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17. How many observations are there?
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- Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average gestation period is 16 days. Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sMM= a. 31, b. 0.5232, c. 0.7328, d. 0.9158. The t statistic is- a. 1.50, b. 2.10, c. 2.63, d. 1.20 Now suppose you have a larger sample size n = 95. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same…Because sample variances are computed by dividing SS by n – 1, the average value of the sample variances from all possible random samples consistently _____ the population variance. underestimate overestimate equal Impossible to determine Which statement below is consistent with computing a weighted average of two individual samples? A computed weighted average will always be closer to the mean average of the larger sample than the mean average of the smaller sample. A computed weighted average will always be closer to the mean average of the smaller sample than the mean average of the larger sample. A weighted average will always equal the average of the two individual sample means. This cannot be determined from the information provided.If sample variance were to be computed by dividing Ss by n,then the average value of the sample variances from all the possible random samples would consistently ____ the population variance. underestimate equal impossible to determine overestimate
- Glaucoma is an eye disease that is manifested by high intraocular pressure. The distribution of intraocular pressure (I0P) in the general population is approximately normal with an average of 15 mm Hg and a variance of 9 mm Hg. If the normal range of intraocular pressure is considered between 12 mm Hg and 20 mm Hg, What is the percentage of the general population that will be in the normal range? This question requires evidence of the procedure! A. 4% B. 2% C. 0.7938 D. Other value (I've attached) E. 85% F. 1.67Scenario: Is there a relationship between worker type (X) and productivity (Y)? The researcher defined worker type (X) as blue or white collar, and productivity (Y) as "high" or "low". Question: What is the most appropriate statistical test to conduct given this scenario?A statistics professor takes a random sample of 25 students who have taken a special statistics class. He wants to test the null hypothesis that the grades of these students are, on average, less than or equal to those of the population of students who take the regular statistics test. The mean grade for the population is 75. The mean grade for the sample is 86 with a standard deviation of 10. Using a significance level of .05, test the null hypothesis.
- 1. Considering Earnings/Event as the dependent variable (outcome), perform the multiple linear regression using Excel with normal probability plot showing the linear trendlines. Explain the R2, F-stat (Anova) and the regression coefficients. 2. Write down the linear equation for Earnings/Event.Describe the important characteristics of the variance of a conditional distribution of an error term in a linear regression. What are the implicationsfor OLS estimation?ANOVA is based on an F-ratio that is calculated as the ratio of two variance estimates, the variance between groups and the variance within groups, but enables conclusions to be made about the means of the samples involved. What is the logic of that? I.e., explain the rationale that supports the use of variance estimates
- MEANS OF TWO SAMPLES (VARIANCES UNKNOWN) AND OBSERVED OBSERVATIONS Give the complete Test of HypothesisAssumption/s: One-way ANOVA can only be reliable if the data are normal Homoegeneity of variance is required for One-way ANOVA to be reliable. Provide proof/explanation.An instructor gives the same final exam every year. She knows that the μ = 79 but the population variance is unknown. She thinks that her current class is advanced, and will do better than past classes (have a higher mean). The class consists of 25 students, and their final exam class mean was 87 with a variance estimate of 400. Assume that the parametric assumptions are NOT violated. Did her class do statistically better than previous classes? Conduct an appropriate statistical test using α = .05. Write your answer using the 8 steps of hypothesis testing.