Question

The American Water Works Association reports that the per capita water use in a single-family home...

The American Water Works Association reports that the per capita water use in a single-family home is 72 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-eight owners responded, and the sample mean water use per day was 67 gallons with a standard deviation of 9.0 gallons per day.

At the 0.01 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average?

a.

What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

  Reject H0: μ ≥ 72 and fail to reject H1: μ < 72 when the test statistic is (Click to select)less thanmore than .
b.

The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

c. What is your decision regarding H0?
Reject
Fail to reject

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The American Water Works Association reports that the per capita water use in a single family...
The American Water Works Association reports that the per capita water use in a single family home is 76 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-seven owners responded, and the sample mean water use per day was 71 gallons with a standard deviation of 9.5 gallons per day. At the 0.01 level of significance, is that...
URGENT. The Turkish Water Works Association reports that the per capita water use in a single-family...
URGENT. The Turkish Water Works Association reports that the per capita water use in a single-family home followed a normal distribution with mean µ=64 liters and standard deviation σ=9.4 liters per day. Mesa Mozaik is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-nine owners responded, and the sample mean water use per day was 60 liters. At the 0.01 level of significance, is...
A national grocer’s magazine reports the typical shopper spends 7 minutes in line waiting to check...
A national grocer’s magazine reports the typical shopper spends 7 minutes in line waiting to check out. A sample of 17 shoppers at the local Farmer Jack’s showed a mean of 6.4 minutes with a standard deviation of 4.3 minutes. Is the waiting time at the local Farmer Jack’s less than that reported in the national magazine? Use the 0.050 significance level. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to...
1-) A national grocer’s magazine reports the typical shopper spends 9.5 minutes in line waiting to...
1-) A national grocer’s magazine reports the typical shopper spends 9.5 minutes in line waiting to check out. A sample of 27 shoppers at the local Farmer Jack’s showed a mean of 9.1 minutes with a standard deviation of 2.2 minutes. Is the waiting time at the local Farmer Jack’s less than that reported in the national magazine? Use the 0.010 significance level. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer...
The management of White Industries is considering a new method of assembling its golf cart. The...
The management of White Industries is considering a new method of assembling its golf cart. The present method requires 50.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 60 carts, using the new method, was 48.6 minutes, and the standard deviation of the sample was 2.8 minutes. Using the 0.10 level of significance, can we conclude that the assembly time using the new method is faster? a. What is the decision...
According to the Census Bureau, 3.26 people reside in the typical American household. A sample of...
According to the Census Bureau, 3.26 people reside in the typical American household. A sample of 26 households in Arizona retirement communities showed the mean number of residents per household was 2.89 residents. The standard deviation of this sample was 1.25 residents. At the .05 significance level, is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.26 persons? (a) State the null hypothesis and the alternate hypothesis. (Round your answer to...
A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less...
A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.35 cups per day and 1.49 cups per day for those drinking decaffeinated coffee. A random sample of 49 regular-coffee drinkers showed a mean of 4.20 cups per day. A sample of 45 decaffeinated-coffee drinkers showed a mean of 5.10 cups per day. Use the 0.050 significance level....
Consider the following competing hypotheses and accompanying sample data. Use Table 1. H0: p1 − p2...
Consider the following competing hypotheses and accompanying sample data. Use Table 1. H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0   x1 = 236 x2 = 254   n1 = 387 n2 = 387 a. At the 5% significance level, find the critical value(s). (Negative values should be indicated by a minus sign. Round your answer to 2 decimal places.)   Critical value    b. Calculate the value of the test statistic. (Negative value should be indicated by a...
According to the Census Bureau, 3.34 people reside in the typical American household. A sample of...
According to the Census Bureau, 3.34 people reside in the typical American household. A sample of 27 households in Arizona retirement communities showed the mean number of residents per household was 2.86 residents. The standard deviation of this sample was 1.13 residents. At the .05 significance level, is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.34 persons? a. State the null hypothesis and the alternate hypothesis. (Round your answer to...
Given the following hypothesis:     H0 : μ = 125     H1 : μ ≠ 125...
Given the following hypothesis:     H0 : μ = 125     H1 : μ ≠ 125     A random sample of six resulted in the following values 132, 132, 130, 143, 140, and 130.     Using the 0.05 significance level, can we conclude the mean is different from 125?     (a) What is the decision rule? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)     Reject H0 : μ = 125 and...