Question

A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 37 floors of WaxWin and 30 of WaxCo, WaxWin had a mean lifetime of 26.2 and WaxCo had a mean lifetime of 21.9. The population standard deviation for WaxWin is assumed to be 9.1 and the population standard deviation for WaxCo is assumed to be 9.2. Perform a hypothesis test using a significance level of 0.10 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2. The correct hypotheses are: H0: μ1 = μ2 HA: μ1 ≠ μ2 (claim) Since the level of significance is 0.10, the critical value is ±1.645. The test statistic is: (round to 3 places) The p-value is: (round to 3 places) A random sample of 30 chemists from Washington state shows an average salary of $42,546. The population standard deviation for chemist salaries in Washington state is $868. A random sample of 39 chemists from Florida state shows an average salary of $48,395. The population standard deviation for chemist salaries in Florida state is $945. A chemist that has worked in both states believes that chemists in Washington make more than chemists in Florida. At α = 0.05, is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are: H0: μ1 ≤ μ2 HA: μ1 > μ2 (claim) Since the level of significance is 0.05, the critical value is 1.645. The test statistic is: (round to 3 places) The p-value is: (round to 3 places) A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct, he randomly selects 45 families from a rural area and finds that they have an average income of $66,299 with a population standard deviation of $668. He then selects 31 families from an urban area and finds that they have an average income of $67,979 with a population standard deviation of $534. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban families be sample 2. The correct hypotheses are: H0: μ1 ≤ μ2 HA: μ1 > μ2 (claim) Since the level of significance is 0.01, the critical value is 2.326. The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 37 floors of WaxWin and 30 of WaxCo, WaxWin had a mean lifetime of 26.2 and WaxCo had a mean lifetime of 21.9. The population standard deviation for WaxWin is assumed to be 9.1 and the population standard deviation for WaxCo is assumed to be 9.2. Perform a hypothesis test using a significance level of 0.10 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2. The correct hypotheses are:
H0: μ1 = μ2
HA: μ1 ≠ μ2 (claim)

Since the level of significance is 0.10, the critical value is ±1.645.
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)

A random sample of 30 chemists from Washington state shows an average salary of $42,546. The population standard deviation for chemist salaries in Washington state is $868. A random sample of 39 chemists from Florida state shows an average salary of $48,395. The population standard deviation for chemist salaries in Florida state is $945. A chemist that has worked in both states believes that chemists in Washington make more than chemists in Florida. At α = 0.05, is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are:
H0: μ1 ≤ μ2
HA: μ1 > μ2 (claim)

Since the level of significance is 0.05, the critical value is 1.645.
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)

A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct, he randomly selects 45 families from a rural area and finds that they have an average income of $66,299 with a population standard deviation of $668. He then selects 31 families from an urban area and finds that they have an average income of $67,979 with a population standard deviation of $534. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban families be sample 2. The correct hypotheses are:
H0: μ1 ≤ μ2
HA: μ1 > μ2 (claim)

Since the level of significance is 0.01, the critical value is 2.326.
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)

Added by Christopher C.