Use the data in picture to test Nabisco's “Chips Ahoy! 1,000 Chips Challenge.”a. Calculate the mean X ¯ and standard deviation (s) of the sample of bags of cookies.b. State the null and alternative hypotheses (H0 and H1 ) (allow for the possibility that the number of chips may either be less or greater than that claimed by Nabisco).c. Make a decision about the null hypothesis.1. Calculate the degrees of freedom (df). 2. Set alpha (α), identify the critical values (draw the distribution), and state 429 a decision rule. 3. Calculate a statistic: t-test for one mean. 4. Make a decision whether to reject the null hypothesis. 5. Determine the level of significance.d. Draw a conclusion from the analysis.e. What are the implications of this analysis for those who disbelieve Nabisco's claim? The American Statistical Association publishes a monthly magazine sent to all of itsmembers. This magazine once included an article that asked, "How many chocolatechips are there in a bag of Chips Ahoy cookies?" (Warner & Rutledge, 1999).Nabisco, the makers of these cookies, claims there are (at least) 1,000 chocolate chipsin cach 18-ounce bag of cookices. The authors tested this claim by obtaining 42 bagsof cookies, dissolving the cookies in water to separate the chocolate chips from thedough, and counting the number of chocolate chips in cach bag. For the sake ofsimplicity, the number of chips in 18 of their bags is listed below (these 18 bags arerepresentative of the larger sample of 42 bags):Bag # Chips11,10321,21931,34541,25851,30761,4191,12181,1859.1,325101,269111,440121,132131,219141,191151,166161,270171,215181,514

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Description: Use the data in picture to test Nabisco's “Chips Ahoy! 1,000 Chips Challenge.”a. Calculate the mean X ¯ and standard deviation (s) of the sample of bags of cookies.b. State the null and alternative hypotheses (H0 and H1 ) (allow for the possibility t

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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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Use the data in picture to test Nabisco's “Chips Ahoy! 1,000 Chips Challenge.”

a. Calculate the mean X ¯ and standard deviation (s) of the sample of bags of cookies.

b. State the null and alternative hypotheses (H0 and H1 ) (allow for the possibility that the number of chips may either be less or greater than that claimed by Nabisco).

c. Make a decision about the null hypothesis.

1. Calculate the degrees of freedom (df). 2. Set alpha (α), identify the critical values (draw the distribution), and state 429 a decision rule. 3. Calculate a statistic: t-test for one mean. 4. Make a decision whether to reject the null hypothesis. 5. Determine the level of significance.

d. Draw a conclusion from the analysis.

e. What are the implications of this analysis for those who disbelieve Nabisco's claim?

The American Statistical Association publishes a monthly magazine sent to all of its
members. This magazine once included an article that asked, "How many chocolate
chips are there in a bag of Chips Ahoy cookies?" (Warner & Rutledge, 1999).
Nabisco, the makers of these cookies, claims there are (at least) 1,000 chocolate chips
in cach 18-ounce bag of cookices. The authors tested this claim by obtaining 42 bags
of cookies, dissolving the cookies in water to separate the chocolate chips from the
dough, and counting the number of chocolate chips in cach bag. For the sake of
simplicity, the number of chips in 18 of their bags is listed below (these 18 bags are
representative of the larger sample of 42 bags):
Bag # Chips
1
1,103
2
1,219
3
1,345
4
1,258
5
1,307
6
1,419
1,121
8
1,185
9.
1,325
10
1,269
11
1,440
12
1,132
13
1,219
14
1,191
15
1,166
16
1,270
17
1,215
18
1,514

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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