A scientist counts the number of inclusions in a sample of 30 tourmaline rocks, each of weight 50g. If the sample mean number of inclusions per gem is 28.5278 and the sample standard deviation of the number of inclusions is 1.9898, calculate the standard error of the mean number of inclusions. (Please provide answers rounded to four decimal places) 0. 3633 0.3633 V Submit part Your answer is numerically correct. You were awarded 1 mark. You scored 1 mark for this part. Score: 1/1 V Answered Use you answer from the previous question to estimate a 95% confidence interval for the mean number of inclusions per tourmaline gem (Please provide your answer to four decimal places). X) Submit partAn adult female of speciesfelis catus has given birth to five individuals. The birth weight of the first four young, in grams, are [ 93, 80, 83, 84 ]. a) What is the mean weight of the first four young? (Please provide answers rounded to 2 decimal places) 85. 00 85 Submit part Your answer is numerically correct. You were awarded 1 mark. You scored 1 mark for this part. Score: 1/1 V Answered b) What is the standard deviation of the weight of the first four young? (Please provide answers rounded to 2 decimal places) 5.60 5.6 Submit part Your answer is numerically correct. You were awarded 1 mark. You scored 1 mark for this part. Score: 1/1 V Answered c) Assuming the birth weights of felis catus are normally distributed, what is the probability that the fifth young has a birth weight of 90g or less? (Use your answers from the previous two questions to estimate and provide your answer to 2 decimal places) Submit part