Weight loss programs are abundant in the U.S.A. Some cost a membership fee, some

Question

Weight loss programs are abundant in the U.S.A. Some cost a membership fee, some do not. But all seem to work (at least temporarily) if the individual “complies” with the program for at least 60 days. Presume that the mean weight loss after 60 days for the population of adults complying to a program, any program, is µ = 15 pounds, with a standard deviation of = 4.0. You have developed a novel program combining “clean-eating” plus daily aerobic exercise and predict that persons in your program will lose more weight than the national average of 15 pounds in 60 days. Eighteen adults participate in your program and at the end of 60 days have a mean weight loss of M = 15.83 pounds. Set your alpha level at = .05.

Complete step 3 of the hypothesis testing procedure and calculate z or t, whichever is appropriate for these data. Round to the nearest hundredths place. If your calculated z or t is not identical to one of the values below, but within plus or minus 0.2 of an answer below, assume it’s a rounding error and select the answer that is closest to your calculated value. Ignore the minus sign if your calculated z or t is negative.

4.05

Not listed

Explanation / Answer

here std errror of mean =std deviation/(n)1/2 =4/(18)1/2 =0.9428

therefore test statistic z=(X-mean)/std error =(15.83-15)/0.9428=0.88

hence option 0.88 is correct

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