The mean score earned on the math SAT is522. The standard deviation of these scores is32. A special prep course claims that the a have earned on the SAT,μ, is greater than 522. An independent researcher tests this by taking a random sample offifstudents who c mean score students in the sample earned on the math SAT was533. At the significance level of 0.05, can we conclude that the pop obtained is greater than522? Assume that the population standard deviation of course graduate scores is also32. Perform a one-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer (to) Formulate the null hypothesish and the alternative hypothesish ₁. ho:μ≤522 h₁ :μ> 522 Determine what type of test statistic to use. (b) (c) (d) Z Find the value of the test statistic. (Round to three or more decimal places.) 2.43068 Find the critical value. (Round to three or more decimal places.) H |x X O S X Р 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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(d): Your answer is wrong.
The mean score earned on the math SAT is522. The standard deviation of these scores is32. A special prep course claims that the average score its graduates
have earned on the SAT,μ,is greater than522. An independent researcher tests this by taking a random sample offiftstudents who completed the course; the
mean score students in the sample earned on the math SAT was533. At the significance level of0.05, can we conclude that the population mean of the scores
obtained is greater than522? Assume that the population standard deviation of course graduate scores is also32.
Perform a one-tailed test. Then complete the following.
Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .)
(to)
(b)
(c)
(d)
Formulate the null hypothesish and the alternative hypothesish
ho:μ ≤ 522
0
h
1
:μ
Z
> 522
Determine what type of test statistic to use.
Find the value of the test statistic. (Round to three or more decimal places.)
2.43068
Find the critical value. (Round to three or more decimal places.)
3
XI
☐#0
о р
0=0 OSO
X
S
O<O
Ś
Â
Transcribed Image Text:(d): Your answer is wrong. The mean score earned on the math SAT is522. The standard deviation of these scores is32. A special prep course claims that the average score its graduates have earned on the SAT,μ,is greater than522. An independent researcher tests this by taking a random sample offiftstudents who completed the course; the mean score students in the sample earned on the math SAT was533. At the significance level of0.05, can we conclude that the population mean of the scores obtained is greater than522? Assume that the population standard deviation of course graduate scores is also32. Perform a one-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .) (to) (b) (c) (d) Formulate the null hypothesish and the alternative hypothesish ho:μ ≤ 522 0 h 1 :μ Z > 522 Determine what type of test statistic to use. Find the value of the test statistic. (Round to three or more decimal places.) 2.43068 Find the critical value. (Round to three or more decimal places.) 3 XI ☐#0 о р 0=0 OSO X S O<O Ś Â
Perform a one-tailed test. Then complete the following.
Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .)
(to) Formulate the null hypothesish and the alternative hypothesish 1'
(b)
(c)
(d)
h
h
0
1
:
Z
μ — 522
:μ > 522
Determine what type of test statistic to use.
Find the value of the test statistic. (Round to three or more decimal places.)
2.43068
Find the critical value. (Round to three or more decimal places.)
0.00754
(and) Can we support the claim that the population mean score earned by
graduates is greater than522?
Yeah O No
μ
X
0=0
☐#0
X
O
S
OSO
O<O
Р
Ś
<Q
00
ロミロ
□<ロ
Transcribed Image Text:Perform a one-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' (b) (c) (d) h h 0 1 : Z μ — 522 :μ > 522 Determine what type of test statistic to use. Find the value of the test statistic. (Round to three or more decimal places.) 2.43068 Find the critical value. (Round to three or more decimal places.) 0.00754 (and) Can we support the claim that the population mean score earned by graduates is greater than522? Yeah O No μ X 0=0 ☐#0 X O S OSO O<O Р Ś <Q 00 ロミロ □<ロ
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