Question 1
Express the confidence interval 674.1±156.1 in the form of a
trilinear inequality.
_____ < μ < ______
Question 2
Express the confidence interval (440.7,504.5) in the form of
¯x±ME
x±ME = _____ ± _____
Question 3
For a confidence level of 85%, find the critical z value.
Critical z =_____
Question 4
For a confidence level of 90%, find the critical z value. Round
to at least 2 decimal places.
Critical z = _____
Question 5
You measure...
1. Express the
confidence interval (35%,42%) in the form of p±ME.
% ± %
2.
You are a researcher
studying the lifespan of a certain species of bacteria. A
preliminary sample of 35 bacteria reveals a sample mean of x=70
hours with a standard deviation of s=4.2 hours. You would like to
estimate the mean lifespan for this species of bacteria to within a
margin of error of 0.45 hours at a 98% level of confidence.
What sample size
should...
1.Express the confidence interval (45.3%,61.9%) in the form of
ˆp ± E
2.Assume that a sample is used to estimate a population
proportion p. Find the 80% confidence interval for a
sample of size 260 with 24% successes. Enter your answer as a
tri-linear inequality using decimals (not percents) accurate to
three decimal places.
3.Out of 400 people sampled, 240 preferred Candidate A. Based on
this, estimate what proportion of the entire voting population (p)
prefers Candidate A.
Use a...
Express the confidence interval left parenthesis 0.066 comma
0.140 right parenthesis(0.066,0.140) in the form of ModifyingAbove
p with caret minus Upper E less than p less than ModifyingAbove p
with caret plus Upper Ep−E
A confidence interval, at the 95% confidence level, will be used
to answer the question, "What is the mean annual salary (in US
dollars) of a Tesla car owner?" Data was collected from
36 Tesla owners across the US. The mean annual salary of those 36
Tesla owners was $254000. The standard deviation of ALL
Tesla owners is known to be $1057.
a) The value at the center of the confidence interval
represents what quantity? Choose an option from the list
and type its...
Please answer all parts
1. Confidence Interval Given. Assume I created a 95% confidence
interval for the mean hours studied for a test based on a random
sample of 64 students. The lower bound of this interval was 3.1416
and the upper bound was 18.6282. Assume that when I created this
interval I knew the population standard deviation. Keep all
decimals in your calculations.
a) Calculate the width of the interval.
(b) Calculate the margin of error for the interval....
What is the form of a confidence interval? That is, what goes
where?
34 If we calculate a 95% confidence interval, what is the risk
that we have made a mistake?
35 Say we have a 95% confidence interval that goes from 4.0 to
6.0. Describe the mistake from question 34, fully.