Question

In: Statistics and Probability

Consumers Energy states that the average electric bill across the state is $48.287. You want to...

Consumers Energy states that the average electric bill across the state is $48.287. You want to test the claim that the average bill amount is actually less than $48.287. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 48.287, Alternative Hypothesis: μ < 48.287. A random sample of 35 customer's bills shows an average cost of $51.651 with a standard deviation of $8.3447. What is the test statistic and p-value for this test?

Solutions

Expert Solution

TOPIC:Test for the population mean.

R CODE AND OUTPUT:


Related Solutions

Consumers Energy states that the average electric bill across the state is $147.49. You want to...
Consumers Energy states that the average electric bill across the state is $147.49. You want to test the claim that the average bill amount is actually less than $147.49. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 147.49, Alternative Hypothesis: μ < 147.49. You complete a randomized survey throughout the state and perform a one-sample hypothesis test for the mean, which results in a p-value of 0.0416. What is the appropriate conclusion? Conclude at the 5%...
Consumers Energy states that the average electric bill across the state is $41.553. You want to...
Consumers Energy states that the average electric bill across the state is $41.553. You want to test the claim that the average bill amount is actually greater than $41.553. The hypotheses for this situation are as follows: Null Hypothesis: μ ≤ 41.553, Alternative Hypothesis: μ > 41.553. A random sample of 47 customer's bills shows an average cost of $43.307 with a standard deviation of $8.0202. What is the test statistic and p-value for this test? 1) Test Statistic: -1.499,...
*****Please answer all questions***** Question 1 (1 point) Consumers Energy states that the average electric bill...
*****Please answer all questions***** Question 1 (1 point) Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test? Question 1 options: 1) HO: μ ≥ 39.09 HA: μ < 39.09 2) HO: μ ≠ 39.09 HA: μ = 39.09 3) HO: μ ≤ 39.09 HA: μ > 39.09 4) HO: μ > 39.09...
An electric heater is really just a resistor with a voltage across it. If you want...
An electric heater is really just a resistor with a voltage across it. If you want to have 682 W of heat with a voltage V = 112 volts, what resistance (Ω) should the heater coil have?
Homeowners across the nation are concerned with how much their electric bill is each month. The...
Homeowners across the nation are concerned with how much their electric bill is each month. The American Housing Survey collects that information along with a whole host of other variables including the number of bedrooms in a house. Can the number of bedrooms in a house help us predict the electric bill? Twenty randomly selected houses produced the key numeric measures below where x = number of bedrooms and y = amount of electric bill in dollars. n=20 Σx =...
The average monthly electric bill of a random sample of 256 residents of a city is...
The average monthly electric bill of a random sample of 256 residents of a city is $90 with a standard deviation of $24. Construct a 95% confidence interval for the mean monthly electric bills of all residents. (Round to two decimal places) [Answer, Answer] Construct a 99% confidence interval for the mean monthly electric bills of all residents. (Round to two decimal places) [Answer, Answer]
Suppose you use an average of 460 kW·h of electric energy per month in your home....
Suppose you use an average of 460 kW·h of electric energy per month in your home. (a) How long would 1.00 g of mass converted to electric energy with an efficiency of 38.0 % last you? (b) How many homes could be supplied at the 460 kW·h per month rate for one year by the energy from the described mass conversion?
The makers of a soft drink want to identify the average age of its consumers. A...
The makers of a soft drink want to identify the average age of its consumers. A sample of 55 consumers was taken. The average age in the sample was 21 years with a standard deviation of 4 years. a. Construct a 95% confidence interval for the true average age of the consumers. b. Construct an 80% confidence interval for the true average age of the consumers. c. Discuss why the 95% and 80% confidence intervals are different.
The makers of a soft drink want to identify the average age of its consumers. A...
The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average age in the sample was 32 years with a sample standard deviation of 5 years. Please answer the following questions: a. Construct a 95% confidence interval estimate for the mean of the consumers’ age. b. Suppose a sample of 51 was selected (with the same mean and the sample standard deviation). Construct a 95% confidence interval...
The makers of a soft drink want to identify the average age of its consumers. A...
The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average age in the sample was 32 years with a sample standard deviation of 5 years. Please answer the following questions: a. Construct a 95% confidence interval estimate for the mean of the consumers’ age. b. Suppose a sample of 51 was selected (with the same mean and the sample standard deviation). Construct a 95% confidence interval...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT