There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious ap
1 answer:
Answer:
98% confidence interval is (-0.105 , 0.265)
Step-by-step explanation:
n1 = 75 n2 = 75
X1 = 48 X2 = 42
P1 = X1/N1 = 0.64 P2 = X2/N2 = 0.56
98% confidence interval for difference between two proportions is :
P1 - P2 <u>+</u> Z
= 0.08 <u>+</u> 0.185
= (-0.105 , 0.265)
98% confidence interval is (-0.105 , 0.265)
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Answer:
d. The average is equal to 12 ounces.
Step-by-step explanation:
In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:
The correct alternative is d. The average is equal to 12 ounces.
When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;
where, P(A) = probability of occurrence of event A
and P(B) = probability of occurrence of event B
(a).
Now, let event A = Sarah scores more than 175
and event B = Thomas scores more than 175
Thus, P(A)= Probability that Sarah scores more than 175 = 0.4
and P(B)= Probability that Thomas scores more than 175 = 0.2
Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,
Hence, the required probability is 0.08
(b).
When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;
Now, let event A = Sarah scores more than 175
and event B = Thomas scores more than 175
Thus, P(A)= Probability that Sarah scores more than 175 = 0.4
P(B)= Probability that Thomas scores more than 175 = 0.2
and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3
Thus, the required probability is calculated as follows;