In: Math

what are the conditions and assumptions necessary to construct confidence interval on the mean and the variance separately?

(a) Conditions and assumptions necessary to construct confidence interval on the mean:

(i) The sample is a Simple Random Sample

(ii) The population is large relative to the sample

10n < N,

where N = Population size. n = Sample size

(iii) The sampling distribution of the sample proportion is approximately normal.

np 10

n (1 - p) 10

(b) Conditions and assumptions necessary to construct confidence interval on variance:

(i) The population should be Normal Distribution. Confidence interval of is basd on the sampling distribution of

If the samples of size n are drawn from a normally distributed population, this quantity has a distribution with n - 1 degrees of freedom. So, the assumption that the sample is drawn from a normally distributed parameter is a must.

(ii) When n = Sample Size is large (n
> 30), s^{2} = Sample Variance can be used to compute
the Sample variance.

Construct a 95?% confidence interval to estimate the population
mean using the following data. What assumptions need to be made to
construct this? interval?
x?=93
?=15
n=17
With 95?% ?confidence, when n=17 the population mean is between
the lower limit of __ and the upper limit of __

Construct a 90% confidence interval to estimate the population
mean using the accompanying data. What assumptions need to be made
to construct this interval?
x=59 σ=15 n=17
What assumptions need to be made to construct this
interval?
A. The population is skewed to one side.
B. The sample size is less than 30.
C. The population must be normally distributed.
D. The population mean will be in the confidence interval.
With 90% confidence, when n=17, the population mean is
between...

Construct a 99% confidence interval to estimate the population
mean using the data below. What assumptions need to be made about
this population?
x overbar =32
s=9.1
n=28

Construct a 95% confidence interval to estimate the population
mean using the following data. What assumptions need to be made to
construct this interval?
x(over bar x)= 83 s=19 n=16
What assumptions need to be made to construct this
interval?
A. The population is skewed to one side.
B. The sample size is less than 30.
C. The population mean will be in the confidence interval.
D. The population must be normally distributed.
With 95% confidence, when n=16 the population...

Construct a 95% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population? x̄ = 33 s= 9.9 n=27 The 95% confidence interval for the population mean is from a lower limit of _______ to an upper limit of _______ .

Construct a confidence interval for ?? the mean of the
differences d for the population of paired data. Assume that the
population of paired differences is normally distributed. The table
shows the weights of 9 subjects before and after following a
particular diet for two months. Construct a 99% confidence interval
for the mean difference of the “before” minus “after” weights.
Round to one decimal place.
Subject
A
B
C
D
E
F
G
H
I
Before
168
180
157...

What is an 80% confidence interval?
What does it mean for a confidence interval to be ‘equal
tailed?’
What are the steps for obtaining a confidence interval?

In order to construct a confidence interval for a population
mean, it must be the case that the data comes from a population
that is normally distributed, or the sample size is large.
Group of answer choices
True
False

Construct a 95% confidence interval for an experiment
that found the sample mean temperature for a certain city in August
was 101.82, with a population standard deviation of 1.2. There were
6 samples in this experiment.
A group of 10, foot - surgery patients had a mean
weight of 240 pounds. The sample standard deviation was 25 pounds.
Find a confidence interval for a sample for the true mean weight of
all foot – surgery patients. Find a 95% Confidence...

Calculate the margin of error and construct the confidence
interval for the population mean using the Student's t-distribution
(you may assume the population data is normally distributed).
T-Distribution Table
a. x̄ =87.3, n=64, s=19.6, x̄ =87.3,
n=64, s=19.6, 98% confidence
E=E=
Round to two decimal places
< μ < < μ <
Round to two decimal places
b. x̄ =31.6, n=44, s=14.6, x̄ =31.6,
n=44, s=14.6, 90% confidence
E=E=
Round to two decimal places
< μ < < μ <
Round to two decimal places
Please provide correct answers. thanks

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