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Posted: July 26th, 2020
Question description
1) For normally distributed data, what proportion of observations have z-scores satisfying the following conditions:
-1.75 < z < 2.22 Round to 4 decimal points.2) What proportion of Z-scores are outside the interval Z = −1.71 and Z = 1.71? Round to 4 decimal points3) Assume that the readings at freezing on a batch of thermometers are
approximately Normally distributed with a mean of 0°C and a standard
deviation of 1.00°C.
Find the proportion of thermometers with a reading greater than
-3.205°C. Round to 4 decimal points4) Assume that the readings at freezing on a batch of thermometers are
approximately Normally distributed with a mean of 0°C and a standard
deviation of 1.00°C.
Find the proportion of thermometers with a reading greater than 1.674°C. Round to 4 decimal points5) Assume that the readings at freezing on a batch of thermometers are
approximately Normally distributed with a mean of 0°C and a standard
deviation of 1.00°C. Find the proportion of thermometers with a reading
between -1.864°C and -1.544°C. Round to 4 decimal points6) Assume that the readings at freezing on a batch of thermometers are
approximately Normally distributed with a mean of 0°C and a standard
deviation of 1.00°C. Find the proportion of thermometers with a reading
outside of the interval -1.228°C and 1.995°C. Round to 4 decimal points7) Assume that the readings at freezing on a batch of thermometers are
approximately Normally distributed with a mean of 0°C and a standard
deviation of 1.00°C. Find the proportion of thermometers with a reading
between -0.677°C and 0.955°C. Round to 4 decimal points.8) For a Normal distribution with μ=9.2μ=9.2 and σ=0.8σ=0.8.
9) What proportion of observations have values less than. Round to 4 decimal points10) For a Normal distribution with μ=3.8μ=3.8 and σ=0.8σ=0.8, what proportion of observations have values greater than 4? Round to 4 decimal points
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