A balanced experimental design has a sample size of n=11 observations at each of k=3 factor levels. The sample averages are x¯1⋅=48.05,x¯2⋅=44.74, and

avissidep 2021-07-02 Answered

A balanced experimental design has a sample size of \(n=11\) observations at each of \(k=3\) factor levels. The sample averages are \(\overline{x}_{1⋅}=48.05,\overline{x}_{2⋅}=44.74, and\ \overline{x}_{3⋅}=49.11, and\ MSE=4.96\).
(a) Calculate pairwise confidence intervals for the factor level means with an overall confidence level of 95%.
(b) Make a diagram showing which factor level means are known to be different and which ones are indistinguishable.
(c) What additional sampling would you recommend to reduce the lengths of the pairwise confidence intervals to no more than 2.0 ?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

opsadnojD
Answered 2021-07-03 Author has 19087 answers

a) \(\displaystyle\mu_{{{11}}}-\mu_{{{12}}}\in{\left({0.97},{5.65}\right)}\)
\(\mu_{11}-\mu_{13}\in (-3.40,1.28) \mu_{11}-\mu_{13}\in (-6.67,-2.03)\)
c) 50

Not exactly what you’re looking for?
Ask My Question
5
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-06-21

The analysis of variance table for a \(3 \times 4\) factorial experiment, with factor A at three levels and factor B at four levels, and with two observations per treatment is shown here:
Source, df, SS, MS, F
A, 2, 5.3
B, 3, 9.1
AB, 6,
Error, 12, 24.5
Total, 23, 43.7
a. Fill in the missing items in the table.
b. Do the data provide sufficient evidence to indicate that factors A and B interact? Test using \(\alpha \alpha=.05\). What are the practical implications of your answer?
c. Do the data provide sufficient evidence to indicate that factors A and B affect the response variable x? Explain.

asked 2020-10-26

A population of values has a normal distribution with \(\displaystyle\mu={221.6}\) and \(\displaystyle\sigma={44.1}\). You intend to draw a random sample of size \(\displaystyle{n}={42}\).
Find the probability that a sample of size  \(\displaystyle{n}={42}\) is randomly selected with a mean between 221.6 and 229.1.
\(\displaystyle{P}{\left({221.6}{<}\overline{{{X}}}{<}{229.1}\right)}=\)?
Write your answers as numbers accurate to 4 decimal places.

asked 2021-02-21

A population of values has a normal distribution with \(\displaystyle\mu={221.6}\) and \(\displaystyle\sigma={44.1}\). You intend to draw a random sample of size \({n}={42}\).
Find the probability that a single randomly selected value is between 221.6 and 229.1.
\(\displaystyle{P}{\left({221.6}{<}{X}{<}{229.1}\right)}=\)?
Write your answers as numbers accurate to 4 decimal places.

asked 2020-10-28

A population of values has a normal distribution with \(\displaystyle\mu={200}\) and \(\displaystyle\sigma={31.9}\). You intend to draw a random sample of size \(\displaystyle{n}={11}\).
Find the probability that a single randomly selected value is less than 226.9.
\(\displaystyle{P}{\left({X}{<}{226.9}\right)}=\)?
Write your answers as numbers accurate to 4 decimal places.

asked 2021-01-04

A population of values has a normal distribution with \(\displaystyle\mu={198.8}\) and \(\displaystyle\sigma={69.2}\). You intend to draw a random sample of size \(\displaystyle{n}={147}\).
Find the probability that a sample of size \(\displaystyle{n}={147}\) is randomly selected with a mean between 184 and 205.1.
\(\displaystyle{P}{\left({184}{<}{M}{<}{205.1}\right)}=\)?
Write your answers as numbers accurate to 4 decimal places.

asked 2021-09-04
David drives to school in rush hour traffic and averages 32 mph. He returns home in mid-afternoon when there is less traffic and averages 48 mph. What is the distance between his home and school if the total traveling time is 1 hr 15 min?
asked 2021-08-08
From a simple random sample of 14 shoppers surveyed, the sample mean of money spent for holiday gifts was 145 dollars with a sample standard deviation of 11 dollars. We wish to construct a \(\displaystyle{99}\%\) confidence interval for the population mean of money spent for holiday gifts.
Read carefully the text and provide each of the following:
The sample size \(\displaystyle?=\),
the sample mean \(\displaystyle?\equiv\),
the sample standard deviation \(\displaystyle?=\), NKS the confidence level \(\displaystyle{C}{L}=\%\).

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question
...