Suppose x has a distribution with 𝜇 = 23 and 𝜎 = 17. (a) If a random sample of size n = 42 is drawn, fin

[answerhappygod]

Suppose x has a distribution
with 𝜇 = 23 and 𝜎 = 17.
(a) If a random sample of
size n = 42 is drawn,
find 𝜇x, 𝜎 x and P(23 ≤ x ≤ 25).
(Round 𝜎x to two decimal places and
the probability to four decimal places.)
(b) If a random sample of
size n = 72 is drawn,
find 𝜇x, 𝜎 x and P(23 ≤ x ≤ 25).
(Round 𝜎 x to two decimal places
and the probability to four decimal places.)
(c) Why should you expect the probability of part (b) to be higher
than that of part (a)? (Hint: Consider the standard
deviations in parts (a) and (b).)
The standard deviation of part (b)
is ---Select--- the same as smaller
than larger than part (a) because of
the ---Select--- smaller larger same sample
size. Therefore, the distribution
about 𝜇x is ---Select--- wider narrower the
same .