Question

The article "Well-Fed Crickets Bowl Maidens Over"+ reported that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The chirp rates for male field crickets were reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate is related to nutritional status, investigators fed male crickets a high-protein diet for 8 days and then measured chirp rate. The mean chirp rate for the crickets on the high-protein diet was reported to be 103 chirps per second. Is this convincing evidence that the mean chirp rate for crickets on a high-protein diet is greater than 60 (which would then imply an advantage in attracting the ladies)? Suppose that the sample size and sample standard deviation are n = 32 and s = 40. You can test the relevant hypotheses to answer this question. A significance level of a = 0.01 will be used. (a) State the null and alternative hypotheses. Ho: u = 60 H: 4 < 60 Ho: u = 60 H: > 60 Ho: u = 60 H: u = 60 Ho: u < 60 Hau > 60 (b) Calculate the test statistic. (Round your answer to two decimal places.)

Answer 1

solutions Givent -x=103 n232 s=40 2=0.0) The null and alternative hypothesis is the @ Hoil=60 Hel 60 6 Test statistics = 103-60 40/132 It= 6.08