Exam 5: Normal Probability Distributions

Use the Standard Normal distribution to answer the following questions. -Identify the probability corresponding to z-scores between -1.57 and .33

Use the Normal distribution to approximate the following Binomial distribution. -Paramedics noticed that at a certain intersection 15% of all vehicles run the stop light. On a typical day, 1000 vehicles pass through the intersection. Find the probability that more than 175 cars will run the stop light.

Use the following distribution for the next questions. The mean maximum aerobic pow ) score for men ages 20 to 29 is 43 ml/min/kg with a standard deviation of 7 ml/min/kg. -Determine the minimum VO2MAX score for elite men ages 20 to 29 scoring in the top 10%.

Use the following distribution for the next questions. The management at an environmental consulting firm claims the mean weekly salary is $275 with a standard deviation of $34.10. -If management's claims are true, what is the probability that an individual worker would make an average weekly salary less than $264.50?

Use the following distribution for the next questions. The mean maximum aerobic pow ) score for men ages 20 to 29 is 43 ml/min/kg with a standard deviation of 7 ml/min/kg. -Find the probability of a man ages 20 to 29 having a score of between 38 ml/min/kg and 48 ml/min/kg.

Use the following population data for the next questions. At a bird-watching center, the number of hooded orioles observed over Memorial Day Weekend was: 10 on Saturday, three on Sunday, and eight on Monday. Assume sample sizes of two are randomly selected with replacement from this population. -Identify the probability of each sample of hooded orioles and describe the sampling distribution of sample means.

Use the following distribution for the next questions. The mean maximum aerobic pow ) score for women ages 20 to 29 is 36 ml/min/kg with a standard deviation of 7 ml/min/kg. -Find the probability of a woman between the ages of 20 to 29 having a score of between 30 ml/min/kg and 42 ml/min/kg.

Use the following data for the next questions. The ages of five residents in aretirement community are: -Construct a normal quantile plot.

The mileage of the hybrid, the Toyota Prius, is normally distributed with a mean of 47.7 mpg and a standard deviation of 5 mpg. -If it is possible to use the Central Limit Theorem, find the probability that the mean of six Toyota Prius hybrids exceeds 52 mpg.

Use the following population data for the next questions. At a bird-watching center, the number of yellow-throated warblers observed over Memorial Day Weekend was: three on Saturday, 10 on Sunday, and eight on Monday. Assume sample sizes of two are randomly selected with replacement from this population. -Identify the probability of each sample of yellow-throated warblers and describe the sampling distribution of sample means.

The mileage of the hybrid, the Honda Insight, is normally distributed with a mean of 63.4 mpg and a standard deviation of 12.6 mpg. -If it is possible to use the Central Limit Theorem, find the probability that the mean of six Honda Insights exceeds 70 mpg.

Use the following distribution for the next questions. A dentist claims that the mean number of times a woman smiles per day is 62 with a standard deviation of -If the dentist's claims are true, what is the probability that a randomly selected woman would smile less than 58 times?

Use the following distribution for the next questions. The mean maximum aerobic pow ) score for women ages 20 to 29 is 36 ml/min/kg with a standard deviation of 7 ml/min/kg. -Determine the maximum VO2MAX score for women needing aerobic power intervention ages 20 to 29 scoring in the bottom 20%.

Use the Standard Normal distribution to answer the following questions. -Find the z-score that corresponds to .

Use the following distribution for the next questions. The mean maximum aerobic pow ) score for women ages 20 to 29 is 36 ml/min/kg with a standard deviation of 7 ml/min/kg. -Determine the minimum VO score for elite women ages 20 to 29 scoring in the top 10%.

Choose the choice of statistics that best target population parameters.

Use the following population data for the next questions. At a bird-watching center, the number of hooded orioles observed over Memorial Day Weekend was: 10 on Saturday, three on Sunday, and eight on Monday. Assume sample sizes of two are randomly selected with replacement from this population. -Compare the mean of the sampling distribution of hooded orioles to the mean of the population of hooded orioles.

Use the Standard Normal distribution to answer the following questions. -Identify the probability corresponding to a z-score of less than -1.57.

Use the following data for the next questions. The ages of five residents in aretirement community are: -Describe whether the data appear to come from a population of ages of residents in a retirement community that has a normal distribution.

Use the following distribution for the next questions. The mean maximum aerobic pow ) score for men ages 20 to 29 is 43 ml/min/kg with a standard deviation of 7 ml/min/kg. -Determine the maximum VO2MAX score for men needing aerobic power intervention ages 20 to 29 scoring in the bottom 20%.