For a certain nationwide standardized test there are two commonly use preparation products on the market: Study Focus and Prepara. A researcher in the Education department at a nearby university wants to determine if there is any difference between the two products on the mean score on the test by their users. The researcher obtains the scores on the test from a random sample of 16 users of Study Focus and a random sample of 14 users of Prepara. (These samples are chosen independently.) For the users of Study Focus their sample mean is 486.4 with a sample variance of 9858. For the users of Prepara, their sample mean is 503.6 with a sample variance of 915.9. Assume that the two populations of scores are approximately normally distributed. Can the researcher conclude, at the 0.10 level of significance that there is a difference between the population mean of the scores on the test by the users of StudyFocus and the population mean of the scores on the test by the users of Prepara? Perform a two-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 alternate hypothesis H₁. Ho H₁ :0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: 0 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.10 level of significance, can the researcher conclude that there is a difference between the mean score on the test by the users of StudyFocus and the mean score on the test by the users Prepara? OYes No 3 |x 5 0=0 O X S 2 00 0#0 OO
For a certain nationwide standardized test there are two commonly use preparation products on the market: Study Focus and Prepara. A researcher in the Education department at a nearby university wants to determine if there is any difference between the two products on the mean score on the test by their users. The researcher obtains the scores on the test from a random sample of 16 users of Study Focus and a random sample of 14 users of Prepara. (These samples are chosen independently.) For the users of Study Focus their sample mean is 486.4 with a sample variance of 9858. For the users of Prepara, their sample mean is 503.6 with a sample variance of 915.9. Assume that the two populations of scores are approximately normally distributed. Can the researcher conclude, at the 0.10 level of significance that there is a difference between the population mean of the scores on the test by the users of StudyFocus and the population mean of the scores on the test by the users of Prepara? Perform a two-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 alternate hypothesis H₁. Ho H₁ :0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: 0 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.10 level of significance, can the researcher conclude that there is a difference between the mean score on the test by the users of StudyFocus and the mean score on the test by the users Prepara? OYes No 3 |x 5 0=0 O X S 2 00 0#0 OO
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:For a certain nationwide standardized test there are two commonly used
preparation products on the market: Study Focus and Prepara. A
researcher in the Education department at a nearby university wants to
determine if there is any difference between the two products on the
mean score on the test by their users.
The researcher obtains the scores on the test from a random sample of
16 users of StudyFocus and a random sample of 14 users of Prepara.
(These samples are chosen independently.) For the users of StudyFocus,
their sample mean is 486.4 with a sample variance of 9858. For the users of
Prepara, their sample mean is 503.6 with a sample variance of 915.9.
Assume that the two populations of scores are approximately normally
distributed. Can the researcher conclude, at the 0.10 level of significance,
that there is a difference between the population mean of the scores on
the test by the users of StudyFocus and the population mean of the
scores on the test by the users of Prepara?
Perform a two-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 H and the alternate hypothesis H₁.
Ho
H₁ :0
(b) Determine the type of test statistic to use.
Chi-square
Degrees of freedom:
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) At the 0.10 level of significance, can the researcher conclude that there is a
difference between the mean score on the test by the users of StudyFocus
and the mean score on the test by the users Prepara?
OYes No
3
Ix
X
0=0
a
X
S
2
0#0 O<O
Р
p
OSO 020
S
00
O>O
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman