Suppose x has a distribution with a mean of 70 and a standard deviation of 15. Random samples of size n = 36 are drawn.

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Suppose x has a distribution with a meanof 70 and a standard deviation of 15. Random samplesof size n = 36 are drawn.
(a)
Describe the distribution.Choose one:
has abinomial distribution.
has anormal distribution.
has anapproximately normal distribution.
has ageometric distribution.
has aPoisson distribution.
has anunknown distribution.
Compute the mean and standard deviation of the distribution.(For each answer, enter a number.) = =
b) Find the z value correspondingto = 65.(Enter an exact number.)z =
c) Find P( < 65).(Enter a number. Round your answer to four decimal places.)P( < 65)=
(d) Would it be unusual for a random sample ofsize 36 from the x distribution tohave a sample mean less than 65? Explain.
Yes, it would be unusual because less than 5% of all suchsamples have means less than 65.
Yes, it would be unusual because more than 5% of all suchsamples have means less than 65.
No, it would not be unusual because more than 5% of all suchsamples have means less than 65.
No, it would not be unusual because less than 5% of all suchsamples have means less than 65.