Assume that the average amount of money spent on video games is normally distributed with a...

Assume that the average amount of money spent on video games is normally distributed with a population standard deviation of 12.42 AED. Your friend wants to estimate the expenditure on video games, takes a sample of 10 students, and finds that the mean expenditure is 50.77 AED. a. Estimate with 99% confidence the average amount of expenditure on video games. b. How many students you need to sample in order to be within 5 AED, with 95% confidence? c. Assume that your friend told you that the average amount of expenditure from these 10 students should be at least 75 AED. Do you think he is correct? Explain using probabilities.

Solutions

Expert Solution

(a)

(b)

(c)

Ans : No, because probability is zero.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The amount of money spent on books by Hunter students in a semester is normally distributed...

The amount of money spent on books by Hunter students in a semester is normally distributed with a mean μ = $249, standard deviation σ = $30. What is the probability that a randomly chosen student from this populaiton will have spent between $200 and $300. (Use the z table or Excel to calculate and enter a probability .00 to 1.00)

The amount of money spent by Superstore customers is normally distributed with mean 150 and a...

The amount of money spent by Superstore customers is normally distributed with mean 150 and a standard deviation of 12. Suppose that a sample of 64 customers are selected. Answer the following questions. What is the mean of the sampling distribution? 150 140 170 240 What is the standard error of the sampling distribution? 1.23 1.50 1.55 1.20 What is the probability that the average spending by the customers is greater than 154? 0.9962 0.9966 0.0038 0.0048 What is the...

A study shows that the amount of time spent by millennials playing video games is 22.6...

A study shows that the amount of time spent by millennials playing video games is 22.6 hours a month, with a standard deviation of 6.1 hours. A bright UWI stats student has doubts about the study’s results. She believes that they actually spend more time. The student tries to resolve her doubts, and collects a random sample of 60 millennials, asking them to keep a daily log of their video game playing habits. Millennials in the sample played an average...

Assume that the amount of cornflakes in a box is normally distributed with a mean of...

Assume that the amount of cornflakes in a box is normally distributed with a mean of 16 oz. and a standard deviation of 0.1 oz. a) Determine the percent of boxes that will contain between 15.83 oz. and 16.32 oz. of cornflakes? b) Determine the percent of boxes that will contain more than 16.16 oz. of cornflakes. c) If the manufacturer produces 300,000 boxes, how many of them will contain less than 15.83 oz. of cornflakes? d) If the manufacturer...

It is believed that the average amount of money spent per U.S. household per week on...

It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $10. A random sample of 100 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. Are the results significant at the 5% level? a) No, we should fail...

The average amount of money spent for lunch per person in the college cafeteria is $5.67...

The average amount of money spent for lunch per person in the college cafeteria is $5.67 and the standard deviation is $2.76. Suppose that 45 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) For a single randomly selected lunch...

The average amount of money spent for lunch per person in the college cafeteria is $7.14...

The average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected lunch patron, find the probability that this patron's lunch...

The average amount of money spent for lunch per person in the college cafeteria is $6.63...

The average amount of money spent for lunch per person in the college cafeteria is $6.63 and the standard deviation is $2.54. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected lunch patron, find the probability that this patron's...

2) [4] The average amount of money spent by an Eddie Bauer customer is $127.56 with...

2) [4] The average amount of money spent by an Eddie Bauer customer is $127.56 with standard deviation $56.91. Assume the variable is normally distributed. Answer the following questions. a) What is the probability that an Eddie Bauer customer spent more than $120? b) What is the probability that a random sample of 12 Eddie Bauer customers spent an average between $110 and $130

Assume the average weight of a player in the NFL is normally distributed with a population...

Assume the average weight of a player in the NFL is normally distributed with a population mean of 245 pounds with a population standard deviation of 46 pounds. Suppose we take a sample of 50 NFL players. a. What is the probability that a randomly selected player will weigh over 300 pounds? b. What is the probability that a randomly selected player will weigh under 180 pounds? c. What is the probability that a randomly selected player will weigh between...

Subjects