Assume the population variances are equal for Male and Female GPA’s. Test the sample data to see if Male and Female Ph.D. candidate GPA’s (Means) are equal. Conduct a two-tail hypothesis test, ? =.05. Please do not write the answer in cursive.?
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Male GPA’s |
Female GPA’s |
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Sample Size |
17 |
15 |
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Sample Mean |
3.8 |
3.95 |
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Sample Standard Dev |
.5 |
.7 |
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Assume the population variances are equal for Male and Female GPA’s. Test the sample data to see...
The state labor relations board is investigating potential income inequality among male and female managers. It has compiled salaries (in dollars) from random samples of male and female managers working in a variety of companies. Use the Excel output for the F-test on variances and t-test on means to identify whether each of the following conclusions is correct. You must make a selection for each option. Click once to place a check mark for correct answers. Click twice to leave...
For four populations, the population variances are assumed to be equal. Random samples from each population provide the following data. Population Sample Size Sample Mean Sample Variance 1 11 40 23.4 2 11 35 21.6 3 11 39 25.2 4 11 37 24.6 Using a .05 level of significance, test to see if the means for all four populations are the same.
A marketing study was conducted to compare the mean age of male and female purchasers of a certain product. Random and independent samples were selected for both male and female purchasers of the product. It was desired to test to determine if the mean age of all female purchasers exceeds the mean age of all male purchasers. The sample data is shown here: Female: n = 10, sample mean = 50.30, sample standard deviation = 13.215 Male: n = 10,...
means are significantly different. Assume equal population variances. Use all five steps. Are juvenile defendants who are released pending adjudication processed more slowly than those who are detained? The JDCC data set records whether a juvenile was released and 4. 275 Population Means or Proportions -7 18 S 15.83 3. the number of months it took for that juvenile's case to reach a disposition. The sample will be narrowed to black female youth. Released juveniles (Sample 1) had a mean...
t-Test: Two-Sample Assuming Unequal Variances A two-sample test for means was conducted to test whether the mean number of movies watched each month differed between males and females. The Excel Data Analysis tool results are shown below. Female Male Mean 5.6 7.5 Variance 6.267 21.833 Observations 10 10 Hypothesized Mean Difference 0 DF 14 T Stat -1.133 P(T<=t) One-Tail 0.138 t Critical One-Tail 1.76 P(T<=t) Two-Tail 0.276 t Critical Two-Tail 2.144 a. Explain how to use this information to draw...
Comparing the means of two
independent population when the population variances are known and
unknownSuppose you conduct a study and intend to use a hypothesis test to compare the means of two independent populations. Your null hypothesis is that the two means are equal. That is, \(\mathrm{H}_{0}: \mu_{1}=\mu_{2}\), or equivalently, \(\mathrm{H}_{0}: \mu_{1}-\mu_{2}=0\). Following is a table of the information you gather. Assume the populations from which your samples are drawn are both normally distributed.Sample SizeSample MeanSample VarianceSample 1n_(1)=41bar(x)_(1)=14.3s_(1)^(2)=67.24Sample 2n_(2)=21bar(x)_(2)=13.6s_(2)^(2)=46.24
Assume that with a sample size of 17 you conduct a test on a population mean with unknown standard deviation. What should the degrees of freedom of T0 be?
Assuming that the population variances are equal, is there evidence that the overall score of pharm is greater than grocery-store pharmacies (a.05)? a) State the null hypothesis b) State the alternative hypothesis c) What critical values should be used? d) What is the test statistic? e) What is the p-value? a) b) c) d) e) eaning of the p-value be rejected g) h) g) Should the nu h) What is the conclusio ) State one of the assumption j) State...
Summary is obtained from two independent Normal samples
a). Test whether one can assume equal variances.
b) With a suitable test procedure, test for equality of means
.
Sample1 20 28 8 Sample2 40 Sample size Sample mean Sample standard deviation 10
Stress between males and females
*Note: alpha = .001
1 t-Test: Two-Sample Assuming Unequal Variances Female Male 4 Mean 5 Variance 6 Observations 7 Hypothesized Mean Difference 3.655737705 3.52857143 1.296174863 1.12236025 70 61 8 df 9 t Stat 10 P(T-t) one-tail 11 t Critical one-tail 12 P(T<-t) two-tail 13 t Critical two-tail 124 0.658596658 0.255687918 3.157259054 0.511375836 3.370720124 Student Survey Data (2 Sample t-test) 1. Test Decision & Basis 2. Interpretation of Test Decision: