In: Math

Consider a normal population distribution with the value of σ known.

(a) What is the confidence level for the interval \(\bar{x} \pm 2.81 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.) \(\%\)

(b) What is the confidence level for the interval \(\bar{x} \pm 1.43 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.) \(\%\)

(c) What value of \(z_{\alpha / 2}\) in the CI formula below results in a confidence level of \(99.7 \% ?\) (Round your answer to two decimal places.)

\(\left(\bar{x}-z_{u / 2} \cdot \frac{\sigma}{\sqrt{n}}, \bar{x}+z_{u / 2} \cdot \frac{\sigma}{\sqrt{n}}\right)\)

\(z_{a / 2}=\)

(d) Answer the question posed in part (c) for a confidence level of \(75 \%\). (Round your answer to two decimal places.) \(z_{u / 2}=\)

a)z(two tailed)=+/-2.81

P(z<2.81)-P(z<-2.81)=0.995 or 99.5%

So,confidence level,c=**99.5%**

b)z(two tailed)=+/-1.43

P(z<1.43)-P(z<-1.43)=0.847 or **84.7%**

So,confidence level,c=**84.7%**

c)c=0.997

alpha=1-0.997=0.003

alpha/2=0.0015

z=normsinv(0.0015) or
normsinv(1-0.0015)=**+/-2.97**

**2.97**

d)c=0.75

alpha=1-0.75=0.25

alpha/2=0.125

z=normsinv(0.125) or
normsinv(1-0.125)=**+/-1.15**

**1.15**

Consider a normal population distribution with the value of \(\sigma\) known.(a) What is the confidence level for the interval \(\bar{x} \pm 2.88 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.)\(\%\)(b) What is the confidence level for the interval \(\bar{x} \pm 1.47 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.) \(\%\)(c) What value of \(z_{\alpha / 2}\) in the CI formula below results in a confidence level of \(99.7 \% ?\) (Round your answer to...

1.Consider a population of values has a normal distribution with
μ=193.1 and σ=89.5. You intend to draw a random sample of size n.
The boxes are labeled #1-12. Complete the table by writing the
number that goes in the box with the corresponding number. Round to
four decimal places.
n
Sample means
Sample Standard Deviations
2
1.
2.
5
3.
4.
10
5.
6.
20
7.
8.
50
9.
10.
100
11.
12.
2. Describe what happens to the sample...

Q1: A population distribution is approximated by normal with
known standard deviation 20. Determine the p-value of a test of the
hypothesis that the population mean is equal to 50, if the average
of a sample of 64 observations is 55.

A population of values has a normal distribution with μ = 141.1
and σ = 21.9 . You intend to draw a random sample of size n = 144 .
Find P35, which is the score separating the bottom 35% scores from
the top 65% scores. P35 (for single values) = Find P35, which is
the mean separating the bottom 35% means from the top 65% means.
P35 (for sample means) = Enter your answers as numbers accurate to
1...

A population of values has a normal distribution with μ = 231.5
and σ = 53.2 . If a random sample of size n = 19 is selected
, Find the probability that a single randomly selected value is
greater than 241.3. Round your answer to four decimals. P(X >
241.3) =
Find the probability that a sample of size n=19n=19 is randomly
selected with a mean greater than 241.3. Round your answer to
four decimals.
P(M > 241.3) =

A population of values has a normal distribution with μ = 247.3
and σ = 5.7. You intend to draw a random sample of size n = 12.
Find P72, which is the mean separating the bottom 72% means from
the top 28% means. P72 (for sample means) =
Enter your answers as numbers accurate to 1 decimal place.
Answers obtained using exact z-scores or z-scores rounded to 3
decimal places are accepted.

A population of values has a normal distribution with μ = 49.1
and σ = 29.4 . You intend to draw a random sample of size n = 35 .
Find P4, which is the mean separating the bottom 4% means from the
top 96% means. P4 (for sample means) =

A population of values has a normal distribution with μ = 240.5
and σ = 70.2 . You intend to draw a random sample of size n = 131
.
Find the probability that a single randomly selected value is
between 246 and 249.7. P(246 < X < 249.7)
Find the probability that a sample of size n = 131 is randomly
selected with a mean between 246 and 249.7. P(246 < M <
249.7)

A population of values has a normal distribution with μ = 107.5
and σ = 9.7 . A random sample of size n = 133 is drawn.
a.) Find the probability that a single randomly selected value
is between 106.4 and 110. Round your answer to four decimal
places.
P ( 106.4 < X < 110 ) =
b.) Find the probability that a sample of size n = 133 is
randomly selected with a mean between 106.4 and 110....

A population of values has a normal distribution with μ = 180.2
and σ = 17.4 . You intend to draw a random sample of size n = 235 .
Find the probability that a single randomly selected value is
between 177.2 and 177.7. P(177.2 < X < 177.7) = Find the
probability that a sample of size n = 235 is randomly selected with
a mean between 177.2 and 177.7. P(177.2 < M < 177.7) =

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- 1. Create a NodeJS application having name student (1 Point) 2. Use expressJS framework to create...
- What drugs are used to treat psychological disorders? What are some of their negative side effects?...
- For the following causal difference equation, given that y[-1] = 2, y[-2] = 3, and x[n]...
- Please prepare the following A. An entry for the following transactions of Elirene Mosquera Automobile Shop...
- What is a "motion" made in a court room? 2-What is the bail system and the...
- A curtain manufacturer receives three orders for curtain material with widths and lengths as follows: Order...
- Project L costs $35,000, its expected cash inflows are $13,000 per year for 11 years, and...

ADVERTISEMENT