(ANSWER) MATH 225N WEEK 5 ASSIGNMENT: UNDERSTANDING THE EMPIRICAL RULE - Essay Prowess

(ANSWER) MATH 225N WEEK 5 ASSIGNMENT: UNDERSTANDING THE EMPIRICAL RULE

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Question 

  1. Suppose a random sample of biweekly snowfalls in the pacific northwest has a sample mean of x¯=22.2 inches, with a sample standard deviation of s=3.5 inches. Since snowfall amounts in this area are generally symmetric and bell-shaped, we can apply the Empirical Rule.

Between what two amounts are approximate 99.7% of the data?

Round your answer to the nearest tenth.

Provide your answer below:

Approximately $99.7\% of the snowfall amounts are between——–
inches and———–inches.

2)

Question

A random sample of hybrid vehicle fuel consumptions has a sample mean of x¯=53.2 mpg and sample standard deviation of s=4.8 mpg.  Use the Empirical Rule to estimate the percentage of hybrid vehicle fuel consumptions that are less than 43.6 mpg.

Round your answer to the nearest tenth.

Provide your answer below:


3)

Question

A random sample of small business stock prices has a sample mean of x¯=$54.82 and sample standard deviation of s=$8.95.  Use the Empirical Rule to estimate the percentage of small business stock prices that are more than $81.67.

Round your answer to the nearest hundredth.

4)

Question

A random sample of Statistics final exam scores has a sample mean of x¯=65 and a sample standard deviation of s=11.  Use the Empirical Rule to estimate the approximate percentage of final exam scores that are less than 54.

Round your answer to the nearest whole number (percent).

Provide your answer below:

 

 

 

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