Heights were measured for a random sample of 13 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation. of those height measurements were 25 centimeters and 8 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that is different from 30 centimeters? Use the 0.10 level 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 a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H 1:0 1₁:0 (b) Determine the type of test statistic to use. (Choose one) Y (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) At the 0.10 level of significance, can it be concluded that the population mean height of treated plants is different from 30 centimeters? OYes No H bx a 5 Р 0-0 050 020 00 00 00

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