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Mathematics, 19.02.2021 06:40 michaelswagout
Calculate the mean and standard deviation for the sample. Give your answers to 2 decimal places.
sample mean =
sample standard deviation =
b)Find the proportion of heights that are within 1 standard deviation of the sample mean and also the proportion that are within 2 standard deviations of the sample mean. Use the unrounded values for the mean and standard deviation when doing this calculation. Give your answers as decimals to 2 decimal places.
Proportion of heights within 1 standard deviation of the mean =
Proportion of heights within 2 standard deviations of the mean =
c)Select the appropriate description for the data:
the data are APPROXIMATELY normal
the data are CLEARLY not normal
d)Calculate the standardized value for the value 67. Note that, for a value x within a sample that is approximately distributed as N(x, s), a standardized value can be calculated as z = (x - x) / s
standardized value (to 2 decimal places) for the value 67 =
e)Calculate the probability that a standard normal random variable Z takes a values less than the standardized value calculated in part d). Give your answer as a decimal to 4 decimal places.
Probability Z less than standardized value =
f)Find the proportion of values in the sample that are less than or equal to 67. Give you answer as a decimal to 2 decimal places.
Proportion of values less than or equal to 67 =
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Calculate the mean and standard deviation for the sample. Give your answers to 2 decimal places.
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