We have 30 pairs of data with a mean of differences of 125 and standard deviation...
We have 30 pairs of data with a mean of differences of 125 and standard deviation of 2000. Test the claim that the mean difference is positive at alpha = 0.01. What is the distribution of the test statistic?
What is the DF of the distribution of the test statistic?
What is the standard error?
Does the confidence interval reject the claim?
Test the claim that the mean difference is negative at alpha = 0.01
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We have 30 pairs of data with a mean of differences of 125 and
standard deviation...
For a random sample of 36 data pairs, the sample mean of the differences was 0.72....
For a random sample of 36 data pairs, the sample mean of the differences was 0.72. The sample standard deviation of the differences was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0. (a) Is it appropriate to use a Student's t distribution for the sample test statistic? Explain. No, the sample size is not larger than 30. Yes, the sample size is larger than 30. No, the...
A random sample of 49 measurements from a population with population standard deviation o 3 had...
A random sample of 49 measurements from a population with population standard deviation o 3 had a sample mean of x, 9. An independeent random sample of sample mean of x, 11. Test the claim that the population means are 64 measurements from a second population with population standard deviation a2 4 had different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The student's t. We assume that both population distributions are approximately...
Now suppose a larger sample (30 pairs vs 10 pairs) was collected and a paired t test was used to analyze the data. The...
Now suppose a larger sample (30 pairs vs 10 pairs) was collected and a paired t test was used to analyze the data. The output is shown below. Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 Female salaries 6773.33 30 782.099 142.791 Male salaries 7213.33 30 875.227 159.794 Paired Samples Correlations N Correlation Sig. Pair 1 Female salaries & Male salaries 30 .881 .000 Paired Samples Test Paired Differences t df Sig. (2-tailed) Mean Std. Deviation...
Suppose you want to test the claim the the paired sample data given below come from...
Suppose you want to test the claim the the paired sample data given below come from a population for which the mean difference is μd=0. xy7866678183687180529154928286 Use a 0.01 significance level to find the following: (a) The mean value of the differnces d for the paired sample data d¯= (b) The standard deviation of the differences d for the paired sample data sd= (c) The t test statistic t= (d) The positive critical value t= (e) The negative critical value...
Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 Pre 30.3000 10 5.88878...
Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 Pre 30.3000 10 5.88878 Post 4.40833 The standard error of the mean is 1.39403 (second row) Paired Differences Mean Std. Deviation Std. Error Mean 95% Confidence Interval of the Difference t df Sig. (2-tailed) Lower Upper Post-Pre 5.20000 4.61399 .006 First- Please fill in the empty boxes. (a) The appropriate critical t-statistic(s) used by SPSS default settings for this analysis is/are (b) Based on the 95% confidence interval,...
A sample of 30 paired differences yielded a sample mean of = 5 and a sample standard...
A sample of 30 paired differences yielded a sample mean of = 5 and a sample standard deviation of 7. What is the value of the test statistic used to test the null hypothesis that the population mean difference is 0? Round your answer to 2 decimal places.
d. Determine the sample mean and sample standard deviation of the Blood Glucose for both men...
d. Determine the sample mean and sample standard deviation of the Blood Glucose for both men and women. Test the claim that the average mean Blood Glucose of women is different from the average mean Blood Glucose of men. Use α = 0.01. Hint: It would be helpful to sort the data based on gender. (8 points) Mean Glucose Female Standard Deviation Glucose Female Sample Size Female Mean Glucose Male Standard Devation Male Sample Size Male Hypotheses Test Statistic Critical...
Data Summaries Sample Mean Sample Std Dev Sample Size 79.998 11.588 1000 Hypothesis Testing Confidence Interval...
Data Summaries Sample Mean Sample Std Dev Sample Size 79.998 11.588 1000 Hypothesis Testing Confidence Interval Creation Level of Confidence: 95% Alpha (a) Value: 0.05 MOE 0.719 9 - MOE: 79.279 9 + MOE: 80.717 Confidence Interval Question What is the confidence interval telling you about the population parameter? Use the formula: df = n-1 Use the formula: (9-4_0)/(s/sqrt(n)) Degrees of Freedom: Alpha (a) Value: Test Statistic Value: Is your test statistic a z value or at value? P-Value Method...
We considered the differences between the reading and writing scores of a random sample of 200...
We considered the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey in Exercise 5.21. The mean and standard deviation of the differences are x̄read-write = -0.545 and 8.887 points respectively. (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. lower bound: points (please round to two decimal places) upper bound: points (please round to two decimal...
sample - 100 mean - 125 standard deviation- 20 find the sample size needed so that...
sample - 100 mean - 125 standard deviation- 20 find the sample size needed so that a 99% confidence interval will have a margin of error of two round the critical value to no less than three decimal points. A sample size of _ is needed so that a 99% confidence interval will have a margin of error of 2.
For a random sample of 36 data pairs, the sample mean of the differences was 0.72. The sample standard deviation of the differences was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0. (a) Is it appropriate to use a Student's t distribution for the sample test statistic? Explain. No, the sample size is not larger than 30. Yes, the sample size is larger than 30. No, the...
A random sample of 49 measurements from a population with population standard deviation o 3 had a sample mean of x, 9. An independeent random sample of sample mean of x, 11. Test the claim that the population means are 64 measurements from a second population with population standard deviation a2 4 had different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The student's t. We assume that both population distributions are approximately...
d. Determine the sample mean and sample standard deviation of the Blood Glucose for both men and women. Test the claim that the average mean Blood Glucose of women is different from the average mean Blood Glucose of men. Use α = 0.01. Hint: It would be helpful to sort the data based on gender. (8 points) Mean Glucose Female Standard Deviation Glucose Female Sample Size Female Mean Glucose Male Standard Devation Male Sample Size Male Hypotheses Test Statistic Critical...
Data Summaries Sample Mean Sample Std Dev Sample Size 79.998 11.588 1000 Hypothesis Testing Confidence Interval Creation Level of Confidence: 95% Alpha (a) Value: 0.05 MOE 0.719 9 - MOE: 79.279 9 + MOE: 80.717 Confidence Interval Question What is the confidence interval telling you about the population parameter? Use the formula: df = n-1 Use the formula: (9-4_0)/(s/sqrt(n)) Degrees of Freedom: Alpha (a) Value: Test Statistic Value: Is your test statistic a z value or at value? P-Value Method...
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