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Test: Final Exam Time Remaining: 04 18.08 Submit Test This Question: 1 pt 4 39 o

ID: 3262327 • Letter: T

Question

Test: Final Exam Time Remaining: 04 18.08 Submit Test This Question: 1 pt 4 39 of 40 (4 complere) This Test: 40 pts possible to When 40 people used the Alkins diet for one year, ther mean Heart Disease Reducton,"by Dansinger, et al oumal of the Amencan Medical Assooiation, vol 293, No 1) Assume that the standard deviation of all such weight weight change is kss tranO Based on these resuts, doos the det one year, t er mean weght change was 2 1 b (based on data from Comparison of the Airw Or ish, weight watchers and Zoe D ets tor weighto s and appea to be effective? Does the mean weight change appear to be substantial enough to pussity the special diet? s changes is o 48 b and use a 0 05 signficance level to test the claim that the mean Insert Formula Enter your answer in the form of an essay

Explanation / Answer

we have mean =-2.1

standard deviation =4.8

n =40

hypothsed mean =0

we use t stastic

t= -2.1 -0 /(48/sqrt40) = -2.7669

given 0.05 significance level so 95% confidence interval

df =n-1 = 39

we have p(*2.7669) = 0.0029 nearly equal to 0.003

The p-value = .003, it is small

by this we can say that the mean weight loss was significantly different from zero.

does the mean weight change appear substantial enough to justify the special diet?

2.1 lbs in a year isinadequate for people trying to lose weight and it wouldn't be worth of special diet unless you got better results. So though the results are STATISTICALLY significant,they are not practically significant

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