Using the information below, please indicate the research hypotheses (null and a

Question

Using the information below, please indicate the research hypotheses (null and alternative), incorporating the appropriate symbols and then state what the hypotheses mean.

**For your alternative hypothesis, be specific as to which direction is most appropriate for your scenario < or >.  

The question was investigated of whether (a) age at which infants start to crawl is related to (b) seasonal temperature six months after birth. "Six months after birth" was targeted as the period in which babies typically first try crawling. For a large sample of babies, (a) time at which crawling actually began and (b) average monthly temperature six months after the birth month were collected. The data are shown below (also found in the Month Average Age Starting to Craw Average Temperature 6 Months After Birth Month (in units Fahrenheit) (weeks) Januar Februa March April Ma June Jul August September October November December 29.84 30.52 29.70 31.84 28.58 31.44 33.64 32.82 33.83 33.35 33.38 32.32 73 72 63 52 39 30 37 48 57

Explanation / Answer

We need to check if the age at which infants start to crawl is related to the seasonal temperature 6 months after birth. Hence we fit a regression:

Age starting to crawl= a0 + a1.Temperature 6 months after birth

H0 : a1=0

Ha : a1 not equal to 0

Here if statistically we find a1=0, then we can say that Seasonal temperature does not influence age of starting to crawl and hence that is the null hypothesis. If we find a1 to be statistically different from 0 then we say temperature influences age.

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