The following test has been resulted before and after using a Less Fat Diet (LFD) in order to improve the health of people. The weight of five individuals are recorded as shown below: Let μ1 be the initial weight of the individuals without LFD and μ2 be the weight a with LFD:
users Weight without LFD Weight without LFD
1 149 142
2 194 189
3 187 184
4 196 190
5 203 199
Given the situation above, estimate/find a statistical test to determine if the LFD diet is effective at reducing weight. Use a significance level of 1%. Please show all steps (null hypotehsis, accept/reject) and why you concluded the LFD is better given the numbers.
For this problem paired together test is appropriate.
Therefore, We conclued that the LFD diet is not effective at reducing weight.
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