A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis of variance used with those three types of cookies. Use a 0.05 significance level to test the claim that the three different types of cookies have the same mean number of chocolate chips. ANOVA table Source DF SS MS F-Stat P-value Columns 2 1166.0000 583.00000 59.1358 <0.0001 Error 77 759.11667 9.8586581 Total 79 1925.1167 Question content area bottom Part 1 Determine the null hypothesis. H0: ▼ mu 1 less than mu 2 less than mu 3μ1<μ2<μ3 At least one of the means is different from the othersAt least one of the means is different from the others All of the means are differentAll of the means are different mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 Part 2 Determine the alternative hypothesis. H1: ▼ At least one of the means is different from the othersAt least one of the means is different from the others mu 1 less than mu 2 less than mu 3μ1<μ2<μ3 All of the means are differentAll of the means are different mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 Part 3 Determine the test statistic. The test statistic is enter your response here. (Round to two decimal places as needed.) Part 4 Determine the P-value. The P-value is enter your response here. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question content area bottom

Part 1

Determine the null hypothesis.

H0:

▼

mu 1 less than mu 2 less than mu 3μ1<μ2<μ3

At least one of the means is different from the othersAt least one of the means is different from the others

All of the means are differentAll of the means are different

mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3

mu 1 equals mu 2 equals mu 3μ1=μ2=μ3

Part 2

Determine the alternative hypothesis.

H1:

▼

At least one of the means is different from the othersAt least one of the means is different from the others

mu 1 less than mu 2 less than mu 3μ1<μ2<μ3

All of the means are differentAll of the means are different

mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3

mu 1 equals mu 2 equals mu 3μ1=μ2=μ3

Part 3

Determine the test statistic.

The test statistic is

enter your response here.

(Round to two decimal places as needed.)

Part 4

Determine the P-value.

The P-value is

enter your response here.

(Round to three decimal places as needed.)

p value, x2, t test, conclusion and confidence Interval

The accompanying data table contains chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars.
Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significance level to test the claim that the
different size categories have the same mean chest deceleration in the standard crash test. Complete parts (a) and (b) below.
E Click the icon to view the table of chest deceleration measurements
E Click the icon to view the table of analysis of variance results.
a. What characteristic of the data specifically indicates that one-way analysis of variance should be used?
O A. There are three samples of measurements.
O B. The measurements are categorized according to the one characteristic of size.
O C. The population means are approximately normal.
O D. Nothing specifically indicates that one-way analysis of variance should be used.

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 + ...

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