The owner of the House of Greens Greenhouse wants to estimate the mean height that her seedlings grow. A sample of 14 plants were chosen and their growth was recorded over a period of a month. It was...

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The owner of the House of Greens Greenhouse wants to estimate the mean height that her seedlings grow. A sample of 14 plants were chosen and their growth was recorded over a period of a month. It was found that the sample mean was 20.00 cm and the sample standard deviation was 4.66 cm. Given this information, develop a 99.0% confidence interval estimate for the population mean (assuming the best point estimate for the population mean is the sample mean). For full marks your answer should be accurate to at least three decimal places.
Confidence interval: ( 0 , 0 )1

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Answered Same DayDec 21, 2021

Answer To: The owner of the House of Greens Greenhouse wants to estimate the mean height that her seedlings...

Robert answered on Dec 21 2021

112 Votes

First of all note that here the sample size is 14 so corresponding degrees of freedom
is 14-1=13. This implies we cannot use the large sample test (i.e. we cannot use CLT
and consequently standard normal distribution). So to test this two tailed test (Since
the alternative is both sided) we...

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The owner of the House of Greens Greenhouse wants to estimate the mean height that her seedlings grow. A sample of 14 plants were chosen and their growth was recorded over a period of a month. It was...

Answer To: The owner of the House of Greens Greenhouse wants to estimate the mean height that her seedlings...

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