Question
In: Statistics and Probability
Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a...
Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five students who recently took the exam are 570, 620, 710, 540 and 480. We want to find a 95% confidence interval of the population mean of SAT math scores.
A) Calculate the point estimate. (Round to four decimal places as needed.)
B) Calculate the sample standard deviation. (Round to four decimal places as needed.)
C) Calculate the standard error of the sample mean. (Round to four decimal places as needed.)
D) Calculate the t-critical value. (Round to four decimal places as needed.)
E) Calculate the margin of error. (Round to four decimal places as needed.)
F) Calculate the lower and upper bounds of the confidence interval. (Report your answer in the form "(lower, upper)" with the two numeric values rounded to two decimal places)
Solutions
orchestra answered 2 years agoRelated Solutions
Scores for men on the verbal portion of the SAT test are normally distributed with a...
Scores for men on the verbal portion of the SAT test are
normally distributed with a mean of 509 and a standard deviation of
112. Randomly selected men are given the Columbia Review Course
before taking the SAT test. Assume the course has no effect.
a) If 1 of the men is randomly
selected, find the probability his score is at least 590
b) If 16 of the men are randomly
selected, find the probability that their mean score is...
Scores for men on the verbal portion of the SAT-I test are normally distributed with a...
Scores for men on the verbal portion of the SAT-I test are
normally distributed with a mean of 509 and a standard deviation of
112.
(a) If 1 man is randomly selected, find the probability
that his score is at least 586.
(b) If 10 men are randomly selected, find the
probability that their mean score is at least 586.
(c) 10 randomly selected men were given a review course before
taking the SAT test. If their mean score is 586, is...
Scores for men on the verbal portion of the SAT-I test are normally distributed with a...
Scores for men on the verbal portion of the SAT-I test are
normally distributed with a mean of 509 and a standard deviation of
112. Randomly selected men are given the Columbia Review Course
before taking the SAT test. Assume that the course has no
effect.
a. If 1 of the men is randomly selected, find the probability
his score is at least 590.
b. If 16 of the men are randomly selected, find the probability
that their mean score...
Scores for men on the verbal portion of the SAT-I test are normally distributed with a...
Scores for men on the verbal portion of the SAT-I test are
normally distributed with a mean of 509 and a standard deviation of
112.
(a) If 1 man is randomly selected, find the probability
that his score is at least 585.
(b) If 16 men are randomly selected, find the
probability that their mean score is at least 585.
16 randomly selected men were given a review course before taking
the SAT test. If their mean score is 585, is there...
33. 2017 SAT scores All sections of the test are known to be normally distributed with...
33. 2017 SAT scores All sections of the test are known to be
normally distributed with mean of approximately mean of 1060 and
standard deviation of 195
(a) Draw a normal curve with the parameters labeled.
(b) Shade the region that represents the proportion of test
takers who scored less than 1200.
(c) Suppose the area under the normal curve to the left of X =
1200 is 0.7636. Provide two interpretations of this result.
According to the college board, scores by women on the SAT-I test were normally distributed with...
According to the college board, scores by women on the SAT-I
test were normally distributed with a mean of 998 and standard
deviation of 202. Score by women on the ACT test are normally
distributed with a mean of 20.9 and a standard deviation of 4.6.
Assume that the two tests use different scales to measure the same
aptitude
a) If a woman gets an SAT-I score in the 67thh percentile, find
her actual SAT-I score and her equivalent ACT...
The combined math and verbal scores for females taking the SAT-I test are normally distributed with...
The combined math and verbal scores for females taking the SAT-I
test are normally distributed with a mean of 998 and a standard
deviation of 202 (based on date from the College Board). If a
college includes a minimum score of 1100 among its requirements,
what percentage of females do not satisfy that requirement?
The following are the average scores on the mathematics part of the Scholastic Aptitude Test (SAT)...
The following are the average scores on the mathematics part of
the Scholastic Aptitude Test (SAT) for some of the years from 1994
to 2009.
Year, SAT Score
1994 504
1996 508
1998 512
2000 514
2002 516
2004 518
2005 520
2007 515
2009 515
Assuming a simple linear regression model, predict the average
scores in 1997, 2006 and 2008
It is believed that standardized test scores, such as SAT, is a good predictor of first-year...
It is believed that standardized test scores, such as SAT, is a
good predictor of first-year college students' GPA. x 1200 1120
1000 1420 1280 750 1100 y 3.2 2.5 2.7 3.5 2.9 2.2 2.3 1. Find the
the correlation coefficient. Round your final answer to four
decimal places. r = 2. Write the regression equation below. Round
all numbers to four decimal places. ˆ y = 3. Using the data shown
above, predict a student's first-year GPA when the...
3) Scores on the SAT are normally distributed with a mean of 500 and a standard...
3) Scores on the SAT are normally distributed with a
mean of 500 and a standard deviation of 100
What is the probability of obtaining a score greater than
640?
What is the probability of obtaining a score less than
390?
What is the probability of obtaining a score between 725 and
800?
What is the probability of obtaining a score either less than
375 or greater than 650?
4) If you obtained a score of 75 on an test,...
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