Week 5 Homework : Question 13 of 20 (1 point) l Question Attempt: 1 of Unlimited The Journal de Botanique reported that the mean height of Begonias grown while being treated with a particular nutrient is 40 centimeters. To check whether E'Espanor) this is still accurate, heights are measured for a random sample of 13 Begonias grown while being treated with the nutrient. The sample mean and sample standard deviation of those height measurements are 45 centimeters and 8 centimeters, respectively. Assume that the heighB of treated Begonias are approximately normally distributed. Based on the sample, can it be concluded that the population mean height of treated begoniasr p, is different from that reported in the journal? Use the 0.10 level of signicance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) 0 (a) State the null hypothesis H0 and the alternative hypothesis H1. l1 C F E H : I] El 0 Y S 3 H1 I] El:I Elm % (b) Determine the type of test statistic to use. E (Choose one) V E|=D EISEI EIBEI (c) Find the value of the test statistic. (Round to three or more decimal places.) I] (d) Find the p-value. (Round to three or more decimal places.) I] (e) Can it be concluded that the mean height of treated Begonias is different from that reported in the journal