Question

In: Statistics and Probability

According to a government energy agency, the mean monthly household electricity bill in the United States...

According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.54. Assume the amounts are normally distributed with standard deviation $25.00. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of bills are greater than $132?

(b) What proportion of bills are between $90 and $145?

$129? Round the answers to at least four decimal places.

Solutions

Expert Solution

Let "X" be the mean monthly household electricity bill in the United States in 2011

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.8984, TRUE)" to find the probability.

The proportion of bills are greater than $132 is

-------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(1.4184, TRUE)" & "=NORM.S.DIST(-0.7816, TRUE)" to find the probability.

The proportion of bills are between $90 and $145 is

-------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.7784, TRUE)" to find the probability.

The probability that a randomly selected household had a monthly bill less than $129 is

orchestra answered 1 year ago

Next > < Previous

Related Solutions

According to a government energy agency, the mean monthly household electricity bill in the United States...

According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $ 110.66 . Assume the amounts are normally distributed with standard deviation $ 20.00 . (a) Find the 7 th percentile of the bill amounts. (b) Find the 65 th percentile of the bill amounts. (c) Find the median of the bill amounts.

According to a government energy agency, the mean monthly household electricity bill in the United States...

According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $108.99 . Assume the amounts are normally distributed with standard deviation $19.00 . (a) What proportion of bills are greater than $133 ? (b) What proportion of bills are between $82 and $140 ? (c) What is the probability that a randomly selected household had a monthly bill less than $119 ? Round the answers to at least four decimal places.

6.1 question 16 please make answer clear Electricity bills: According to a government energy agency, the...

6.1 question 16 please make answer clear Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.99. Assume the amounts are normally distributed with standard deviation $17.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $120? (b) What proportion of bills are between $80 and $135? (c) What is the probability that a randomly selected household had a monthly...

According to a government agency, the average daily water consumption for a household of four people...

According to a government agency, the average daily water consumption for a household of four people in a particular country is at least 245 gallons. Suppose another agency plans to test this claim using an alpha level equal to 0.10 and a random sample of 100 households with four people. Complete parts a and b. a. State the appropriate null and alternative hypotheses. Choose the correct hypotheses below. A. H0 muμgreater than or equals≥245245 HA:= muμless than<245245 B. H0: muμless...

According to a report by Scarborough Research, the average monthly household cellular phone bill is $73....

According to a report by Scarborough Research, the average monthly household cellular phone bill is $73. Suppose local monthly household bills are normally distributed with a standard deviation of $11.35. (a) What is the probability that a randomly selected monthly cellphone bill is between $60 and $74? (b) What is the probability that a randomly selected monthly cellphone bill is between $79 and $88? (c) What is the probability that a randomly selected monthly cellphone bill is no more than...

According to the International Atomic Energy Agency, per capita electricity consumption in Canada was 16,939 kWh...

According to the International Atomic Energy Agency, per capita electricity consumption in Canada was 16,939 kWh in 2002. A random sample of 51 households was monitored for one year to determine electricity usage. If the population standard deviation of annual usage is 3,500 kWh, what is the probability that the sample mean will be each of the following? a.More than 18,000 kWh b.More than 17,500 kWh c.Between 17,000 kWh and 18,000 kWh d.Less than 16,000 kWh e.Less than 15,000 kWh

In 2001, the mean household expenditure for energy was $1493, according to data obtained from the...

In 2001, the mean household expenditure for energy was $1493, according to data obtained from the U.S. Energy Information Administration. An economist wanted to know whether this amount has changed significantly from its 2001 level. In a random sample of 35 households, he found the sample mean to be $1618 and the sample standard deviation to be $321. Test the claim that the mean expenditure has changed siginificanlty from the 2001 level at the 0.05 level of significance. State your...

In 2001, the mean household expenditure for energy was $1493, according to data from the U.S....

In 2001, the mean household expenditure for energy was $1493, according to data from the U.S. Energy Information Administration. An economist wants to test whether this amount has changed significantly from its 2001 level. In a random sample of 35 households, he found the mean expenditure for energy during the most recent year to be $1618, with a standard deviation $321. Conduct a hypothesis test at 10% significance level to see whether we have strong evidence to support the economist’s...

1. In the 1970s, the United States federal government created a Department of Energy. This is...

1. In the 1970s, the United States federal government created a Department of Energy. This is a time when the OPEC (Organization of Petroleum Exporting Countries) cartel first became prominent. Identify how this action might have impacted the three major macroeconomic goals of our economy. 2. Suppose you live in a community of 100 people where everyone is able and seeks to work. If 80 people are over 16 years old and 72 of them are employed, what is the...

According to CTIA-The Wireless Association, the mean monthly cell phone bill in 2018 was $60.64. A...

According to CTIA-The Wireless Association, the mean monthly cell phone bill in 2018 was $60.64. A market researcher believes that the mean monthly cell phone bill has increased today. a) What would be the null and alternative hypothesis for testing whether the mean monthly cell phone bill today has increased since 2018? b) Calculate the P-Value if the researcher phones a random sample of 40 cell phone subscribers and gets a sample average of $67.45 with a sample standard deviation...

Subjects