In a study of life expectancy in a certain region, the mean age at death was 70 years, and the standard deviation was 5 years. The life expectancy (years) is assumed to follow a skewed distribution. Suppose that a random sample of 45 people from this region is selected. The mean life expectancy (years) of the sample is considered a random variable. What is the probability that the sample mean life expectancy is between 68 to 72 years? Assume that Z follows a standard normal distribution. O P(-4

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In a study of life expectancy in a certain region, the mean age at death
was 70 years, and the standard deviation was 5 years. The life expectancy
(years) is assumed to follow a skewed distribution. Suppose that a random
sample of 45 people from this region is selected.
The mean life expectancy (years) of the sample is considered a random
variable. What is the probability that the sample mean life expectancy is
between 68 to 72 years? Assume that Z follows a standard normal
distribution.
O P(-4<Z<4)
O P(-1.49<Z<1.49)
O P(-2.68<Z<2.68)
O P(-0.298<Z<0.298)
Transcribed Image Text:In a study of life expectancy in a certain region, the mean age at death was 70 years, and the standard deviation was 5 years. The life expectancy (years) is assumed to follow a skewed distribution. Suppose that a random sample of 45 people from this region is selected. The mean life expectancy (years) of the sample is considered a random variable. What is the probability that the sample mean life expectancy is between 68 to 72 years? Assume that Z follows a standard normal distribution. O P(-4<Z<4) O P(-1.49<Z<1.49) O P(-2.68<Z<2.68) O P(-0.298<Z<0.298)
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