Question

*1.) X* ~ *N*(60, 9). Suppose that you form random
samples of 25 from this distribution. Let¯¯¯¯¯XX¯ be the random
variable of averages. Let *ΣX* be the random variable of
sums. For parts c through f, sketch the graph, shade the region,
label and scale the horizontal axis for¯¯¯¯¯XX¯, and find the
probability. **Using Excel and Excel functions for each
question show me how you got your answer.**

- ¯¯¯¯¯XX¯ ~ _____(_____,_____)
*P*(¯¯¯xx¯< 60) = _____- Find the 30
^{th}percentile for the mean. *P*(56 <¯¯¯xx¯< 62) = _____*P*(18 <¯¯¯xx¯ < 58) = _____

Don't forget to use excel and the functions.

Answer #1

Central limit theorem:- if x follows the normal distribution with mean u and std deviation is sigma then for any n, the sample mean(xbar) follows the normal distribution with mean u & std dev (sigma/root (n))

Here X follows N(60,9) then for n =25, the sample mean xbar have mean 60 & std dev = 9 / root(25) = 9/5 = 1.8

xbar have mean 60 & std deviation 1.8

mean | std deviation | ||||

60 | 1.8 | ||||

Question | explanation | Formula | Probability | ||

Q.1) | P(xbar < 60) | NORM.DIST(60,60,1.8,1) | 0.5 | ||

Q.2) | 30th Percentile | P30 | P(xbar < a) = 0.30 | NORM.INV(0.3,60,1.8) | 59.06 |

Q.3) | P(56 < xbar < 62) | P(xbar < 62) - P(xbar < 56) | NORM.DIST(62,60,1.8,1) - NORM.DIST(58,60,1.8,1) | 0.73 | |

Q.4) | P(18 < xbar < 58) | P(xbar < 58) - P(xbar < 18) | NORM.DIST(58,60,1.8,1) - NORM.DIST(18,60,1.8,1) | 0.13 | |

X ~ N(60, 13). Suppose that you form random
samples of 25 from this distribution. Let X
be the random variable of averages. Let ΣX be the
random variable of sums.
1. Sketch the graph, shade the region, label and scale the
horizontal axis for X,
and find the probability. (Round your answer to four decimal
places.)
P(56 < X < 62) =
2.Sketch the graph, shade the region, label and scale the
horizontal axis for X,
and find the...

1. X ~ N(60, 11). Suppose that you form random samples of 25
from this distribution. Let X be the random variable of averages.
Let ΣX be the random variable of sums. Find the 30th percentile.
(Round your answer to two decimal places.)
2. X ~ N(50, 12). Suppose that you form random samples of 25
from this distribution. Let X be the random variable of averages.
Let ΣX be the random variable of sums. Sketch the graph, shade the...

X ~ N(70, 9). Suppose that you form random samples of 25 from
this distribution. Let X be the random variable of averages. Let ΣX
be the random variable of sums.
B) Give the distribution of
X.
(Enter an exact number as an integer, fraction, or decimal.)
C)Sketch the graph, shade the region, label and scale the
horizontal axis for
X,
and find the probability. (Round your answer to four decimal
places.)
P(X < 70) =
D)Find the 20th percentile....

X ~ N(60, 13). Suppose that you form random
samples of 25 from this distribution. Let X
be the random variable of averages. Let ΣX be the
random variable of sums.
Part (f)
Sketch the graph, shade the region, label and scale the horizontal
axis for
X,
and find the probability. (Round your answer to four decimal
places.)
P(19 < X < 57) =
.2032incorrect
Part (g)
Give the distribution of ΣX.
ΣX ~
n(1500, 325) 325 is
incorrect
,...

X ~ N(50, 11). Suppose that you form random
samples of 25 from this distribution. Let X be the random
variable of averages. Let ΣX be the random variable of
sums.
Find the 40th percentile. (Round your answer to two decimal
places.)
Sketch the graph, shade the region, label and scale the
horizontal axis for X, and find the probability. (Round your answer
to four decimal places.)
Sketch the graph, shade the region, label and scale the
horizontal axis for...

X ~ N(70, 14). Suppose that you form random samples of 25 from
this distribution. Let X be the random variable of averages. Let ΣX
be the random variable of sums. Sketch the graph, shade the region,
label and scale the horizontal axis for X, and find the
probability. (Roundyour answer to four decimal places.) P(66 < X
< 72) =

X ~ N(50, 9). Suppose that you form random
samples of 25 from this distribution.
Let X be the random variable of averages.
Part (a)
Sketch the distributions of X and X-bar on the
same graph.
Part (b)
Give the distribution of X-bar.
(Enter an exact number as an integer, fraction, or decimal.)
X ~
,
Part (c)
Sketch the graph, shade the region, label and scale the horizontal
axis for
X-bar, and find the probability. (Round your answer to...

X ~ N(50, 9). Suppose that you form random
samples of 25 from this distribution. Let X be
the random variable of averages. Let ΣX be the random
variable of sums.
A. Find the 30th percentile. (Round your answer to two decimal
places.)
B. find the probability. (Round your answer to four decimal
places.)
P(18 < X < 49) =
C. Give the distribution of ΣX.
D. Find the minimum value for the upper quartile for
ΣX. (Round your answer to...

X ~ N(60, 11). Suppose that you form random samples of 25 from
this distribution. Let X be the random variable of averages. Let ΣX
be the random variable of sums.
Part (b) Give the distribution of X. (Enter an exact number as
an integer, fraction, or decimal.) X ~ ,_____ (______, _____)
Part (c) Find the probability. (Round your answer to four
decimal places.) P(X < 60) =
Part (d) Find the 20th percentile. (Round your answer to two...

X ~ N(60, 12). Suppose that you form random samples of 25 from
this distribution. Let X be the random variable of averages. Let ΣX
be the random variable of sums.
Find the probability. (Round your answer to four decimal
places.)
P(28 < X < 56)
Please if at all possible, list the steps on how to solve this
using a TI84 calculator!

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 27 minutes ago

asked 51 minutes ago

asked 57 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago