Question

In: Statistics and Probability

If two random samples, each with n = 60 scores, are selected from a population, and...

If two random samples, each with n = 60 scores, are selected from a population, and the z-score and t statistic are computed for each sample, the t statistics will be less variable than the z-scores.

Solutions

Expert Solution

No, the z-score will be less variable than t-statistics.

Because the sample standard deviation is less than the population standard deviation.

                                     

                                         

                                       

                                            

                          

                                           

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Random samples of size n = 60 were selected from a binomial population with p =...
Random samples of size n = 60 were selected from a binomial population with p = 0.2. Use the normal distribution to approximate the following probabilities. (Round your answers to four decimal places.) (a)     P(p̂ ≤ 0.22) = (b)     P(0.18 ≤ p̂ ≤ 0.22) =
A random sample of n = 100 scores is selected from a normal population with a...
A random sample of n = 100 scores is selected from a normal population with a mean of μ = 60 and a standard deviation of σ = 20. What is the probability of obtaining a sample mean greater than M = 57?
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations 1 and 2 produced 37 and 30 successes, respectively. Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.05. (a) The test statistic is   (b) The P-value is (c) The final conclusion is A. We can reject the null hypothesis that (p1−p2)=0 and conclude that (p1−p2)≠0. B. There is not sufficient evidence to reject the null hypothesis that (p1−p2)=0.
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations 1 and 2 produced 23 and 13 successes, respectively. Test H0:(p1−p2)=0H0:(p1−p2)=0 against Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.03α=0.03 (a) The test statistic is (b) The P-value is
1 point) Independent random samples, each containing 60 observations, were selected from two populations. The samples...
1 point) Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations 1 and 2 produced 33 and 22 successes, respectively. Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.08. (a) The test statistic is____ (b) The P-value is ____ (c) The final conclusion is A. We can reject the null hypothesis that (p1−p2)=0 and accept that (p1−p2)≠0. B. There is not sufficient evidence to reject the null hypothesis that (p1−p2)=0.
Random samples of size n = 90 were selected from a binomial population with p =...
Random samples of size n = 90 were selected from a binomial population with p = 0.8. Use the normal distribution to approximate the following probability. (Round your answer to four decimal places.) P(p̂ > 0.78) =
In order to compare the means of two populations, independent random samples of 234 observations are selected from each population, with the following results:
  In order to compare the means of two populations, independent random samples of 234 observations are selected from each population, with the following results: Sample 1 Sample 2 x¯¯¯1=0x¯1=0 x¯¯¯2=4x¯2=4 s1=145s1=145 s2=100s2=100 (a)    Use a 99 % confidence interval to estimate the difference between the population means (μ1−μ2). _______ ≤ (μ1−μ2) ≤ ________ (b)    Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative hypothesis: Ha:(μ1−μ2)≠0. Using α=0.01α=0.01, give the following:    the test statistic z= The final conclusion is A. There is not...
In order to compare the means of two populations, independent random samples of 253 observations are selected from each population, with the following results:
  In order to compare the means of two populations, independent random samples of 253 observations are selected from each population, with the following results: Sample 1 Sample 2 x¯1=1 x¯2=2 s1=190 s2=145 (a)    Use a 97 % confidence interval to estimate the difference between the population means (μ1−μ2). ≤(μ1−μ2)≤(b)    Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative hypothesis: Ha:(μ1−μ2)≠0. Using α=0.03, give the following:    the test statistic z= The final conclusion is A. There is not sufficient evidence to reject the...
In order to compare the means of two populations, independent random samples are selected from each...
In order to compare the means of two populations, independent random samples are selected from each population, with the results shown in the table below. Use these data to construct a 98% confidence interval for the difference in the two population means. Sample 1 Sample 2 Sample size 500 400 Sample mean 5,280 5,240 Sample standard dev. 150 200
A sample of n=25 scores is selected from a normal population with μ = 100 and...
A sample of n=25 scores is selected from a normal population with μ = 100 and σ = 20 . a. What is the probability that the sample mean will be greater than 120? b. What is the probability that the sample mean will be less than 105? c. What is the p (90 < M < 110)?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT