top stu ents, an administrator at a college claims that this year's entering class must have a greater mean IQ score th entering classes from previous years. The administrator tests a random sample of 18 of this year's entering students and finds that their mean IQ score with a standard deviation of 9. The college records indicate that the mean IQ score for entering students from previous years is 113. Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of pm years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 3. Ix X O S 2 06 < 0=0 OSO Р 0

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Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of
entering classes from previous years. The administrator tests a random sample of 18 of this year's entering students and finds that their mean IQ score is 116,
with a standard deviation of 9. The college records indicate that the mean IQ score for entering students from previous years is 113.
Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, u, of this year's class is greater than that of previous
years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed.
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
esc
(a) State the null hypothesis H, and the alternative hypothesis H₁.
Ho :
H₁ :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the p-value. (Round to three or more decimal places.)
0
(e) Can we conclude that the mean IQ score of this year's class is greater than
that of previous years?
OYes No.
Explanation
-0-
Check
F2
20
F3
000
000 F4
F5
F6
μ
1x
X
07
=O
ESE
X
F7
O
S
2
00
<
OSO
S
F8
P
Р
P
8
>
20
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility
▶
F9
4
F10
F11
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E
Transcribed Image Text:Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 18 of this year's entering students and finds that their mean IQ score is 116, with a standard deviation of 9. The college records indicate that the mean IQ score for entering students from previous years is 113. Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, u, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) esc (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho : H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean IQ score of this year's class is greater than that of previous years? OYes No. Explanation -0- Check F2 20 F3 000 000 F4 F5 F6 μ 1x X 07 =O ESE X F7 O S 2 00 < OSO S F8 P Р P 8 > 20 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility ▶ F9 4 F10 F11 F12 E
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