A pharmaceutical company manufactures medicine which is dispensed into bottles. The mean fill level for the medicine bottles is supposed to be 199 ml. You take a random sample of 11 bottles and find the following fill levels (in milliliters): 195, 204, 191, 198, 195, 199, 197, 196, 201, 191, 195 Does the sample provide evidence at the 1% level of significance that the mean fill level is different than 199 ml? Test at the 1% level of significance. (a) State the null and alternative hypotheses: Ho : average fill level of medicine bottle is equal to 199 Ha : average fill level of medicine bottle is not equal to... (b) The degrees of freedom for the hypothesis test is df Number (c) Test statistic for the test of hypothesis is given by |Number (Round answer to 3 decimal places) (d) The P-value for the hypothesis test is Number (Round answer to 4 decimal places) (e) Conclude the test in the context of the problem. Type either reject or do not reject in the box below. At the 1% level of significance we the null hypothesis. (f) For this question, type either does or does not in the box below. At the 1% level of significance we conclude that the sample data give enough evidence that the average fill level of medicine botlles is different than 199