Outcome 3 Distributions

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

• -1.33
• 1.33
• 0.88
• 1.02

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The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What is the probability that you have more than 7 accidents?

• 0.3446

• 0.2856

• 0.4

• 0.6554

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above
• two below and two above
• two below and zero
• zero and two above

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The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.

If waist sizes are normally distributed, what is the probability someone will have a waist sizes greater than 31 inches?

• 92.4%

• 10.5%

• 16%

• 7.6%

The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?

• 115
• 130.75
• 145
• 120

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What is the the total area under the standard normal distribution curve?

• 100
• 25
• .5
• 1

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The z-score represents.....

• the amount of standard deviations a data value is above or below the mean.

• the percentile the data value is above or below the mean.

• the amount of inches or seconds something is away from average

• the percent the data value is above or below the mean.

Birthweights at a local hospital have a Normal distribution with a mean of 110 oz. and a standard deviation of 15 oz. The proportion of infants with birthweights between 125 oz. and 140 oz. is about

• 0.136

• 0.270

• 0.477

• 0.636

• 0.819

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A distribution showing the sample means of all sample of size n of a population is called

• Normal Distribution

• Binomial Distribution

• Sampling Distribution

• Uniform Distribution

The average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. These prices are strongly right-skewed. What is the shape of the  sampling distribution if n = 49?

• Strongly Right Skewed
• Approximately Bell Shaped
• Roughly Uniform
• Strongly left skewed