a. Construct an ANOVA table.b. Can you conclude that the mean sugar concentration differs among the three days? Use the α =0.05 level of significance. Problem 2Life-saving drug: Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugarcontent must be carefully controlled. Several samples of broth were taken on three successive days, andthe amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The resultswere as follows.Day 1:4.85.15.14.85.24.95.04.95.04.84.85.15.0Day 2:5.45.05.05.15.25.15.35.25.25.15.45.25.4Day 3:5.75.15.35.55.35.55.15.65.35.25.55.35.4a. Construct an ANOVA table.b. Can you conclude that the mean sugar concentration differs among the three days? Use the a =0.05 level of significance.

Name: a. Construct an ANOVA table.b. Can you conclude that the mean sugar co
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: a. Construct an ANOVA table.b. Can you conclude that the mean sugar concentration differs among the three days? Use the α =0.05 level of significance. Problem 2Life-saving drug: Penicillin is produced by the Penicillium fungus, which is grown in a br

(A) Construct the ANOVA table. Use EXCEL Procedure to obtain the ANOVA table. Follow the instruction to obtain the values for table in ANOVA. Open EXCEL Go to Data>Data Analysis. Choose ANOVA: Single Factor. Enter the input range as $A$1:$C$14. Select Grouped By as Columns. Check the Labels in the first row. Set the alpha as 0.05. Click OK. EXCEL output:(B) State the hypotheses. Obtain the value of the test statistic From EXCEL output, the value of the test statistic is 22.35 The value of test statistic is 22.35 Determine the P-value. From EXCEL output, the P-value is 0.0000 The P-value is 0.0000 Determine the conclusion. Use the level of significance is 0.05. The p-value is less than level of significance. By rejection rule, reject the null hypothesis. That is, there is evidence to conclude that the mean sugar concentration differs among the three days.

Answered: Problem 2 Life-saving drug: Penicillin…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

a. Construct an ANOVA table.
b. Can you conclude that the mean sugar concentration differs among the three days? Use the α =
0.05 level of significance.

Problem 2
Life-saving drug: Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugar
content must be carefully controlled. Several samples of broth were taken on three successive days, and
the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results
were as follows.
Day 1:
4.8
5.1
5.1
4.8
5.2
4.9
5.0
4.9
5.0
4.8
4.8
5.1
5.0
Day 2:
5.4
5.0
5.0
5.1
5.2
5.1
5.3
5.2
5.2
5.1
5.4
5.2
5.4
Day 3:
5.7
5.1
5.3
5.5
5.3
5.5
5.1
5.6
5.3
5.2
5.5
5.3
5.4
a. Construct an ANOVA table.
b. Can you conclude that the mean sugar concentration differs among the three days? Use the a =
0.05 level of significance.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions