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In: Statistics and Probability

A food magazine called Consumer Reports, carried out a survey of the calorie and sodium content...

A food magazine called Consumer Reports, carried out a survey of the calorie and sodium content of a number of different brands of hotdog. Two types of hotdog were considered; beef and poultry. The results below show the calorie content of the different brands of beef and poultry hotdogs.

Beef (A): 186, 181, 176, 149, 184, 190, 158, 139, 175, 148, 152, 111, 141, 153, 190, 157, 131, 149,135, 132

Poultry (B): 129, 132, 102, 106, 94, 102, 87, 99, 170, 113, 135, 142, 86, 143, 152, 146, 144

A previous F-test made on this data gave an insignificant result and histograms of the two samples showed that they both looked reasonably normally distributed. test at the 5% significance if there is a difference in calorific content between the two types of hotdogs.

1- Calculate the test statistic, taking note of the order of calculation as indicated in the question (state accurate to 2dp)

2- State the Degrees of Freedom,  df =

3- Look up the upper tail critical value from tables (state to 3dp as given in tables)
tc =

4- What is your decision regarding H0 ?

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