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A company that manufactures computer chips wants to use a multiple regression model to study the effect that 4 different variables have on y, the total daily production cost (in thousands of dollars). Let denote the coefficients of the 4 variables in this model. Using 19 observations on each of the variables, the software program used to find the estimated regression model reports that the total sum of squares (SST) is 661.86 and the regression sum of squares (SSR) is 159.36 . Using a significance level of .10, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily production costs?
Perform a one-tailed test. Then fill in the table below.
The null hypothesis
The alternative hypothesis
The type of test statistic
The value of the test statistic (round to two decimal places)
The critical value at .10 level of significance.
She collected the employee performance ratings recorded before and after workshop attendance and stored the paired ratings for all 35 in Perform.
The project requires you forecast the historical data, replicating the appropriate trends, seasonalities, week-over-week variability, etc. Please refer to the chapter and materials on Forecasting for the procedures to do.
The Price-to-Earnings ratio (P/E) of a publicly listed profit-making company is defined as the ratio of the stock price of the company to the earnings per share.
Her results (in hours until turning a particular shade of brown) are in the table below. At ∞= .01, did she see a difference between the two treatments?
What is the probability that between 5 and 10 firms, inclusively, purchase a Unix machine from Sun Microsystems?
For a binomial probability experiment, with n=150 and p=.2, it is appropriate to use the normal approximation to the binomial distribution.
Students in the social work course received the following course grades. Create a frequency distribution for this data. Compute the mean. Determine the median.
What maximum variance of the raw score population could you have and still be able to reject the null hypothesis of μ = 20 (α = .05), if the sample size is 100 and the sample mean is 22?
A teacher divides her class into two groups. One group is taught a lesson on the computer and the other is taught by traditional lecture. The teacher then gives a test to see that group has better grades.
While it can't be denied that advertising impacts sales, it is also true that advertising is expensive and companies want to advertise in ways that have the greatest benefit for the amount of money spent.
Derive the probability distribution of the completion times - For each of the distribution in (i) above, calculate their relevant statistics. A task is known to have the following time to completion
As it is a 2 _ 2 table, try also two-tailed two-sample z test for ð1 = ð2 and verify that z2 is same as your chi-square statistic. Which test do you favour? Describe why?
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