Question
In: Statistics and Probability
1. Assuming the starting income new College graduates is normally distributed with a mean of $60,000 and...
1. Assuming the starting
income new College graduates is normally distributed with a mean of
$60,000 and standard deviation of $9,000.
A. What is the
probability of selecting a new College graduate at random and
finding that he/she has a starting salary of less than
$55,000?
B. What proportion of new
College graduates would be expected to have a starting salary of
more than $48,000?
C. What is the probability of
randomly selecting a new College graduate with a starting salary
between $60,000 and $75,000?
D. What is the probability of
selecting a new College graduate at random with a starting salary
of less than $85,000?
E. What percentage of new
College graduates would be expected to have starting salaries
between $50,000 and $70,000?
2. Suppose a company wanted
to know if there was a significant in the average income of its
male and female customers. Develop a null and alternate
hypothesis for such a problem and give a conclusion based on the
p-value results of .04.
Assume you are testing at the .05 level of significance.
3. A company wants to know the useful life of a new revolutionary lightbulb it has just developed. A mean of 64 of these bulbs revealed a mean useful life of 30,000 with a standard deviation of 1,500 hours.
A. Use this information to
develop a 95% confidence interval for the mean useful life of all
new revolutionary lightbulbs.
B. Use this information to
develop a 98% confidence interval for the mean useful life of all
new revolutionary lightbulbs.
4. A pizza delivery company is concerned that it can no longer count on its average variable cost of $ 4.00 or less. A sample of 36 pizzas revealed a variable cost of $4.05 and a standard deviation of $.25. Testing at the .05 level of significance. Develop null and alternate hypothesis for this claim and give a conclusion if your p-value is .06.
Solutions
orchestra answered 2 years agoRelated Solutions
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