Answer: CI = (0, 8)
Step-by-step explanation: The confidence interval for the difference in means is given as
Lower limit
= (x1 - x2) + margin of error
Upper limit
= (x1 - x2) - margin of error
Where x1 - x2 = 8 and the margin of error = 8
For the lower limit,
= 8 - 8 = 0
For the upper limit
= 8 + 8 = 16
Thus, CI = (0, 8)
Answer:
The answer is 12
Step-by-step explanation:
To resolve this issue, you simply multiply base 1 by height 1, which equals base 2 multiplied by height 2. Inserting our values yields 24 * 4 = 5 * height 2. By solving, we find the missing height to be 19.2.
Pr(X>1540.2) = 0.0655. Step-by-step explanation: The expected value indicated for the large bottle is E(Large) = 1016, and for the small bottle, E(small) = 510. This leads to an expected total E(total) = 1016 + 510 = 1526. The new mean calculated is thus 1526. To find the standard deviation, we derive the variance of each bottle. The variance for the large bottle is v(large) = 8^2 = 64, while for the small bottle it's v(small) = 5^2 = 25. Hence, the total variance is v(total) = 64+25 = 89, resulting in a new standard deviation sd(new) = sqrt(89) = 9.434. To find the probability, we compute using the new mean and standard deviation. The z score is derived as z = (x - mean)/sd = (1540.2 - 1526)/9.434 = 1.505. Looking up this z score gives P(z<1.51) = 0.9345. Consequently, for x > 1540.2, we have P(z > 1.51) = 1 - 0.9345 = 0.0655.
