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 59 family practitioners in Los Angeles had mean earnings of x $191,350 with a standard deviation of $42,897. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles differs from the national average? Use the a= 0.01 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. (c) State a conclusion. Use the a=0.01 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 59 family practitioners in
Los Angeles had mean earnings of x $191,350 with a standard deviation of $42,897 . Do the data
provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles
differs from the national average? Use the a=0.01 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.
alo
(c) State a conclusion. Use the a=0.01 level of significance.
Part 1 of 5
(a) State the appropriate null and alternate hypotheses.
Ho: H= 178,258
H1: H 178,258
This hypothesis test is a two-tailed
V test.
Part 2 of 5
Find the critical value(s). Round the answer(s) to three decimal places. If there is more than one
critical value, separate them with commas.
Critical value(s): ±2.663
Part: 2 /5
Part 3 of 5
(b) Compute the value of the test statistic. Round the answer to three decimal places.
Transcribed Image Text: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 59 family practitioners in Los Angeles had mean earnings of x $191,350 with a standard deviation of $42,897 . Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles differs from the national average? Use the a=0.01 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. alo (c) State a conclusion. Use the a=0.01 level of significance. Part 1 of 5 (a) State the appropriate null and alternate hypotheses. Ho: H= 178,258 H1: H 178,258 This hypothesis test is a two-tailed V test. Part 2 of 5 Find the critical value(s). Round the answer(s) to three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): ±2.663 Part: 2 /5 Part 3 of 5 (b) Compute the value of the test statistic. Round the answer to three decimal places.
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