Question

A random sample of 17 chemists from Washington state shows an average salary of $43209 with a standard deviation of $832. A random sample of 15 chemists from Florida state shows an average salary of $49207 with a standard deviation of $809. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At αα =0.10 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 0.10 the critical value is 1.698 and -1.698

The test statistic is: (round to 3 places)

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

The decision can be made to:

• reject H0H0
• do not reject H0H0

The final conclusion is that:

• There is enough evidence to reject the claim that chemists in Washington make a different amount than chemists in Florida.
• There is not enough evidence to reject the claim that chemists in Washington make a different amount than chemists in Florida.
• There is enough evidence to support the claim that chemists in Washington make a different amount than chemists in Florida.
• There is not enough evidence to support the claim that chemists in Washington make a different amount than chemists in Florida.

Answer 1

t test hypothesis for difference of means.