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Determine the area under the standard normal curve that lies to the left of \( (\mathrm{a}) \mathrm{Z}=0.73 \), (b) \( \mathrm{Z}=0.28 \), (c) \( \mathrm{Z}=-0.48 \), and (d) \( \mathrm{Z}=-1.65 \). (a) The area to the left of \( \mathrm{Z}=0.73 \) is (Round to four decimal places as needed.)

(b) The figure to the right represents the normal curve with \( \mu=266 \) days and \( \sigma=16 \) days. The area between \( x=280 \) and \( x=305 \) is 0.1834 . Provide twe Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) A. The proportion of human pregnancies that last less than or more than B. The proportion of human pregnancies that last between 280 and 305 days is 0.1834 . Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) A. The probability that a randomly selected human pregnancy lasts between \( \square \) and \( \square \) days is \( \square \). The probability that a randomly selected human pregnancy lasts less than \( \square \) or more than \( \square \) days is \( \square \).

(b) The figure to the right represents the normal curve with \( \mu=266 \) days and \( \sigma=16 \) days. The area between \( x=280 \) and \( x=305 \) is 0.1834 . Provide fwo in Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) A. The proportion of human pregnancies that last less than 280 or more than 305 days is 0.1834 . B. The proportion of human pregnancies that last between \( \square \) and \( \square \) days is

(b) The figure to the right represents the normal curve with \( \mu=266 \) days and \( \sigma=16 \) days. The area between \( x=280 \) and \( x=305 \) is 0.1834 Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your (Type integers or decimals. Use ascending order.) A. The proportion of human pregnancies that last less than 280 or more than 305 days is 0.1834 . The proportion of human pregnancies that last between \( \square \) and \( \square \) days is \( \square \).

(b) The figure to the right represents the normal curve with \( \mu=266 \) days and \( \sigma=16 \) days. The area between \( x=280 \) and \( x=305 \) is 0.1834 . Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your (Type integers or decimals. Use ascending order.) A. The proportion of human pregnancies that last less than \( \square \) or more than \( \square \) days is \( \square \). The proportion of human pregnancies that last between \( \square \) and \( \square \) days is \( \square \). B.

Suppose the lengths of human pregnancies are normally distributed with \( \mu=266 \) days and \( \sigma=16 \) days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with \( \mu=266 \) days and \( \sigma=16 \) days. The area to the left of \( X=250 \) is 0.1587 . Provide Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your (Type integers or decimals.) A. The proportion of human pregnancies that last more than days is B. The proportion of human pregnancies that last less than 250 days is 0.1587 . Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete \( y \) (Type integers or decimals.) A. The probability that a randomly selected human pregnancy lasts more than \( \square \) days is \( \square \). B. The probability that a randomly selected human pregnancy lasts less than \( \square \) days is \( \square \).

Cuts Pizza is a large restaurant chain. After paying for a meal at Cuts Pizza, customers are asked to rate the quality of the food as rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of \( \mu=4.60 \), with a standar Suppose that we will take a random sample of \( n=10 \) customers' ratings. Let \( \bar{x} \) represent the sample mean of the 10 customers' ra distribution of the sample mean \( \bar{x} \). Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if need (a) Find \( \mu_{-} \)(the mean of the sampling distribution of the sample mean). (b) Find \( \sigma_{-} \)(the standard deviation of the sampling distribution of the sample mean). \( \sigma_{-}=\square \)

Suppose the lengths of human pregnancies are normally distributed with \( \mu=266 \) days and \( \sigma=16 \) days. Complete parts (a) and (b) bel (a) The figure to the right represents the normal curve with \( \mu=266 \) days and \( \sigma=16 \) days. The area to the left of \( X=250 \) is 0.1587 . Pro Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete) (Type integers or decimals.) A. The proportion of human pregnancies that last more than \( \square \) days is \( \square \). B. The proportion of human pregnancies that last less than \( \square \) days is \( \square \).

(c) Suppose the area under the normal ourve to the right of \( X=4450 \) is 0.0228 . Provide an interpretation of this result. Select the correct choice below and fil (Type a whole number.) A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than grams. B. The probability is 0.0228 that the birth weight of a randomly chosen fulliterm baby in this population is less than grams.

The graph of a normal curve is given on the right. Use the graph to identify the values of \( \mu \) and \( \sigma \), \( \mu=\square \)