Heights were measured for a random sample of 13 plants grown while being treated with a...
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 31
centimeters and 7 centimeters, respectively.
Assume that the population of heights of treated plants is normally
distributed with mean u. Based on the sample, can it be concluded
that u is different from 30 centimeters? Use the 0.1 level 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.
a) The null hypothesis:
b) The alternative hypothesis:
c) The type of test statistic:
d) The value of the test statistic:
(Round to at least three decimal
places.)
e) The two critical values at the 0.1 level of significance:
(Round to at least three decimal
places.)
f) At the 0.1 level of significance, can it be concluded that the
population mean height of treated plants is different from 30
centimeters?
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Heights were measured for a random sample of 13 plants grown
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