Null Hypothesis and One-Tailed Tests
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To help schedule staffing and equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' Y, the number of beds occupied at the end of each day. Using hospital records from the most recent 18 days, a total of 2 independent variables are used to find the estimated regression model. Let and denote the coefficients of the 2 variables in this model. A computer printout indicates that the error sum of squares (SSE) associated with the model is 32.83 and the corresponding regression sum of squares (SSR) is 36.16. Using a significance level of 0.10, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily bed census?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.
Answer the Following:
Null hypothesis: H0:______
Alternative hypothesis: H1:______
Type of test statistic: (Z, t, Chi squared, F)
Value of test statistic:______
Critical value at the 0.1 level of significance:____
Can you conclude that at least one of the independent variables in the model provides useful information for predicting daily bed census?: (Yes/No)
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Solution Summary
The solution examines the null hypothesis and one-tailed test.
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To help schedule staffing and equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' Y, the number of beds occupied at the end of each day. Using hospital records from the most recent 18 days, a total of 2 independent variables are used to find the estimated regression model. Let B1 and B2 denote the coefficients of the 2 variables in this model. A computer ...
Purchase this Solution
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