The amount people pay for electric service varies quite a bit, but the mean monthly fee...

The amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let x̄ be the mean amount paid.

Part A: What are the mean and standard deviation of the sample distribution of x̄? Show your work and justify your reasoning. (4 points)

Part B: What is the shape of the sampling distribution of x̄? Justify your answer. (2 points)

Part C: What is the probability that the average electric service paid by the sample of electric service customers will exceed $170? Show your work. (4 points) (10 points)

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

he amount people who pay for cell phone service varies quite a bit, but the mean...

he amount people who pay for cell phone service varies quite a bit, but the mean monthly fee is $55 and the standard deviation is $22. The distribution is not Normal. Many people pay about $30 for plans with 2GB data access and about $60 for 5GB of data access, but some pay much more for unlimited data access. A sample survey is designed to ask a simple random sample of 1,000 cell phone users how much they pay. Let...

Jolly Cleaners offers residential and commercial cleaning services. Clients pay a fixed monthly fee for the service, but can cancel the service at the end of any month.

Jolly Cleaners offers residential and commercial cleaning services. Clients pay a fixed monthly fee for the service, but can cancel the service at the end of any month. In addition to the employees who do the actual cleaning, the firm includes two managers who handle the administrative tasks (human resources, accounting, and so on) and one dispatcher, who assigns the cleaning employees to jobs on a daily basis.On average, residential clients pay $260 per month for cleaning services and the...

Explain the differences between fee for service and pay for performance? Include why you think some...

Explain the differences between fee for service and pay for performance? Include why you think some health providers resistant to one or the other? (b) Who stands to benefit from pay for performance approaches in health service delivery? Explain your position.

A researcher is interested in the mean amount of time it takes people to complete a...

A researcher is interested in the mean amount of time it takes people to complete a personality questionnaire. He selects 40 people at random and calculates the mean amount of time to be 20.4 min with a variance of 17.64 min2 . a) Define the parameter of interest. b) Define the random variable of interest. c) Name the distribution required to calculate confidence intervals. (Check the relevant criteria.) d) Construct a 98% confidence interval for the true mean amount of...

3.Yahoo said people who subscribe to the download service on a monthly basis will see their...

3.Yahoo said people who subscribe to the download service on a monthly basis will see their memberships increase from $6.99 per month to $11.99 per month. Portal company Yahoo Inc. ( Nasdaq: YHOO - news) informed customers of its subscription music download service that it will increase pricing for users who transfer their tunes onto portable devices or CDs. Explain yahoo’s pricing strategy

in a certain city, the monthly water bill amount is normally distributed with mean 25 and...

in a certain city, the monthly water bill amount is normally distributed with mean 25 and standard deviation 15. A sample of 36 bills was selected. What is the probability that the average water bill amount for the sample was between 26.7 and 30? round your answer to 4 decimal places. Do not write as percentage.

Jamie owes $21,750 at a 5% APR compounded monthly. The minimum amount that she must pay...

Jamie owes $21,750 at a 5% APR compounded monthly. The minimum amount that she must pay monthly is $230.69. How much sooner can she pay off this loan if she makes monthly payment of $300 ?

Pay period / 2018 allowance amount Weekly / $77.90 Biweekly / $155.80 Semimonthly / $168.80 Monthly...

Pay period / 2018 allowance amount Weekly / $77.90 Biweekly / $155.80 Semimonthly / $168.80 Monthly / $337.50 Quarterly / $1,012.50 Semiannually / $2,025.00 annually / $4,050.00 Easter bunny is married, and his pay is $2,000 per week. On his form W-4 easter claims married with one dependent child. Using the above table, calculate the following (Round answer to the nearest dollar) i.) Allowance amount: $ ii.) Withholding income: $

The amount of syrup that people put on their pancakes is normally distributed with mean 80mL...

The amount of syrup that people put on their pancakes is normally distributed with mean 80mL and a standard deviation of 12 mL. Suppose that 16 randomly selected people are observed pouring syrup on their pancakes. For the group of randomly selected 16 people. What is the probability that the average amount of syrup is between 75.5 mL and 84.5mL?

The amount of syrup that people put on their pancakes is normally distributed with mean 59...

The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 9 mL. Suppose that 18 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N(,) What is the distribution of ¯x ? ¯x ~ N(,) If a single randomly selected individual is observed, find the probability that this person consumes is...

Subjects