The mean SAT score in mathematics, μ , is 500 . The standard deviation of these scores is 34 . A special preparation course claims that its graduates will score higher, on average, than the mean score 500 . A random sample of 19 students completed the course, and their mean SAT score in mathematics was 507 . Assume that the population is normally distributed. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 34 . Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.1 level of significance: (Round to at least three decimal places.) Can we support the preparation course's claim that its graduates score higher in SAT?
The mean SAT score in mathematics, μ , is 500 . The standard deviation of these scores is 34 . A special preparation course claims that its graduates will score higher, on average, than the mean score 500 . A random sample of 19 students completed the course, and their mean SAT score in mathematics was 507 . Assume that the population is normally distributed. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 34 . Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.1 level of significance: (Round to at least three decimal places.) Can we support the preparation course's claim that its graduates score higher in SAT?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The mean SAT score in mathematics,
, is
. The standard deviation of these scores is
. A special preparation course claims that its graduates will score higher, on average, than the mean score
. A random sample of
students completed the course, and their mean SAT score in mathematics was
. Assume that the population is normally distributed . At the
level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also
.
μ
500
34
500
19
507
0.1
34
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table.
|
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