You planted a vegetable garden last year including cucumbers. The packet of cucu

Question

You planted a vegetable garden last year including cucumbers. The packet of cucumber seeds that you used claimed that the seeds met the Federal Germination Standards of 80%. That means that at least 80% of the seeds in packet should have sprouted. If the packet contained 45 seeds, would it be appropriate to use a normal model to describe the distribution of the proportion of seeds that sprouted?

A. No, because you can not use a Normal modal with a proportion.

B. Yes, because all of the assumptions and conditions are met.

C. No, because the Success/Failure condition is not satisfied

D. No, because the 10% condition is not satisfied

The garden store claims that its seeds always have a germination rate higher than the federal standards of 80%. Using the sampling distribution of the sample proportion, what is the approximate probability that at least 85% of the seeds in a packet of 130 seeds will germinate? Assume all assumptions and conditions are met:

A. 0.003

B. 0.0766

C. 0.85

D. 0.05

The average score on the ACT for college seniors is 20.8 with a standard deviation of 4.8. Suppose a group of 60 high school seniors take the ACT. Let represent the mean ACT score of this group. Assume all conditions and assumptions are met for the sampling distribution of this sample mean, . What is the probability that the mean ACT score of this group of students will be less than 20?

A. 0.434

B. 0.5

C. 0.015

D. 0.098

Explanation / Answer

Average ACT = 20.8
Standard deviation =4.8
n =60
P(X<20)
= P(Z< (20-20.8)/ (4.8/sqrt(60))
= P(Z<-1.29)
=.0985

D is right

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