A random sample of 15 chemists from Washington state shows anaverage salary of $46613 with a standard deviation of $775. Arandom sample of 24 chemists from Florida state shows an averagesalary of $47757 with a standard deviation of $872. A chemist thathas worked in both states believes that chemists in Washington makea different amount than chemists in Florida. At ? ? =0.01 is thischemist correct? Let Washington be sample 1 and Florida be sample2. The correct hypotheses are: H 0 : ? 1 ? ? 2 H 0 : ? 1 ? ? 2 H A: ? 1 > ? 2 H A : ? 1 > ? 2 (claim) H 0 : ? 1 ? ? 2 H 0 : ? 1? ? 2 H A : ? 1 < ? 2 H A : ? 1 < ? 2 (claim) H 0 : ? 1 = ? 2H 0 : ? 1 = ? 2 H A : ? 1 ? ? 2 H A : ? 1 ? ? 2 (claim) Correct

Since the level of significance is 0.01 the critical value is2.736 and -2.736

The test statistic is: Incorrect(round to 3 places)

The p-value is: Incorrect(round to 3 places)

A custodian wishes to compare two competing floor waxes todecide which one is best. He believes that the mean of WaxWin isless than the mean of WaxCo.

In a random sample of 12 floors of WaxWin and 16 of WaxCo. WaxWinhad a mean lifetime of 25.5 with a standard deviation of 6.7 andWaxCo had a mean lifetime of 30.4 with a standard deviation of10.6. Perform a hypothesis test using a significance level of 0.05to help him decide.

Let WaxWin be sample 1 and WaxCo be sample 2

The correct hypotheses are:

• H0:?1??2H0:?1??2
  HA:?1>?2HA:?1>?2(claim)
• H0:?1??2H0:?1??2
  HA:?1
• H0:?1=?2H0:?1=?2
  HA:?1??2HA:?1??2(claim)

Since the level of significance is 0.05 the critical value is-1.707
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 20 families from a ruralarea and finds that they have an average income of $66691 with astandard deviation of $794. He then selects 12 families from aurban area and finds that they have an average income of $69126with a standard deviation of $978. Perform a hypothesis test usinga significance level of 0.01 to help him decide.

Let the rural families be sample 1 and the urban families be sample2.

The correct hypotheses are:

• H0:?1??2H0:?1??2
  HA:?1>?2HA:?1>?2(claim)
• H0:?1??2H0:?1??2
  HA:?1
• H0:?1=?2H0:?1=?2
  HA:?1??2HA:?1??2(claim)

Since the level of significance is 0.01 the critical value is2.532
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)