Is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in theUnited States was $178,258. A random sample of 52 family practitioners in Los Angeles had mean earnings of x$193,130 witha standard deviation of $42,047. Do the data provide sufficient evidence to conclude that the mean salary for family practitionersin Los Angeles is greater than the national average? Use the a 0.10 level of significance and the critical value method with thetable.(a) State the appropriate null and alternate hypotheses.(b) Compute the value of the test statistic.ola(c) State a conclusion. Use the a= 0.10 level of significance.

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Asked Nov 4, 2019
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Is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in the
United States was $178,258. A random sample of 52 family practitioners in Los Angeles had mean earnings of x$193,130 with
a standard deviation of $42,047. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners
in Los Angeles is greater than the national average? Use the a 0.10 level of significance and the critical value method with the
table.
(a) State the appropriate null and alternate hypotheses.
(b) Compute the value of the test statistic.
ola
(c) State a conclusion. Use the a
= 0.10 level of significance.
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Is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in the United States was $178,258. A random sample of 52 family practitioners in Los Angeles had mean earnings of x$193,130 with a standard deviation of $42,047. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles is greater than the national average? Use the a 0.10 level of significance and the critical value method with the table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. ola (c) State a conclusion. Use the a = 0.10 level of significance.

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Expert Answer

Step 1

a)

 

From the given information, the claim of the problem is testing whether the mean salary for family practitioners in Los Angeles is greater than the national average or not. The national average is $178,258.

 

Null Hypothesis:

 

H0: µ≤178,258.

 

That is, there is no sufficient evidence that  the mean salary for family practitioners in Los Angeles is greater than the national average.

 

Alternative Hypothesis:

 

Ha: µ>178,258.

 

That is, there is a sufficient evidence that  the mean salary for family practitioners in Los Angeles is greater than the national average.

Step 2

b)

 

The value of test statistic is 2.5506 and it is obtained below:

 

From the given information, the sampl...

t score
193,130-178,258
42,047
52
2.5506
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t score 193,130-178,258 42,047 52 2.5506

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