Extracted text: c) What value does your test statistic,T, take on with the sample data? d) What type of probability distribution does your test statistic,T, have? O t O normal O Chi-Squared O binomial O Cauchy
Extracted text: The ruby-throated hummingbird beats its wings very quicky. Using a high-speed camera, an ornithologist was able to measure the wing beating speed (in beats per second) of 14 randomly chosen ruby-throated hummingbirds. The following are the measurements: 54.20, 51.99, 46.96, 50.91, 51.05, 45.75, 46.80, 50.57, 52.45, 48.41, 53.39, 51.97, 50.37, 51.41 Research has shown that wing beat speed is normally distributed. So, we assume that our sample comes from a normal population with an unknown mean of µ and an unknown standard deviation of o. . We would like to test whether the average wing beat speed of ruby-throated hummingbirds is greater than 50 beats per second. The null hypothesis is thus Ho:H=50 . We will test this against the alternative Ha . We want to test at the 6% level. Let x the sample mean and s = the sample standard deviation. a) What should the alternative hypothesis, Ha , be? O Hail=6% Ο Ha μ50 О наи+50 Ο H μ=50 O HaiH<50 b)="" what="" is="" the="" formula="" for="" your="" test="" statistic?="" ot="x" -6%="" х-50="" ot="13" х-50="" ot="13" x-50="" ot="14" x-50="" ot="S">