1. Show that B, and B are unbiased estimators of the true parameter ß. 2. Show that B1 is a linear estimator. 3. Show that B, is an inconsistent estimator
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- Given two estimators X1 and X2 for a population mean, E[X1] = 6, V[X1] = 4, and V[X2] = 5. If the true value of the population mean is 5, which of the following is(are) TRUE? A. X1 is an unbiased estimator.B. X2 is less precise than X1.A researcher predicts that scores in treatment A will be higher than scores in treatment B. If the mean for the n = 10 participants in treatment A is 4 points higher than the mean for the n = 10 participants in treatment B and the data produce t = 1.985, which decision should be made? a. reject H0 if α = .05 and if α = .01 b. fail to reject H0 if α = .05 and if α = .01 c. fail to reject H0 if α = .05 but reject H0 if α = .01 d. reject H0 if α = .05 but fail to reject H0 if α = .016) The line of best fit through a set of data isy=36.704+0.985xy=36.704+0.985xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 30?y = Round to 1 decimal place.
- Suppose that a researcher is interested in the average standardized test score for fifth graders in a local school district. The fifth graders at a specific school would comprise a ___________ and their average test score would be a ___________.A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test? H0:β1=0Ha:β1≠0H0:β1=0Ha:β1≠0 A H0:β1=0Ha:β1>0H0:β1=0Ha:β1>0 B H0:β1=0Ha:β1<0H0:β1=0Ha:β1<0 C H0:β1≠0Ha:β1=0H0:β1≠0Ha:β1=0 D H0:b1=0Ha:b1≠0 EWhich of the following statements is true? A. If a sample has 16 observations and a 90% confidence estimate for μ is needed, the appropriate t-score is 1.753. B. If a sample has 16 observations and a 99% confidence estimate for μ is needed, the appropriate t-score is 2.602. C. If a sample has 20 observations and a 95% confidence estimate for μ is needed, the appropriate t-score is 1.729. D. If a sample has 20 observations and a 98% confidence estimate for μ is needed, the appropriate t-score is 2.093.
- If X1, X2, ... , Xn constitute a random sample of size nfrom a geometric population, show that Y = X1 + X2 +···+ Xn is a sufficient estimator of the parameter θ.Here are some data compiled by a sports goods store.Indicates whether the following conclusions are true or false. 1) the average price of inline skates is $300. If we offera 20% discount on all models, the average price will be 240 s.2) the median price of climbing shoes is $110. At least halfmodels therefore have a price less than or equal to $110. a) 1: True 2: Trueb) 1: True 2: falsec) 1: false 2: Trued) 1: false 2: falseIf the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistent
- Which of the following is the best description of a multiple-baseline design? a. A study that takes several measures on nonequivalent groups before and after treatment. b. A study that takes baseline measures, then introducing the independent variable, and then retaking the baseline measures. c. A study that assesses the effects of introducing the treatment at different times over multiple subjects, behaviors, or situations. d. A study that reintroduces the independent variable after the second baseline measure.Which of the following is NOT CORRECT? A) The past purchase frequency (freqi) affects the purchase probability positively – i.e., customers with high past purchase frequency are more likely to purchase our product in the next year than those with low past purchase frequency. B) In general, customers are likely to buy our product because the baseline parameter is negative. C) High-income customers are more likely to purchase our product in the next year than low- income customers because the coefficient corresponding to the income variable (incomei) is positive. D) Although the number of flyers (nmaili) positively affects the purchase probability, it is not guaranteed that sending flyers to customers as many as possible maximizes profits.*A Consumer is willing to trade 3 unit of x for unit 1 of y ,when she has 6 unit of x and 5 unit of y.she also willing to trade in 6 unit of x for 2 unit of y,when she has 12 unit of x and 3 unit of y.she is indifferent between bundle (6,5) and bundle (12,3).what is the utility function of for goods x and y? hint: what is the shape of indifference curve?*