Question

uppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=174 days and standard deviation σ=18 days. Complete parts (a) through(f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 168 days? The probability that a randomly selected pregnancy lasts less than 168 days is approximately 0.3707 (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A,B,OR C? A. If 100 pregnant individuals were selected independently from this population, we would expect [ ]pregnancies to last exactly 168 days. B.If 100 pregnant individuals were selected independently from this population, we would expect [ ] pregnancies to last more than 168 days. C.If 100 pregnant individuals were selected independently from this population, we would expect [ ] pregnancies to last less than 168 days. (b) Suppose a random sample of 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is [skewed left, skewed right, or normal] with μx=[ ] and σx=[ ]. (Round to four decimal places as needed.) The probability that the mean of a random sample of 19 pregnancies is less than 168 days is approximately [ ](Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A.If 100 independent random samples of size n=19 pregnancies were obtained from this population, we would expect[ ]sample(s) to have a sample mean of 168 days or more. B.If 100 independent random samples of size n=19 pregnancies were obtained from this population, we would expect [ ] sample(s) to have a sample mean of exactly 168 days. C.If 100 independent random samples of size n=19 pregnancies were obtained from this population, we would expect [ ]sample(s) to have a sample mean of 168 days or less.

          uppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with mean μ=174 days
and standard deviation σ=18 days. Complete parts (a)
through(f) below.
(a) What is the probability that a randomly selected pregnancy
lasts less than 168 days?
The probability that a randomly selected pregnancy lasts less
than
168 days is approximately 0.3707
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and
fill in the answer box within your choice.
(Round to the nearest integer as needed.) A,B,OR C?
A. If 100 pregnant individuals were selected independently from
this population, we would expect [ ]pregnancies to last exactly
168 days.
B.If 100 pregnant individuals were selected independently from
this population, we would expect [ ] pregnancies to last more than
168 days.
C.If 100 pregnant individuals were selected independently from
this population, we would expect [ ] pregnancies to last less than
168 days.
(b) Suppose a random sample of 19 pregnancies is obtained.
Describe the sampling distribution of the sample mean length of
pregnancies.
The sampling distribution of x is [skewed left, skewed right, or
normal] with μx=[ ] and σx=[ ].
(Round to four decimal places as needed.)
The probability that the mean of a random sample of 19
pregnancies is less than 168
days is approximately [    ](Round to four decimal
places as needed.)
Interpret this probability. Select the correct choice
below and fill in the answer box within your choice.
(Round to the nearest integer
as needed.)
A.If 100 independent random samples of size n=19
pregnancies were obtained from this population, we would
expect[       ]sample(s) to have a sample mean
of 168
days or more.
B.If 100 independent random samples of size n=19
pregnancies were obtained from this population, we would
expect [     ]
sample(s) to have a sample mean of exactly 168
days.
C.If 100 independent random samples of size n=19
pregnancies were obtained from this population, we would
expect [         ]sample(s) to have a
sample mean of 168 days or less.

Added by Robert D.

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