The CDC publishes charts on Body Mass Index (BMI) for boys andgirls of different ages. Based on the chart for girls, the mean BMIfor 6-year-old girls is listed as 15.8 kg/m2. The data from whichthe CDC charts were developed is old and there is concern that themean BMI for 6 year olds girls has increased.

The BMI’s from a current random sample of 50 6-year-old girls isattached in a list on the next page. Use this data of currentsix-year girls to test the claim that the mean BMI for currentgirls is greater than 15.8 (thus, testing that the mean BMI forsix-year-old girls has increased since the chart was made).

1. State the claim, null hypothesis, and alternate hypothesis insymbols.

Claim:

H0 : ?

H1: ?

2. Copy and paste the sample of 50 BMI’s into stat crunch.Calculate the mean and standard deviation for the sample.

Mean = ?

Standard deviation = ?

3. Use stat crunch to run a hypothesis test for mean. Go to stat> t-stats > one-sample > with data. (you can alsochoose “with summary” and enter your sample mean and samplestandard deviation from part 2)

**Enter your information for your null hypothesis andalternative hypothesis (make sure to select the appropriateinequality sign for your alternate hypothesis).

Record your p-value: ____________

4. Based on your p-value, do you reject your null hypothesis orfail to reject your null hypothesis? Use a 0.05 significancelevel.

5. Based on your answer #3 and #4, does the sample data providesufficient evidence that the mean BMI for 6-year-old girls hasincreased? Explain.

Math 1740 92 Week 7 – Hypothesis Testing Assignment

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