A cognitive scientist wants to test whether there is any difference in puzzle solving abilities between crows and sparrows Independent samples of ten crows and seven sparrows were chosen at random The crows took a mean of 35 minutes to solve a certain puzzle with a standard deviation of 4 1 minutes The sparrows took a mean of 36 minutes to solve the same puzzle with a standard deviation of 4 3 minutes Assume that the two populations of completion times are normally distributed and that the population variances ar equal Can we conclude at the 0 01 level of significance that u the mean puzzle solving times for crows is less than the mean puzzle solving times for sparrows Perform a one tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places and round your answers as specified in the table If necessary consult a list of formulas a State the null hypothesis Ho and the alternative hypothesis H Ho O H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places 0 d Find the critical value at the 0 01 level of significance Round to three or more decimal places e Can we conclude that the mean puzzle solving times for crows is less than the mean puzzle solving times for sparrows H x X O S X 00 P p 010 0 0 030 020 8 0 0 0 0 0 0