Every year, all incoming high school freshmen in a large school district take a math placement test. For this year's test, the district has prepared two possi versions: Version 1 that covers more material than last year's test and Version 2 test that is similar to last year's test. The district suspects that the mean for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come offices to take Version 1, and it randomly selects 80 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean 112.7 points with a standard deviation of 14.1. The 80 incoming freshmen taking Version 2 score a mean of 117.3 points with a standard deviation of 15.5. Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean test score, ₁, for Version 1 is less than the mean test score, μ₂, for Version 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ O P S Ho :O H₁ :0 (b) Determine the type of test statistic to use. OSO (Choose one) Go to Set Submit Assi Continue © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 1 Act 59°F Cloudy X 4 2 ê

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
esc
Every year, all incoming high school freshmen in a large school district take a math placement test. For this year's test, the district has prepared two possible
versions: Version 1 that covers more material than last year's test and Version 2 test that is similar to last year's test. The district suspects that the mean score
for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come to its
offices to take Version 1, and it randomly selects 80 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean of
112.7 points with a standard deviation of 14.1. The 80 incoming freshmen taking Version 2 score a mean of 117.3 points with a standard deviation of 15.5.
Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the
samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean test
score, ₁, for Version 1 is less than the mean test score, μ₂, for Version 2? Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
4
μ σ p
S
X
H₁:0
H₁:0
6
(b) Determine the type of test statistic to use.
(Choose one)
Go to Ser Submit Assignment
Continue
Accessibility
11:44 AM
40)
5/2/2022
ety
F
?
Type here to search
14
$
%
5
6
17 4.
&
7
hp
8
3
0-0 050 020
© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
59°F Cloudy Go
8
112
prt sc
delete
←backspace
9
510
0° 0
)
O
num
lock
Transcribed Image Text:esc Every year, all incoming high school freshmen in a large school district take a math placement test. For this year's test, the district has prepared two possible versions: Version 1 that covers more material than last year's test and Version 2 test that is similar to last year's test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come to its offices to take Version 1, and it randomly selects 80 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean of 112.7 points with a standard deviation of 14.1. The 80 incoming freshmen taking Version 2 score a mean of 117.3 points with a standard deviation of 15.5. Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean test score, ₁, for Version 1 is less than the mean test score, μ₂, for Version 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. 4 μ σ p S X H₁:0 H₁:0 6 (b) Determine the type of test statistic to use. (Choose one) Go to Ser Submit Assignment Continue Accessibility 11:44 AM 40) 5/2/2022 ety F ? Type here to search 14 $ % 5 6 17 4. & 7 hp 8 3 0-0 050 020 © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 59°F Cloudy Go 8 112 prt sc delete ←backspace 9 510 0° 0 ) O num lock
(a) State the null hypothesis Ho 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.)
(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
(e) Can we support the claim that the mean test score for Version 1 is less than the mean test
score of Version 2?
OYes O No
Continue
Type here to search
O
3¹
F
no
μ σ
X
S
00
ロ=ロ OSO
X
W
Activate Winde
Go to Set Submit
Privacy Center
© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use
59°F Cloudy
CO
C
|x
<D
P
S
<Q
2010
>D
?
Transcribed Image Text:(a) State the null hypothesis Ho 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.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we support the claim that the mean test score for Version 1 is less than the mean test score of Version 2? OYes O No Continue Type here to search O 3¹ F no μ σ X S 00 ロ=ロ OSO X W Activate Winde Go to Set Submit Privacy Center © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use 59°F Cloudy CO C |x <D P S <Q 2010 >D ?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman