1. A custodian wishes to compare two competing floor waxes todecide which one is best. He believes that the mean of WaxWin isnot equal to the mean of WaxCo. In a random sample of 37 floors ofWaxWin and 30 of WaxCo. WaxWin had a mean lifetime of 26.2 andWaxCo had a mean lifetime of 21.9. The population standarddeviation for WaxWin is assumed to be 9.1 and the populationstandard deviation for WaxCo is assumed to be 9.2. Perform ahypothesis test using a significance level of 0.10 to help himdecide. Let WaxWin be sample 1 and WaxCo be sample 2. The correcthypotheses are: H 0 : μ 1 ≤ μ 2 H 0 : μ 1 ≤ μ 2 H A : μ 1 > μ 2H A : μ 1 > μ 2 (claim) H 0 : μ 1 ≥ μ 2 H 0 : μ 1 ≥ μ 2 H A : μ1 < μ 2 H A : μ 1 < μ 2 (claim) H 0 : μ 1 = μ 2 H 0 : μ 1 = μ2 H A : μ 1 ≠μ 2 H A : μ 1 ≠μ 2 (claim) Correct
Since the level of significance is 0.10 the critical value is1.645 and -1.645
The test statistic is: Incorrect(round to 3 places)
The p-value is: Incorrect(round to 3 places)
A random sample of 30 chemists from Washington state shows anaverage salary of $42546, the population standard deviation forchemist salaries in Washington state is $868. A random sample of 39chemists from Florida state shows an average salary of $48395, thepopulation standard deviation for chemist salaries in Florida stateis $945. A chemist that has worked in both states believes thatchemists in Washington make more than chemists in Florida. Atαα=0.05 is this chemist correct?
Let Washington be sample 1 and Florida be sample 2.
The correct hypotheses are:
- H0:μ1≤μ2H0:μ1≤μ2
HA:μ1>μ2HA:μ1>μ2(claim) - H0:μ1≥μ2H0:μ1≥μ2
HA:μ1<μ2HA:μ1<μ2(claim) - H0:μ1=μ2H0:μ1=μ2
HA:μ1≠μ2HA:μ1≠μ2(claim)
Since the level of significance is 0.05 the critical value is1.645
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 ofrural families is greater than that of urban families. To see ifhis claim is correct he randomly selects 45 families from a ruralarea and finds that they have an average income of $66299 with apopulation standard deviation of $668. He then selects 31 familiesfrom a urban area and finds that they have an average income of$67979 with a population standard deviation of $534. Perform ahypothesis test using a significance level of 0.01 to test hisclaim. Let rural families be sample 1 and urban familis be sample2.
The correct hypotheses are:
- H0:μ1≤μ2H0:μ1≤μ2
HA:μ1>μ2HA:μ1>μ2(claim) - H0:μ1≥μ2H0:μ1≥μ2
HA:μ1<μ2HA:μ1<μ2(claim) - H0:μ1=μ2H0:μ1=μ2
HA:μ1≠μ2HA:μ1≠μ2(claim)
Since the level of significance is 0.01 the critical value is2.326
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 ofrural families is greater than that of urban families. To see ifhis claim is correct he randomly selects 45 families from a ruralarea and finds that they have an average income of $66299 with apopulation standard deviation of $668. He then selects 31 familiesfrom a urban area and finds that they have an average income of$67979 with a population standard deviation of $534. Perform ahypothesis test using a significance level of 0.01 to test hisclaim. Let rural families be sample 1 and urban familis be sample2.
The correct hypotheses are:
- H0:μ1≤μ2H0:μ1≤μ2
HA:μ1>μ2HA:μ1>μ2(claim) - H0:μ1≥μ2H0:μ1≥μ2
HA:μ1<μ2HA:μ1<μ2(claim) - H0:μ1=μ2H0:μ1=μ2
HA:μ1≠μ2HA:μ1≠μ2(claim)
Since the level of significance is 0.01 the critical value is2.326
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)
