Question
1)Assume that readings on thermometers are normally distributed with a mean of 0 o C and a standard deviation of 1.00 o C. Find the
1)Assume that readings on thermometers are normally distributed with a mean of 0oC and a standard deviation of 1.00oC. Find the probability that a randomly selected thermometer reads between -2.29 and -1.21.
2)Assume that readings on thermometers are normally distributed with a mean of 0oC and a standard deviation of 1.00oC. Find P(z 2.15), where z is the reading in degrees.
3)Assume that readings on thermometers are normally distributed with a mean of 0oC and a standard deviation of 1.00oC. Find the probability that a randomly selected thermometer reads between -0.12 and 1.21.
4)The capacity of an elevator is 12 people or 2064 pounds. The capacity will be exceeded if 12 people have weights with a mean greater than 2064 / 12 = 172 pounds. Suppose the people have weights that are normally distributed with a mean of 176 pounds and a standard deviation of 29 pounds. Find the probability that 12 randomly selected people will have a mean that is greater than 172 pounds.
5)Assume that women's weights are normally distributed with a mean of 143 pounds and standard deviation of 29 pounds (based on data from the National Health Survey). Find the weight separating the bottom 10% from the top 90%.
6)Assume that women's weights are normally distributed with a mean of 143 pounds and standard deviation of 29 pounds (based on data from the National Health Survey). If 75 women are randomly selected, find the probability that they have a mean weight between 140 pounds and 157 pounds.
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