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The mean daily caffeine intake of 20-29 year-old females was 142.5 mg in 2014. A nutritionist wants to test that the mean daily caffeine intake of 20-29 year-old females has increased since then. She decided to perform a test of significance using the hypotheses Ho: μs 142.5 vs. HA: μ > 142.5 . A sample of 35 females aged 20-29 were obtained and the sample average of daily caffeine intake is 147.3 mg with a standard deviation of 22.25 mg. What is the value of the z-test statistic for this test?

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Answer #1

z - test statistic

-μ oln

147.3 - 142.5 22.25/ 35

= 1.276

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