Exam 5: Normal Probability Distributions

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 sample of 50 women would smile less than 58 times?

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

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 a group of 40 workers 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 greater than 48 ml/min/kg.

Use the following data for the next questions. The number of prescriptions filled (in millions) through patient assistance programs during the last eight years was: -Describe whether the data appear to come from a population of the number of prescriptions filled through patient assistance programs that has a normal distribution.

Choose the choice of statistics that best target population parameters.

Use the Standard Normal distribution to answer the following questions. -Identify the probability corresponding to a z-score of greater than -1.33.

Use the following data for the next questions. The number of prescriptions filled (in millions) through patient assistance programs during the last eight years was: -Construct a normal quantile plot.

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 greater than 45 ml/min/kg.

Use the Normal distribution to approximate the following Binomial distribution. -Tooth decay remains the most common chronic disease among children with 59% affected. On a typical day, a dentist sees 40 children. What is the probability that more than 20 children will have tooth decay?

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

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. -Find the mean of the sampling distribution of hooded orioles.

Use the Standard Normal distribution to answer the following questions. -Identify the probability corresponding to a z-score of less than -1.33.

Use the Standard Normal distribution to answer the following questions. -Identify the probability corresponding to z-scores between -1.33 and .57

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

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

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. -Find the mean of the sampling distribution of yellow-throated warblers.

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. -Compare the mean of the sampling distribution of yellow-throated warblers to the mean of the population of yellow-throated warblers.