Heights were measured for a random sample of13plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were27centimeters and9centimeters, 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 from30centimeters? Use the0.05level of significance.Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis: H₀ : ?

The alternative hypothesis: H₁ : ?

The type of test statistic: (Choose one)

Z

t with degrees of freedom

Chi square

F

The value of the test statistic: ?

(Round to at least three decimal places.)

Thep-value: ?

(Round to at least three decimal places.)

At the 0.05 level of significance, can it be concluded that the population mean height of treated plants is different from30centimeters? Yes or No