The amount of sugar in a Krispy Kream glazed donut is 10 g. Many people feel that cereal is a healthier alternative for children over glazed donuts. The table below contains the amount of sugar in a sample of cereals that are geared towards children. Is there enough evidence to show that the mean amount of sugar in children's cereal is higher than in a glazed donut? Test at the 2% level.

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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The amount of sugar in a Krispy Kream glazed donut is 10 g. Many people feel that cereal is a healthier alternative for children over glazed donuts. The table below contains the amount of sugar in a sample of cereals that are geared towards children. Is there enough evidence to show that the mean amount of sugar in children's cereal is higher than in a glazed donut? Test at the 2% level.

amount of sugar in g
9
10
11
13
13
12
13
12
14
9
9
13
12
8
15
9
9
14
11
12
11
18
8
12
12
12

P: Parameter

     What is the correct parameter symbol for this problem?

               

     What is the wording of the parameter in the context of this problem?

            

H: Hypotheses

     Fill in the correct null and alternative hypotheses:


H0:H0:                     g 

HA:HA:                     g 


A:  Assumptions

     Since     information was collected from each object, what conditions do we need to check?

     Check all that apply.

    

  • np≥10np≥10
  • outliers in the data
  • n≥30n≥30 or normal population
  • no outliers in the data
  • σσ is known
  • σσ is unknown
  • n(1−p)≥10n(1-p)≥10
  • N≥20nN≥20n



     Check those assumptions:

     1. Is the value of σσ known?    

 

     2. Given the following modified boxplot (If using a screenreader, use technology to generate a boxplot, then asnwer the question below):

       

          Are there any outliers?            

     3. nn =  which is     

          Is it reasonable to assume the population is normally distributed?          

N: Name the test

     The conditions are met to use a     .

T: Test Statistic

     The symbol and value of the random variable on this problem are as follows:

                =  g

     The test statistic formula set up with numbers is as follows:

     Round values to 2 decimal places.

t=¯¯¯X−μs√n=t=X¯-μsn=

(((( −-  )) //  /√/  )))) 

     The final answer for the test statistic from technology is as follows:

     Round to 2 decimal places.

     t = 

O: Obtain the P-value

     Report the final answer to 4 decimal places.

     It is possible when rounded that a p-value is 0.0000

     P-value = 

M: Make a decision

     Since the p-value        , we        .

S: State a conclustion

     There     significant evidence to conclude                g

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