A researcher wanted to test whether the number of days a trial takes place has an effect on the time it takes the jury to deliberate.The researcher randomly selected 10 trials and collected data on how many days the trial took place and how many hours the jury took to deliberate.State the null and alternative hypothesis, and calculate the regression slope, the intercept, the correlation coefficient, and the coefficient of determination.What would the results indicate in terms of relating to the hypotheses and the amount of variation explained in the number of hours by the days?
Days (X) Hours (Y)
3 6
2 4
5 2
2 7
3 4
1 1
1 4
4 6
7 12
2 4
H0.: ? and r for trial days and hours of jury deliberation = 0.
H1.: ? and r for trial days and hours of jury deliberation < 0.
b= 1.03; a = 1.91; r = .64; r2 = .41; obtained t for the r = 39.51; critical t = 2.306; 41 percent of the variation in hours of deliberation is explained by the number of days the trial took.The strength of the relationship is strong and significant.The researcher would reject the null hypothesis.
H0.: ? and r for trial days and hours of jury deliberation = 0.
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