Table 1: Summary statistics of the extra sodium content (%) in the thirty samples  Min.   : 0.14 1st Qu.: 1.17 Median : 2.13 Mean   : 2.4813 3rd Qu.: 3.86 Max.   : 5.22  SD = 1.6156 Researchers believe that the average percentage of sodium content is 3%. Test the appropriate hypotheses using a 5% level of significance. Specify the following: random variable of interest parameter of interest (Symbol for the parameter) statistic you would use to estimate parameter

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Table 1: Summary statistics of the extra sodium content (%) in the thirty samples

 Min.   : 0.14
 1st Qu.: 1.17
 Median : 2.13
 Mean   : 2.4813
 3rd Qu.: 3.86
 Max.   : 5.22
 
 SD = 1.6156

Researchers believe that the average percentage of sodium content is 3%. Test the appropriate hypotheses using a 5% level of significance.

  1. Specify the following:
  • random variable of interest
  • parameter of interest (Symbol for the parameter)
  • statistic you would use to estimate parameter
Expert Solution
Step 1

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We need to conduct a 5%  hypothesis test to know whether the Researchers believe that the average percentage of sodium content is 3% is correct or not.

Statistics homework question answer, Step 1, Image 1
Step 2
  • the random variable of interest is “percentage of sodium content “
  • Statistics of interest :

Sample mean percentage of sodium = 2.4813

Standard deviation = 1.6156

n = 30

Hypothesis Testing:

Calculations shown on whiteboard below:

Statistics homework question answer, Step 2, Image 1
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