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How much money does a typical family of four spend at a McDonald’s restaurant per visit? The amount is a normally distributed random variable with a mean of $16.40 and a standard deviation of $2.75.

a. Find the probability that a family of four spends less than $10.

b. What is the amount below which only 10% of families of four spend at McDonald’s?


When pond water is examined under the microscope there are nasty bugs to be seen. The average concentration of these bugs is 3 per milliliter. Determine the probability that a random sample of 5 milliliters of pond water contains exactly 14 bugs:
a) Using the Poisson distribution.
b) Using the Normal approximate to the Poisson distribution.

Sugar is packed in 5-pound bags. An inspector suspects the bags may not contain 5 pounds. A sample of 50 bags produces a mean of 4.6 pounds and a standard deviation of 0.7 pound. Is there enough evidence to conclude that the bags do not contain 5 pounds as stated, at α = 0.05? Also, find the 95% confidence interval of the true mean.


On the basis of the previous record, an average of 4 accidents in one day occur on the superhighway during peak rush timings. Calculate the following if possible. If any part of question (you feel) is not possible to calculate give reason:
a. Evaluate the probability that on any Particular day there will be fewer than 3 accidents on this superhighway during the peak rush timings.
b. Compute the probability that on any Particular day there will be more than 6 accidents on this Super highway during the peak rush timings.
c. Find the Expected number of accidents per day and variance.
“Chief Grill” is a local restaurant, its annual data shows that the average sale of chicken steaks is 1200 serving per month with a standard deviation of 102. If the data is normally distributed; calculate the probability of sale of chicken steaks in the next month will be:
a. less than 1000 servings
b. more than 1400 servings
c. between 1100 to 1300 serving
d. less than 1000 but not less than 1350
The number of sample space when a regular dice is rolled twice, or when two dice are rolled together
what is it and write the sample space
We wish to check that normal body temperature may be less than 98.6 degrees. In a random sample of n = 18 individuals, the sample mean was found to be 98.217 and the standard deviation
was 0.684. Assume the population is normally distributed. Use=0.05.
Among 157 African-American men, the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. We wish to know if on the basis of these data, we may conclude that the mean systolic blood pressure for a population of African-American is greater than 140. Use α=0.01.
A job placement director claims that the average starting salary for nurses is $24,000. A sample of 10 nurses has a mean of $23,450 and a standard deviation of $400. Is there enough evidence to reject the director’s claim at α = 0.05?
With individual lines at its various windows, a post office founds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. The post office experiments with a single main waiting line and founds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes. With a
significance level of 5%, test the claim that a single line causes lower variation among waiting times (shorter waiting times) for customers.
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