I need:The test statistic for the full data is t=The P-value isThe test statistic without the outliner is t=The p-value is:Thanks

Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the times in seconds shown. a) Plot the data. Do you think the conditions are satisfied? Explain. b) Do you think this maze meets the requirement that the maze takes at most a minute to complete, on average? Perform the test with and without the outlier and write a couple of sentences to the experimenter about whether the maze meets the requirement. 38.5 46.1 62.4 37.9 62.6 34 50.5 35.1 52.7 60.2 55.2 57.5 55.6 49.4 40.8 44.4 94 47.8 69.3 46.1 56.4 . . . . . a) Choose the correct histogram of the data below. O A. B. O c O D. 87 87 30 100 30 100 30 100 30 100 Time (seconds) Time (seconds) Time (seconds) Time (seconds) The independence assumption is plausibly justified and the Nearly Normal Condition is plausibly satisfied. Therefore, using the Student-t model for inference should be reliable. b) Write appropriate hypotheses for the test. Ho: H = 60 HA: H