(solution) Heights were measured for a random sample of 13 plants grown

Heights were measured for a random sample of 13  plants grown

while being treated with a particular nutrient.

Heights were measured for a random sample of plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were centimeters and centimeters, respectively.

 

Assume that the population of heights of treated plants is normally distributed with mean . Based on the sample, can it be concluded that is different from centimeters? Use the level of significance.

 

Perform a two­tailed 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. (If necessary, consult a list of formulas.)

 

The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one) The value of the test statistic:

 

(Round to at least three decimal places.) The two at the level of significance:

 

(Round to at least three decimal places.) At the 0.1 level of significance, can it be concluded that the population mean height of treated plants is different from centimeters? Yes or No

 

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