The average price of homes sold in the U.S. in the past year was
$220,000. A random sample of 81 homes sold this year showed an
average price of $210,000. It is known that the standard deviation
of the population is $36,000. At 95% confidence test to determine
if there has been a significant decrease in the average price
homes.
a.State the null and alternative hypotheses to be tested.
b.Compute the test statistic.
c.Compute the p-value.
d.What do you conclude?
The average price of homes sold in the U.S. in the past year was $220,000. A...
The average price of homes sold in the U.S. in the past year was $220,000. A random sample of 81 homes sold this year showed an average price of $210,000. It is known that the standard deviation of the population is $36,000. At a 1% level of significance, test to determine if there has been a significant decrease in the average price of homes. Reject HO Do not reject HO Do not accept HA Not enough information provided
6. The average price of homes sold in the U.S. in 2012 was $240,000. A sample of 144 homes sold in Chattanooga in 2012 showed an average price of $246,000. It is known that the standard deviation of the population is $36,000. We are interested in determining whether or not the average price of homes sold in Chattanooga is significantly different than the national average. Let α = .01 a. Verify whether the Central Limit Theorem conditions are met. b....
It is known from past information that the average house in America has 2.5 bedrooms. Suppose I take a sample of 28 houses now and find that the average number of bedrooms the homes have is 2.85 with a sample standard deviation of .83. I’m interested in seeing if there is evidence that the average number of bedrooms has increased. Using my sample of 28 houses, what would be the 95% confidence interval for the population mean? What are the...
According to Relators-R-Us, the average price per square foot of homes in western Kansas is $85 with a standard deviation of $11.24. Using recent sales figures that happened in the city of Hays, the relators wish to determine if the average price per square foot in Hays is significantly different at the 1% level. In using a collection of thirty-seven randomly homes recently sold in Hays, they found the average price of these home was at $88.25 per square foot....
A real estate investor thinks the real estate market has bottomed out. One of the variables he examined to arrive at this conclusion was the proportion of houses sold at or above the asking price. Last year, the proportion of houses sold at or above the asking price was 14%. The real estate investor takes a random sample of 40 recently sold houses and finds that nine of them are selling at or above the asking price.a. Specify the population...
The sample data consist of 23 houses from a specific city yielded the average house price $226,460 and the standard deviation of the house price $11,500. Use a significance level 0.01 to test whether the mean house price of the whole city is more than $220,000. Compute the value of the test statistic, and P-value for the specified hypothesis test and state your conclusion. Assume the house prices of this city follows normal distribution. Question 2 options: Test statistic: t...
The sample data consist of 23 houses from a specific city yielded the average house price $226,460 and the standard deviation of the house price $11,500. Use a significance level 0.01 to test whether the mean house price of the whole city is more than $220,000. Compute the value of the test statistic, and P-value for the specified hypothesis test and state your conclusion. Assume the house prices of this city follows normal distribution. Test statistic: t = 2.69, p-value...
2) Is the average gas price in Massachusetts lower than the national average? According to AAA Gas Prices (http://gasprices.aaa.com/), the average gas price in the U.S. as of October 2019 was $2.61 with a standard deviation of $0.23. A random sample of 30 gas stations in Massachusetts had a mean of $2.56. The null and alternative hypotheses for a hypothesis test for these data are: Ho: Gas = 2.61 HA: Gas 2.61 A hypothesis test at the 0.05 level of...
According to a recent survey of the 18,000 funeral homes of a certain nation, funeral homes collected an average of $6,700 per full-service funeral last year. A random sample of 36 funeral homes reported revenue data for the current year. Among other measures, each reported its average fee for a full-service funeral. These data (in thousands of dollars) are shown in the accompanying table. Complete parts a through c below. Table 7.5 9.1 5.4 8.6 7.7 6.3 5.9 8.6 6.5...
Refer to the Real Estate data, which report information on the homes sold in Goodyear, Arizona, last year. a. A recent article in the Arizona Republic indicated that the mean selling price of the homes in the area is more than $220,000. Can we conclude that the mean selling price in the Goodyear, AZ, area is more than $220,000? Use the .01 significance level. What is the p-value? b. The same article reported the mean size was more than 2,100...