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.)
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
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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.)

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.)
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