Question

μ : Mean of variable

sample size 94

**99% confidence interval results:**

Variable | Sample Mean | Std. Err. | DF | L. Limit | U. Limit |
---|---|---|---|---|---|

original | 3.0989362 | 0.017739741 | 93 | 3.0522854 | 3.1455869 |

- From your data, what is the
*point estimate*, p̂ of the population proportion? - Write down the confidence interval that you obtained. Interpret the result.
- What is the
*margin of error*? - Using the same data, construct a 98% confidence interval for the population proportion. Then, answer the following three questions:

(i) What happens to the length of the interval as the confidence level is increased?

(ii) How has the margin of error changed?

(iii) If the sample size is increased, what do you think will happen to the margin of error? Why?

Answer #1

From your data, what is the point estimate, p̂ of the
population proportion?
Write down the confidence interval that you obtained. Interpret
the result.
What is the margin of error?
Using the same data, construct a 98% confidence interval for
the population proportion. Then, answer the following three
questions:
(i) What happens to the length of the
interval as the confidence level is increased?
(ii) How has the margin of error
changed?
(iii) If the sample size is increased,
what...

Paired T confidence interval:
μD = μ1 - μ2 : Mean of the
difference between Male Population and Female Population
90% confidence interval results:
Difference
Mean
Std. Err.
DF
L. Limit
U. Limit
Male Population - Female Population
-4443.9378
721.71083
594
-5632.9008
-3254.9748
Why is the above data paired? Interpret and state your
confidence Interval, and based on your confidence interval is there
a significant difference in male and female populations; if so what
is it and how do you...

1. Develop 90 %, 95 %, and 99% confidence intervals for
population mean (µ) when sample mean is 10 with the sample size of
100. Population standard deviation is known to be 5.
2. Suppose that sample size changes to 144 and 225. Develop
three confidence intervals again. What happens to the margin of
error when sample size increases?
3. A simple random sample of 400 individuals provides 100 yes
responses. Compute the 90%, 95%, and 99% confidence interval for...

(a)
Construct a 95% confidence interval about
Mu μ if the sample size, n, is 34
Lower bound:
___________
; Upper bound:
______________
(Use ascending order. Round to two decimal places as
needed.)
(b) Construct a 95% confidence interval about mu μ if
the sample size, n, is 51.
Lower bound:
____________
; Upper bound:
____________
(Use ascending order. Round to two decimal places as
needed.)
How does increasing the sample size affect the margin
of error, E?
A.
The...

The 99% confidence interval for the mean, calculated from a
sample is 2.05944 ≤ μ ≤ 3.94056 . Determine the sample mean X ¯ = .
Assuming that the data is normally distributed with the population
standard deviation =2, determine the size of the sample n =

The confidence interval lower limit and upper limit for a
population mean are (16.3, 19.5). What is the
sample mean and the margin of error for the sample.A sample of size
73 with ¯xx¯ = 17.9 and ss = 6.7 is used to estimate a population
mean μμ. Find the 95% confidence interval for μμ.
Sample mean =
Margin of error =

Using the 95% CI given
on the prior problem (repeated here);
Variable
n
Sample
Mean
Std.
Err.
L.
Limit
U.
Limit
pH_level
90
4.577889
not given
4.5181427
4.6376348
What are the upper and lower
bounds if we had constructed a 90% confidence interval, using the
same sample data?
a.
(4.518 ; 4.638)
b.
(4.528 ; 4.628)
c.
(4.559 ; 5.717)
d.
(4.507 ; 4.649)
e.
(4.757 ; 4.899)

Given a sample size 18 with a 99% confidence interval for the
mean μ, and a known standard deviation (26.64, 33.25), calculate
the 95% confidence interval for μ.

Finding p̂ and E: A 98% confidence interval for a population
proportion is given as 0.209 < p < 0.419. Round your answers
to 3 decimal places.
(a) Calculate the sample proportion. p̂ =
(b) Calculate the margin of error. E =

Construct a 99% confidence interval to estimate the population
proportion with a sample proportion equal to 0.36 and a sample size
equal to 100. A 99% confidence interval estimates that the
population proportion is between a lower limit of ___ and an upper
limit of ___

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