a. State the appropriate null and alternative hypotheses for testing the requirement regarding the mean value. O A. Ho: H< 10 HA:H2 10 OC. Ho: H> 10 HA:uS 10 OF. Ho: u# 1o Ο Β. Hρ; με 10 HA:H# 10 OD. Ho μ2 10 Ο Ε. Hρ; μs 10 HA:H<10 HA: H> 10 HA: H= 10 b. Referring to part a, test the hypotheses using a significance level equal to 0.05. What assumption will be required? Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. Ift< -to 025= ,or if t>to.025 -reject the null hypothesis. O B. Ift< - to os . reject the null hypothesis. O C. Ift>to.05 - 1.83, reject the null hypothesis. Compute the test statistic. t=O (Round to two decimal places as needed.)

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
Topic Video
Question
A software design firm has developed a prototype educational computer game for children. One of the important factors in the success of a game like this is the time it takes the child to play the game. Two factors are important: the mean time it
takes to play and the variability in time required from child to child. Experience indicates that the mean time should be 10 minutes or less and the standard deviation should not exceed 2 minutes. The company has decided to test this prototype
with 10 children selected at random from the local school district. The following values represent the time (rounded to the nearest minute) each child spent until completing the game. Use these data to complete parts a through c below.
7
11
9
10
12
10
9
15
11
12
a. State the appropriate null and alternative hypotheses for testing the requirement regarding the mean value.
Ο Α. Ho μ< 10
HA : μ2 10
O C. H: μ> 10
HA: HS 10
В. Но: 3 10
HA: H# 10
O F. Ho: µ# 10
HA: H = 10
D. Ho: H2 10
Е. Но: S10
HA:H<10
HA: H> 10
b. Referring to part a, test the hypotheses using a significance level equal to 0.05. What assumption will be required?
Construct the rejection region and define the decision rule.
(Round to two decimal places as needed.)
O A. Ift< - to.025 =
or if t> to.025 =
reject the null hypothesis.
%3D
O B. Ift< - to.05 =
reject the null hypothesis.
C. Ift>to.05
= 1.83, reject the null hypothesis.
Compute the test statistic.
t =
(Round to two decimal places as needed.)
Transcribed Image Text:A software design firm has developed a prototype educational computer game for children. One of the important factors in the success of a game like this is the time it takes the child to play the game. Two factors are important: the mean time it takes to play and the variability in time required from child to child. Experience indicates that the mean time should be 10 minutes or less and the standard deviation should not exceed 2 minutes. The company has decided to test this prototype with 10 children selected at random from the local school district. The following values represent the time (rounded to the nearest minute) each child spent until completing the game. Use these data to complete parts a through c below. 7 11 9 10 12 10 9 15 11 12 a. State the appropriate null and alternative hypotheses for testing the requirement regarding the mean value. Ο Α. Ho μ< 10 HA : μ2 10 O C. H: μ> 10 HA: HS 10 В. Но: 3 10 HA: H# 10 O F. Ho: µ# 10 HA: H = 10 D. Ho: H2 10 Е. Но: S10 HA:H<10 HA: H> 10 b. Referring to part a, test the hypotheses using a significance level equal to 0.05. What assumption will be required? Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. Ift< - to.025 = or if t> to.025 = reject the null hypothesis. %3D O B. Ift< - to.05 = reject the null hypothesis. C. Ift>to.05 = 1.83, reject the null hypothesis. Compute the test statistic. t = (Round to two decimal places as needed.)
Because t is
the rejection region,
the null hypothesis and
that the mean time it takes to play is
than the hypothesized value.
What assumption is required for this test?
O A. That the population standard deviation is known.
B. That the students were randomly selected.
C. That the population is normally distributed.
D. That the sample size is suitably large.
c. State the appropriate null and alternative hypotheses regarding the standard deviation. Use the sample data to conduct the hypothesis test with a significance level = 0.05.
Formulate the null and alternative hypotheses.
OC. Ho: o? #4
В. Но: о? 54
HẠ: 0?>4
O A. Ho: o? = 4
HA: 0? #4
HA: o2 = 4
D. Ho: o2 >4
OF.
Ho:o224
HA: 02 < 4
Е.
Ho: o2 <4
HA: o2 24
HẠ: o254
Construct the rejection region and define the decision rule.
(Round to two decimal places as needed.)
Transcribed Image Text:Because t is the rejection region, the null hypothesis and that the mean time it takes to play is than the hypothesized value. What assumption is required for this test? O A. That the population standard deviation is known. B. That the students were randomly selected. C. That the population is normally distributed. D. That the sample size is suitably large. c. State the appropriate null and alternative hypotheses regarding the standard deviation. Use the sample data to conduct the hypothesis test with a significance level = 0.05. Formulate the null and alternative hypotheses. OC. Ho: o? #4 В. Но: о? 54 HẠ: 0?>4 O A. Ho: o? = 4 HA: 0? #4 HA: o2 = 4 D. Ho: o2 >4 OF. Ho:o224 HA: 02 < 4 Е. Ho: o2 <4 HA: o2 24 HẠ: o254 Construct the rejection region and define the decision rule. (Round to two decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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