample of
23
second grade students will exceed
nothing
wpm. (Round to two decimal places as needed.
In: Statistics and Probability
(Causation and Correlation) Many professors notice that the students who sit in the first or second row in the classroom frequently earn higher grades in the course than students who sit towards the back of the classroom. Should professors view this relationship as one of causation? As one of correlation? Explain your answer.
In: Economics
There are 300 students enrolled in Business Statistics. Historically, exam scores are normally distributed with a standard deviation of 26.7. Your instructor randomly selected a sample of 40 examinations and finds a mean of 64.2. Determine a 90% confidence interval for the mean score for all students taking the course. 90% CI = to
In: Statistics and Probability
There are 300 students enrolled in Business Statistics. Historically, exam scores are normally distributed with a standard deviation of 26.7. Your instructor randomly selected a sample of 40 examinations and finds a mean of 64.2. Determine a 90% confidence interval for the mean score for all students taking the course. 90% CI = to
In: Statistics and Probability
compose a 250-500 word reflection exploring the connection between classroom management strategies and collaboration (with both students and colleagues), to minimize disruptive behavior in the inclusion classroom. How can such collaborations help create a safe environment in which the students can engage in meaningful learning and social interactions?
In: Psychology
1. What is an economic argument for public funding of education? Does this mean that schools should be publicly establishment/managed? What benefits would result if the government simply provided parents/students money for education and allowed parents/students to use this money to buy their education at whatever school they wished?
In: Economics
A music teacher knows from past records that 60% of students taking summer lessons play the piano. The instructor believes that this proportion may have dropped due to the popularity of wind and brass instruments. A random sample of 80 students yielded 43 piano players. Use α = .05.
In: Statistics and Probability
A researcher wants to test if the mean G.P.A. of CC students transferring to Sac State is above 3.3. She randomly samples 25 CC students and finds that their average G.P.A. is 3.45. Assuming that the standard deviation of G.P.A.’s is 0.5, what can the researcher conclude at the 5% significance level?
In: Statistics and Probability