Assume all populations are normally distributed, all samples are randomly select

Question

Assume all populations are normally distributed, all samples are randomly selected. find z or t which ever is appropiate. Draw, labal, and shade a curve showing the region of rejection. Identifiy critical values or p-values, whichever one you are using. Tell whther you reject or fail to reject the null hypothesis and why, and interpret your decision.

A fitness instructor claims that a particular weight loss supllement will help users lose weight after two weeks. The table shows the wights, in pounds, of 9 adults before using the supplement and two weeks after using the supplement. At a=0.05, is there enough evidence to support the fitness instructor's claim?

User: 1 2 3 4 5 6 7 8 9

Weight Before: 228 210 245 272 203 198 256 217 240

Weight After: 225 208 242 270 205 196 250 220 240

Explanation / Answer

Hypothesis:

H0: mu = 228.44

Ha: mu not equal to 228.44

Test statistic:

n =9 , x = 229.89, s =25.23

t = ( x - mean) / ( s /sqrt(n))

= ( 229.89 - 228.44) / ( 25.23 / sqrt(9))

= 0.173

Now, we need to find p value using t = 0.17 , df = 8

p value = .869231.

As p value is greater than significance level 0.05

So, we fail to reject the null hypothesis

Tthere is not enough evidence to support the fitness instructor's claim

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