Question

Suppose an *x* distribution has mean *μ* = 2.
Consider two corresponding *x* distributions, the
first based on samples of size *n* = 49 and the second based
on samples of size *n* = 81.

(a) What is the value of the mean of each of the two *x*
distributions?

For n = 49, μ_{x}= |

For n = 81, μx= |

Suppose *x* has a distribution with *μ* = 54 and
*σ* = 5.

Find *P*(50 ≤ *x* ≤ 55). (Round your answer to
four decimal places.)

Answer #1

For n = 49, = 54

For n = 81, = 54

P(50 < < 55)

= P((50 - )/() < ( - )/() < (55 - )/())

= P((50 - 54)/(5/) < Z < (55 - 54)/(5/))

= P(-5.6 < Z < 1.8)

= P(Z < 1.8) - P(Z < -5.6)

= 0.9641 - 0

= 0.9641

Suppose an x distribution has mean μ = 4. Consider two
corresponding x distributions, the first based on samples of size n
= 49 and the second based on samples of size n = 81.
(a) What is the value of the mean of each of the two x
distributions? For n = 49, μ x =
For n = 81, μ x =

Suppose an x distribution has mean μ = 4. Consider two
corresponding x distributions, the first based on samples of size n
= 49 and the second based on samples of size n = 81.
(a) What is the value of the mean of each of the two x
distributions?
For n = 49, μ x =
For n = 81, μ x =
(b) For which x distribution is P( x > 5) smaller?
Explain your answer.
The distribution...

Suppose an x distribution has mean μ = 4. Consider two
corresponding x distributions, the first based on samples of size n
= 49 and the second based on samples of size n = 81. (a) What is
the value of the mean of each of the two x distributions? For n =
49, μ x = For n = 81, μ x = (b) For which x distribution is P( x
> 5) smaller? Explain your answer. The distribution...

Suppose x has a distribution with μ = 19 and σ = 15. (a) If a
random sample of size n = 48 is drawn, find μx, σ x and P(19 ≤ x ≤
21). (Round σx to two decimal places and the probability to four
decimal places.) μx = σ x = P(19 ≤ x ≤ 21) = (b) If a random sample
of size n = 58 is drawn, find μx, σ x and P(19 ≤ x ≤...

Suppose x has a distribution with μ = 29 and σ = 25.
(a) If a random sample of size n = 41 is drawn, find μx, σ x
and P(29 ≤ x ≤ 31). (Round σx to two decimal places and the
probability to four decimal places.)
μx =
σ x =
P(29 ≤ x ≤ 31) =
(b) If a random sample of size n = 71 is drawn, find μx, σ x
and P(29 ≤ x ≤...

Suppose x has a distribution with μ = 23 and σ = 15. (a) If a
random sample of size n = 44 is drawn, find μx, σ x and P(23 ≤ x ≤
25). (Round σx to two decimal places and the probability to four
decimal places.) μx = σ x = P(23 ≤ x ≤ 25) = (b) If a random sample
of size n = 64 is drawn, find μx, σ x and P(23 ≤ x ≤...

Suppose x has a distribution with μ = 15 and σ = 12.
(a) If a random sample of size n = 32 is drawn, find μx, σ x and
P(15 ≤ x ≤ 17). (Round σx to two decimal places and the probability
to four decimal places.)
μx =
σ x =
P(15 ≤ x ≤ 17) =
(b) If a random sample of size n = 57 is drawn, find μx, σ x and
P(15 ≤ x ≤...

Suppose x has a distribution with μ = 11 and σ = 9.
(a) If a random sample of size n = 48 is drawn, find μx, σ x and
P(11 ≤ x ≤ 13). (Round σx to two decimal places and the probability
to four decimal places.)
μx =
σ x =
P(11 ≤ x (x bar) ≤ 13) =
(b) If a random sample of size n = 63 is drawn, find μx, σ x and
P(11 ≤...

Suppose x has a distribution with μ = 23 and σ = 15.
(a) If a random sample of size n = 32 is drawn, find μx, σ x and
P(23 ≤ x ≤ 25). (Round σx to two decimal places and the probability
to four decimal places.) μx = σ x = P(23 ≤ x ≤ 25) =
(b) If a random sample of size n = 73 is drawn, find μx, σ x and
P(23 ≤ x ≤...

Suppose x has a distribution with μ = 75 and
σ = 8.
(a) If random samples of size n = 16 are selected, can
we say anything about the x distribution of sample
means?
No, the sample size is too small.Yes, the x
distribution is normal with mean μx =
75 and σx =
0.5. Yes, the x distribution is
normal with mean μx = 75 and
σx = 2.Yes, the x
distribution is normal with mean μx =
75...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 11 minutes ago

asked 17 minutes ago

asked 30 minutes ago

asked 52 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago