Question

In: Statistics and Probability

The average amount of money that people spend at Don Mcalds fast food place is $7.9500...

The average amount of money that people spend at Don Mcalds fast food place is $7.9500 with a standard deviation of $1.8200. 43 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution.

  1. What is the distribution of X? X ~ N(,) _____
  2. What is the distribution of ¯x? ¯x ~ N(,) _____
  3. What is the distribution of ∑x? ∑x ~ N(,) _____
  4. What is the probability that one randomly selected customer will spend more than $7.9938?  _____
  5. For the 43 customers, find the probability that their average spent is less than $7.9938.  _____
  6. Find the probability that the randomly selected 43 customers will spend more than $343.7334.  _____
  7. For part e) and f), is the assumption of normal necessary? Yes or No
  8. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 43 people who spend the most money. At least how much must a group of 43 spend in total to get the free sundae? $_____

Solutions

Expert Solution

Given:

= 7.9500, = 1.8200, n = 43

a)

X ~ N(x, x)

X ~ N( 7.9500, 1.8200)

b)

~ N (x, x/ )

~ N( 7.9500, 1.8200/)

~ N (7.9500, 0.2775)

C)

D)

Find: P(X > 7.9938)

             .....................Using standard Normal table


Related Solutions

The average amount of money that people spend at Don Mcalds fast food place is $7.8000...
The average amount of money that people spend at Don Mcalds fast food place is $7.8000 with a standard deviation of $1.8800. 17 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X ? X ~ N(,) What is the distribution of x ? x ~ N(,) What is the distribution of ∑ x? ∑ x ~ N(,) What is...
The average amount of money that people spend at Don Mcalds fast food place is $7.3300...
The average amount of money that people spend at Don Mcalds fast food place is $7.3300 with a standard deviation of $1.5500. 43 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X X ? X X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,) What is the distribution of ∑ x...
The average amount of money that people spend at Don Mcalds fast food place is $7.5600...
The average amount of money that people spend at Don Mcalds fast food place is $7.5600 with a standard deviation of $1.5100. 14 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. For the 14 customers, find the probability that their average spent is more than $8.0946. Find the probability that the randomly selected 14 customers will spend more than $113.3244. For part e) and...
1. The mean amount of money that U.S adults spend on food in a week is...
1. The mean amount of money that U.S adults spend on food in a week is $140 and standard deviation is $42. Random samples of size 40 are drawn from this population and the mean of each sample is determined. a. Find the mean and standard deviation of the sampling distribution of sample means. b. What is the probability that the mean amount spent on food in a week for a certain sample is more than $143? c. What is...
If you spend $24.00 on average each day eating fast food, how much will you spend...
If you spend $24.00 on average each day eating fast food, how much will you spend on average each month? Assume 30 days in a month.
University students spend lots of money on fast food. You are asked to forecast how much...
University students spend lots of money on fast food. You are asked to forecast how much money those students spend on fast food each week. What is/are the dependent variable which you should consider in your analysis? What are the independent variables?
How much money does the average professional football spend on food at a single game?
How much money does the average professional football spend on food at a single game? That question was posed to 10 randomly selected football fans. The sample results provided a sample mean and a standard deviation of $19.00 and $2.55, respectively. Use this information to find the Error
A marketing researcher analyzing the fast-food industry noticed the following: The average amount spent at a...
A marketing researcher analyzing the fast-food industry noticed the following: The average amount spent at a fast- food restaurant in California was $3.30, with a standard deviation of $0.40. Yet in Georgia, the average amount spent at a fast-food restaurant was $3.25, with a standard deviation of $0.10. What do these statistics tell you about fast-food consumption patterns in these two states? Describe how a pilot study can help a researcher determine the appropriate sample size to use in the...
The research firm conducted a survey to determine the average mean amount of money smokers spend...
The research firm conducted a survey to determine the average mean amount of money smokers spend on cigarettes per week. A sample of 19 smokers reveals a mean and standard deviation of $20 and $5 respectively. find the intercept the 99% confidence interval for the mean.
A movie theater manager believes the average amount of money customers spend on snacks is over...
A movie theater manager believes the average amount of money customers spend on snacks is over $15. To test the claim, a theater employee tracks the spending of 25 randomly selected customers. The sample mean is $17.08 with a sample standard deviation of $4.81. a) What is the Null Hypothesis and the Alternative Hypothesis for the manager’s claim? b) Assuming the population is normal, should we use the Normal z-test or the Student’s t-test?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT