Question

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.

(a) State the null hypothesis and the alternate hypothesis.
  AnswerH0: μA- μB≤ 0 ; H1: μA- μB > 0H0: μA- μB = 0 ; H1: μA- μB ≠ 0H0: μA- μB ≥ 0 ; H1: μA- μB < 0H0: μA- μB ≠ 0 ; H1: μA- μB = 0
(b) Calculate the test statistic, taking note of the order of calculation as indicated in the question
t= Answer  (state accurate to 2dp)
(C)    State the Degrees of Freedom,  df = Answer
(d)    Look up the upper tail critical value from tables (state to 3dp as given in tables)
tc = Answer
(e) What is your decision regarding H0 ?
  Answer Do not reject Ho/Reject Ho

Solutions

Expert Solution

Since F test gave an insignificant result that means the variances of two populations are not significantly different, so we can assume these two population variances to be equal.

Let denote mean caloric content in beef and poultry respectively.

e) Reject H0

orchestra answered 2 years ago
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