1813 XTTA TROY Online ( Chtl Connect Question 2 (of 6) 2 16.66 points A coffee m

Question

1813 XTTA TROY Online ( Chtl Connect Question 2 (of 6) 2 16.66 points A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.35 cups per day and 1.49 cups per day for those drinking decaffeinated coffee. A random sample ot 49 regularcoffee drinkers showed a mean of 4 20 cups per day A sample of 45 decaffeinated cofee drinkers showed a mean of 5 10 cups per day Use the 05 significance level 1. This is a Click to select) tailed test 2. The decision rule is to reject Honuditz (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) 3. The test statstic is z (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places 4. What is your decision regarding Ho? (Click 10 select) . 6. The p value is eBook & Resources

Explanation / Answer

Ans:

1)Left tailed test(one tailed or directonal test)

2)Reject H0,if z<-1.64

3)standard error for difference in means=sqrt((1.35^2/49)+(1.49^2/45))=0.294

Test statistic:

z=(4.2-5.1)/0.294=-3.06

4)As,z=-3.06<-1.64,we Reject H0.

5)p-value=P(z<-3.06)=0.0011

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