Question

According to the national association of realtors, it took an average of three weeks to sell a home in data for the sale of randomly selected homes sold in greene county, ohio, in showed a sample mean of weeks with a sample standard deviation of weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in greene county differed from the national average in . Round your answer to four decimal places.

a. Reject . There is a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.
b. Reject . There is not a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.
c. Do not reject . There is a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.
d. Do not reject . There is not a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County.

Answer 1

To conduct a hypothesis test to determine if the mean length of time doing homework each week has increased, we need to set up the null and alternative hypotheses.

Step-by-step explanation:

To conduct a hypothesis test to determine if the mean length of time doing homework each week has increased, we need to set up the null and alternative hypotheses.

Null Hypothesis (H0):

The mean length of time doing homework each week is not increased.

Alternative Hypothesis (Ha):

The mean length of time doing homework each week has increased.

To test these hypotheses, we can use a one-sample t-test because we know the population standard deviation (1.5) and have a sample mean (3) and sample size (26). We can calculate the test statistic and compare it to the critical value or p-value to make a conclusion about the null hypothesis.