Question

11. Birth Weights Data Set 4 "Births" in Appendix B lists birth weights from babies born at Albany Medical Center, Bellevue Hospital in New York City, Olean General Hospital, and Strong Memorial Hospital in Rochester, New York. Use a 0.05 significance level to test the claim that the four different hospitals have different birth weights with different medians. Data Set 4: Births TI-83/84 list names FLOS, MLOS, FBwT, MBWT. FCHRG, MCHRG [Separate lists provided for female (F) and male (M) babies. No list for FACILITY, INSURANCE, ADMITTED, and Data are from 400 births (first five rows shown here). For GENDER 1 = male and 0 = female. LENGTH OF STAY is in days, BIRTH WEIGHT is in grams, and TOTAL CHARGES are in dollars DISCHARGED FACILITY INSURANCE GENDER (1=M) LENGTH OF STAY ADMITTED DISCHARGED BIRTH WEIGHT TOTAL CHARGES Albany Medical Center Hospital surnce Company FRI SUN 3500 13986 Albany Medical Center Hospital Blue Cross SUN 3900 3633 Albany Medical Center Hospital Blue Cross 36 WED THU 800 Insurance Company Albany Medical Center Hospital MON SAT 2800 8537 FRI SUN Insurance Company Albany Medical Center Hospital 3700 3633

Answer 1

From the information, observe that the birth weights from babies born at Albany medical center, Bellevue hospital and Olean General hospital and Strong Memorial hospital,

Consider Null and Alternative hypotheses,

Null hypothesis H0: The birth weights of the babies born from the four different hospitals have the same median.

Alternative hypothesis Ha: The birth weights of the babies born from the four different hospitals have the different medians.

The level of significance is 0.05

Use Excel to perform Kruskal-Wallis test as follows:

Step 1: insert the data into the spreadsheet.

Step 2: select the add-lns menu in the menu bar and then select the MegaStat option, after that select the Non-Parametric tests option and then select the Wilcoxon rank sum test then a dialog box will open.

Step 3: Enter the data range in the input range column and click on OK.

The Excel output as follows:

Kruskal-Wallis Test:

Median n Avg. Rank

3300.00 100 201.89 Group 1

3300.00 100 212.63 Group 2

3200.00 100 201.07 Group 3

3200.00 100 186.42 Group 4
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3300.00 400 Total
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2.608 H (corrected for ties)

3 d. f.

0.4560 p-value

From the output, observe that the p-value is 0.4560

Comapare the p-value with the level of significance.

Here, the p-value exceeds the level of significance then fail to reject the Null hypothesis.

Hence, conclude that H0: The birth weights of the babies born from the four different hospitals have the same median.