Exercise 5 Write the null and alternative hypotheses in words and using mathemat
ID: 3340611 • Letter: E
Question
Exercise 5 Write the null and alternative hypotheses in words and using mathematical symbols for each of the following situations. 1. Minnesota residents are known to be taller than average US residents. In a local sur- vey, a random sample of 33 Minnesota residents were measured. Do these data provide convincing 169.6cm average height evidence that the Minnesota resident average height is larger than the national 2. In 2005 on an island (New Caledonian archipelago), all the rats of the were eradicated To study rat's influence on the biodiversity of birds, two surveys were led: one in 2004 and one in 2009. Each study consists of the observation of biodiversity indicators (mea sured between 0 and1) in 47 parcels, leading to T2004 0.21 and 2009 0.20. Do these data provide convincing evidence that rat has an influence on biodiversity of birds? 3. The so-called Mediterranean diet is pretty popular as a way to prevent heart diseases since it supposedly reduces the cholesterol level. The cholesterol level of 74 randomly picked persons having Mediterranean diet is measured and compared to the average US level. Do these data provide convincing evidence that Mediterranean diet reduces cholesterol level?Explanation / Answer
Exercise 5
Question 1
Null Hypothesis : H0: Average Height of Minnesota resident is same as average height of any US citizen. = 169.6 cm
Alternative Hypothesis : Ha : Average Height of Minnesota resident is higher than the average height of any US citizen. > 169.6 cm
Question 2
Null Hypothesis : H0: The eradication of rats from island in 2004 hasn't put any effect on biodiversity of island in later years(2009). 2004 = 2009
Alternative Hypothesis : H0: The eradication of rats from island in 2004 has made significantly negative effect on biodiversity of island in later years(2009). 2004 2009
Question 3
Null Hypothesis : H0: The Mediterranean diet doesn't put any significant affect heart disease as compared to average US level. mediterranean = US
Alternative l Hypothesis : Ha: The Mediterranean diet put significant positive affect heart disease as compared to average US level. mediterranean < US
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