Ms. Rigano's Math Classes
Ch 2 - Practice with the graphing calculator Name:
Use the graphing calculator to help you solve the following questions:
1) Graph and examine a situation where the mean score is 46 and the standard deviation is 8.5 for a normally distributed set of data. What is the probability of a value falling between the mean and the first standard deviation to the right?
2) The final exam scores in a statistics class were normally distributed with a mean of 58 and a standard deviation of 4. Find the probability that a randomly selected student scored more than 62 on the exam.
3) The target inside diameter is 50 mm but records show that the diameters follow a normal distribution with mean 50 mm and standard deviation 0.05 mm. An acceptable diameter is one within the range 49.9 mm to 50.1 mm. What proportion of the output is acceptable?
4) A normally distributed random variable X has a mean of 20 and a standard deviation of 4. Determine the probability that a randomly selected x-value is between 15 and 22.
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Ch 2 - Practice with the graphing calculator Name:
Use the graphing calculator to help you solve the following questions:
1) Graph and examine a situation where the mean score is 46 and the standard deviation is 8.5 for a normally distributed set of data. What is the probability of a value falling between the mean and the first standard deviation to the right?
2) The final exam scores in a statistics class were normally distributed with a mean of 58 and a standard deviation of 4. Find the probability that a randomly selected student scored more than 62 on the exam.
3) The target inside diameter is 50 mm but records show that the diameters follow a normal distribution with mean 50 mm and standard deviation 0.05 mm. An acceptable diameter is one within the range 49.9 mm to 50.1 mm. What proportion of the output is acceptable?
4) A normally distributed random variable X has a mean of 20 and a standard deviation of 4. Determine the probability that a randomly selected x-value is between 15 and 22.
5) The lifetime of a battery is normally distributed with a mean life of 40 hours and a standard deviation of 1.2 hours. Find the probability that a randomly selected battery lasts longer than 42 hours.
6) Professor Halen has 184 students in his college mathematics lecture class. The scores on the midterm exam are normally distributed with a mean of 72.3 and a standard deviation of 8.9. Jane wants to score in the top 5% of the class. What is the minimum score that she can get to meet this requirement?
7) In one city, snowfall totals were recorded for two seasons and are as follows (in inches):
8.6, 9.5, 14.1, 11.5, 7.0, 8.4, 9.0, 6.7, 21.5, 7.7, 6.8, 6.1, 8.5, 14.4, 6.1, 8.0, 9.2, 7.1
What are µ and the σ for this data, to the nearest hundredth?
Is a the data normal? How do you know?
5) The lifetime of a battery is normally distributed with a mean life of 40 hours and a standard deviation of 1.2 hours. Find the probability that a randomly selected battery lasts longer than 42 hours.
6) Professor Halen has 184 students in his college mathematics lecture class. The scores on the midterm exam are normally distributed with a mean of 72.3 and a standard deviation of 8.9. Jane wants to score in the top 5% of the class. What is the minimum score that she can get to meet this requirement?
7) In one city, snowfall totals were recorded for two seasons and are as follows (in inches):
8.6, 9.5, 14.1, 11.5, 7.0, 8.4, 9.0, 6.7, 21.5, 7.7, 6.8, 6.1, 8.5, 14.4, 6.1, 8.0, 9.2, 7.1
What are µ and the σ for this data, to the nearest hundredth?
Is a the data normal? How do you know?
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