MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
In
quality–control
applications of hypothesis testing, the null and alternative hypotheses are frequently specified as
H0:
The production process is performing satisfactorily and
Ha:
The process is performing in an unsatisfactory manner. Accordingly,
α
is sometimes referred to as the producer's risk, while
β
is called the consumer's risk. An injection molder produces plastic golf tees with a
0.252
ounce. To investigate whether the injection molder is operating satisfactorily,
40
tees were randomly sampled from the last hour's production. Their weights (in ounces) are listed in the accompanying table. Complete parts a through
g.
|
0.248
|
0.251
|
0.249
|
0.250
|
0.255
|
0.251
|
0.251
|
0.248
|
0.248
|
0.251
|
|
|
0.254
|
0.252
|
0.256
|
0.251
|
0.252
|
0.253
|
0.250
|
0.254
|
0.254
|
0.254
|
|
|
0.251
|
0.251
|
0.252
|
0.249
|
0.249
|
0.251
|
0.252
|
0.253
|
0.248
|
0.252
|
|
|
0.252
|
0.252
|
0.249
|
0.252
|
0.249
|
0.253
|
0.252
|
0.249
|
0.249
|
0.251
|
b. Access the data and find
x
and s.|
x
|
=
|
enter your response here
|
|
s
|
=
|
enter your response here
|
|
|
|
(Round to four decimal places as needed.)
|
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 nowThis is a popular solution!
Step by stepSolved in 3 steps
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
d. Find the p-value for the test.
p-value=enter your response here
(Round to three decimal places as needed.)
Solution
by Bartleby Expert
Follow-up Question
c. Calculate the test statistic.
z=enter your response here
(Round to two decimal places as needed.)
Solution
by Bartleby Expert
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
d. Find the p-value for the test.
p-value=enter your response here
(Round to three decimal places as needed.)
Solution
by Bartleby Expert
Follow-up Question
c. Calculate the test statistic.
z=enter your response here
(Round to two decimal places as needed.)
Solution
by Bartleby Expert
Knowledge Booster
Similar questions
- In the past, the mean lifetime for a certain type of flashlight battery has been 9.5 hours. The manufacturer has introduced a change in the production method and wants to perform a significance test to determine whether the mean lifetime has increased as a result. The hypotheses are: null: μ = 9.5 hours alternative: u 9.5 hours Suppose that the results of a significance test result in a rejection of the null hypothesis. If we later find out that the true population running time was actually equal to 10.5, what error has been committed? Type I and Type II error Type II error no error Type I errorarrow_forwardTest the claim that the mean GPA of night students is larger than 3.2 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.8H1:p<0.8 H0:p=0.8H1:p>0.8 H0:μ=3.2H1:μ>3.2 H0:μ=3.2H1:μ≠3.2 H0:μ=3.2H1:μ<3.2 H0:p=0.8H1:p≠0.8 Based on a sample of 55 people, the sample mean GPA was 3.22 with a standard deviation of 0.03The test statistic is (to 3 decimals)The critical value is (to 3 decimals)Based on this we fail to reject the null hypothesis reject the null hypothesisarrow_forwardA physical therapist is interested in studying the proportion of adults that receive a physical therapy treatment plan due to sciatica. The physical therapist states the proportion of adults that receive a physical therapy treatment plan due to sciatica is less than 0.30. If we would like to test the physical therapist's claim with a hypothesis test using a significance level of α=0.10 , which of the following choices are true? Select the correct answer below: There is a 10% chance we will conclude p=0.30, but is in fact p<0.30. There is a 10% chance of rejecting the null hypothesis. There is a 10% chance we will conclude p<0.30, but is in fact p=0.30. There is a 10% chance that p<0.30arrow_forward
- In a test of hypothesis, the null hypothesis is that the population mean is equal to 24 and the alternative hypothesis is that the population mean is not equal to 24. The test is to be made at the 5% significance level. The critical values of z are: a. –2.07 and 2.07 b. –1.65 and 1.65 c. –1.96 and 1.96 d. –2.17 and 2.17arrow_forwardYou want to test the following hypotheses. There are three categories: x, y and z. H0: px = .20, py = .40, and pz = .40 HA: The population proportions are not px = .20, py = .40, and pz = .40 A sample size of 200 resulted in 20 observations in category x, 120 in category y and 60 in category z. Use α = .01 and test to see whether the proportions are as stated in H0. Use the p-value approach. How many degrees of freedom are there?arrow_forwardA local coach wants to see if training in light rooms or dark rooms impacts athlete performance. With the single team, the coach tries training in different conditions and takes measurements. She ran her analysis in Microsoft Excel and received the following output table. If the P value is less than 0.05, the null hypothesis may be rejected. Based on the data table, what decision should the coach make about the hypothesis? Coach should reject the null hypothesis. Coach should fail to reject the null hypothesis. Coach should accept the null hypothesis. Coach does not have enough information to decide.arrow_forward
- Test the claim that the proportion of people who own cats is smaller than 60% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 H0:μ≥0.6H0:μ≥0.6H1:μ<0.6H1:μ<0.6 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:μ≤0.6H0:μ≤0.6H1:μ>0.6H1:μ>0.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 200 people, 51% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardwhile estimates vary, one website indicated that approximately 44% of US citizens have type O blood. A statistics class tested this claim by having students identify their blood types. In a sample of 64 students, 26 indicated their blood type to be type O. At a=.01, test that the percentage of US citizens with type O blood is less than 44%. The hypotheses for this situation are:arrow_forwardWhich of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.arrow_forward
- Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 300 people, 74% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardTest the claim that the mean GPA of night students is larger than 2.2 at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.55H0:p≤0.55HA:p>0.55HA:p>0.55 H0:μ=2.2H0:μ=2.2HA:μ≠2.2HA:μ≠2.2 H0:μ≥2.2H0:μ≥2.2HA:μ<2.2HA:μ<2.2 H0:p=0.55H0:p=0.55HA:p≠0.55HA:p≠0.55 H0:p≥0.55H0:p≥0.55HA:p<0.55HA:p<0.55 H0:μ≤2.2H0:μ≤2.2HA:μ>2.2HA:μ>2.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 35 people, the sample mean GPA was 2.25 with a standard deviation of 0.03The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardTest the claim that the mean GPA of night students is smaller than 2.7 at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ=2.7H0:μ=2.7H1:μ≠2.7H1:μ≠2.7 H0:p=0.675H0:p=0.675H1:p≠0.675H1:p≠0.675 H0:p≤0.675H0:p≤0.675H1:p>0.675H1:p>0.675 H0:μ≤2.7H0:μ≤2.7H1:μ>2.7H1:μ>2.7 H0:p≥0.675H0:p≥0.675H1:p<0.675H1:p<0.675 H0:μ≥2.7H0:μ≥2.7H1:μ<2.7H1:μ<2.7 The test is: right-tailed two-tailed left-tailed Based on a sample of 40 people, the sample mean GPA was 2.65 with a standard deviation of 0.07The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
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