Question

In: Statistics and Probability

The following sample of six measurements was randomly selected from a normally distributedpopulation: 2,5,−2,7,2,4a. Test the...

The following sample of six measurements was randomly selected from a normally distributedpopulation: 2,5,−2,7,2,4a. Test the null hypothesis that the mean of the population is 2 against the alternativehypothesis,μ <2.Useα=.05.b. Test the null hypothesis that the mean of the population is 2 against the alternativehypothesis,μ6= 2.Useα=.05.c. Find the observed significance level for each test

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

A sample of 10 measurements, randomly selected from a normally distributed population, resulted in a sample...
A sample of 10 measurements, randomly selected from a normally distributed population, resulted in a sample mean=5.2, and sample standard deviation=1.8. Using ,alpha=0.01 test the null hypothesis that the mean of the population is 3.3 against the alternative hypothesis that the mean of the population < 3.3, by giving the following: degrees of freedom =9 critical t value the test statistic
A sample of 15 measurements, randomly selected from a normally distributed population, resulted in a sample...
A sample of 15 measurements, randomly selected from a normally distributed population, resulted in a sample mean, x¯¯¯=6.1 and sample standard deviation s=1.92. Using α=0.1, test the null hypothesis that μ≥6.4 against the alternative hypothesis that μ<6.4 by giving the following. a) The number of degrees of freedom is: df= . b) The critical value is: tα= . c) The test statistic is: ttest=
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d ¯ =5.3 d¯=5.3 and a sample standard deviation of sd = 7.2. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ ,...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d⎯⎯=4.2d¯=4.2 and a sample standard deviation of sd = 7.6. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ ,  ] ; (Click to...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d⎯⎯=4.2d¯=4.2 and a sample standard deviation of sd = 7.6. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ ,  ] ; (Click to...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d¯ =4.6d¯ =4.6 of and a sample standard deviation of sd = 7.6. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ ,  ] ;...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d⎯⎯ =4.0d¯ =4.0 of and a sample standard deviation of sd = 6.9. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ ,  ] ;...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d¯=4.3 and a sample standard deviation of sd = 7.2. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. (Round your answers to 2 decimal places.) Confidence interval = [ _____ , _____ ]; Yes or No? (b) Test the null hypothesis H0: µd = 0 versus the alternative hypothesis Ha:...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d¯ =4.1 of and a sample standard deviation of sd = 6.8. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ 2.15 , 6.05...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d⎯⎯ =5.9 of and a sample standard deviation of sd = 6.9. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ 2.35 , 5.65...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT