Group 4

The mean amount of money that a family of four will spend on a baseball game, including the food and souvenirs, is $195 with a standard deviation of $50. Assume that this distribution is normal and calculate the following:

Find the probability that a particular family of four selected at random spends between $250 and $300?

What is the probability that the family spends less than $250?

What is the probability that the family spends more than $325?

What is the probability that the family spends between $100 and $160? (Be able to draw a graph to illustrate your results.)

Find the cost that represents the 50^th percentile.

Find the cost that represents the 90^th percentile.

5% of the families spend below what value?

The top 5% of the families spend above what value?

Between which two values will the middle 50% of the families spend?

What percent of the families spend at least $120 on the game?

Use the empirical rule to determine the following:

About 68% of the observations lie between which two values?

About 95% of the observations lie between which two values?

About 99% of the observations lie between which two values?

Use the normal distribution to determine the following:

68% of the observations lie between which two values?

95% of the observations lie between which two values?

99% of the observations lie between which two values?

Discuss the differences in the results for question 12 and question 11.