Heights were measured for a random sample of11plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were28centimeters and12centimeters, respectively.Assume that the population of heights of treated plants is normally distributed with mean. Based on the sample, can it be concluded thatis different from38centimeters? Use the0.05level of significance.

Perform a two-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 alist of formulas.)

Question 18 of 20 (1 point) | Question Attempt: 1 of 1 Laqueeta formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. O P H : D X S P H : 0 (b) Determine the type of test statistic to use. (Choose one) V 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0*0 00 0 (d) Find the p-value. (Round to three or more decimal places.) X 5 ? (e) At the 0.05 level of significance, can it be concluded that the population mean height of treated plants is different from 38 centimeters? O Yes O No