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Social ScienceWorking with the Concepts15. Is there a doctor in the house? The market research firmSalary.com reported that the mean annual earnings of all familypractitioners in the United States was $178,258. A randomsample of 55 family practitioners in Los Angeles that monthhad mean earnings of i $192,340 with a standard deviation of$42,387. Do the data provide sufficient evidence to concludethat the mean salary for family practitioners in Los Angeles isgreater than the national average?State the null and alternatehypotheses.b. Compute the value of the t statistic. How many degrees offreedom are there?c. State your conclusion. Use the a = 0.05 level ofsignificance.
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Working with the Concepts 15. Is there a doctor in the house? The market research firm Salary.com reported that the mean annual earnings of all family practitioners in the United States was $178,258. A random sample of 55 family practitioners in Los Angeles that month had mean earnings of i $192,340 with a standard deviation of $42,387. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles is greater than the national average? State the null and alternate hypotheses. b. Compute the value of the t statistic. How many degrees of freedom are there? c. State your conclusion. Use the a = 0.05 level of significance.
Expert Answer
a.
The null and alternate hypothesis:
Null hypothesis:
H0: µ = 178,258
There is no significant difference between the mean salary for family practitioners in Los Angels is equal to the national average.
Alternative hypothesis:
Ha: µ > 178,258
There is significant difference between the mean salary for family practitioners in Los Angels is equal to the national average.
b.
Test statistics:
Step-by-step procedure to obtain the boxplot using MINITAB software:
- Choose Stat > Basic Statistics > 1-Sample t.
- In Summarized data, enter the sample size 55 and mean 192,340 ...
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One-Sample T Test of mu = 178258 vs > 178258 95 % Lower StDev Bound N Mean SE Mean т 5715 55 192340 42387 182775 2.46 0.008
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