Exam 5: The Normal Distribution

To find proportion of the area under the normal curve between two Z scores that are both above the mean,it is necessary to examine the

SELECT ALL THAT APPLY. -The area under the normal curve is

For a Z score of zero,what is the proportion of area between the mean and the Z score?

The annual salaries of employees in a large company are normally distributed with a mean of $50,000 and a standard deviation of $20,000.What percent of people earn between $45,000 and $65,000?

A standard normal table shows the area under the standard normal curve corresponding to any ______ or its fraction.

To find the percentile rank of a given score,it is necessary to determine the area

Scores for an exam are normally distributed with a mean of 235 and a standard deviation of 52.What is the percentile rank of a raw score 155?

The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18.Calculate the Z score associated with two siblings.

Scores for an exam are normally distributed with a mean of 235 and a standard deviation of 52.How high must an individual score to be in the highest 10%?

Scores for an exam are normally distributed with a mean of 235 and a standard deviation of 52.Then the cut-off point for the top 30% is 270.

What percentage of the area under the normal curve falls between ±1 standard deviations?

Scores for an exam are normally distributed with a mean of 235 and a standard deviation of 52.Then the score which corresponds to the bottom 24% is 199 or lower.

The mean age at first marriage for respondents in a survey is 23.33,with a standard deviation of 6.13.Suppose that a person experienced their first marriage at age 23.If the area beyond the Z-score associated with age 23 is 0.24,what proportion of respondents experienced their first marriage after age 23?

The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18.Calculate the Z score associated with three siblings and provide a substantive interpretation of this quantity.

Scores for an exam are normally distributed with a mean of 235 and a standard deviation of 52.Identify the scores which correspond to the bottom 5%?

The mean age at first marriage for respondents in a survey is 23.33,with a standard deviation of 6.13.The Z score associated with a particular age at first marriage is 0.35.If the proportion of the area between this particular age at first marriage and the mean is 0.14,what proportion of respondents experienced their first marriage earlier than this age?

Suppose that in a particular sample,the mean is 70.07 and the standard deviation is 10.27.What is the raw score associated with a Z score of 1.88?

Rare events,with smaller corresponding probabilities,are towards the middle of the normal curve.

The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18.Calculate the Z score associated with three siblings.

Suppose that in a particular sample,the mean is 50 and the standard deviation is 10.What is the Z score associated with a raw score of 68?