Question

Consider the numbers of community hospital beds per 1000 population that are available in each state in the United States and in the District of Columbia. The data for both 1980 and 1986 are on your disk in a data set called bed [18] (Appendix B, Table B.l3). The values for 1980 are saved under the variable name bed80; those for 1986 are saved under bed8 6. A second data set, called bed2, contains the same information in a different format. The numbers of beds per 1000 population for both calendar years are saved under the variable name bed, and an indicator of year under the name year. (a) Generate descriptive statistics for the numbers of hospital beds in each year. (b) Since there are two observations for each state-one for 1980 and one for 1986-the data are actually paired. A common error in analyzing this type of data is to ignore the pairing and assume that the samples are independent. Compare the mean number of community hospital beds per 1000 population in 1980 to the mean number of beds in 1986 using the two-sample t-test. What do you conclude? (c) Now compare the mean number of beds in 1980 to the mean number in 1986 using the paired t-test. (d) Comment on the differences between the two tests. Do you reach the same conclusion in each case? (e) Generate a 95% confidence interval for the true difference in the mean number of hospital beds in 1980 and 1986.

TABLE B.13 Data set bed; variables bed80, bed86, and state 4.7 4.2 4.4 4.0 3.8 3.5 4.5 4.3 4.84.6 4.5 4.211 4.4 4.013 5.7 5.015 5.0 4.735 4.64.037 5.95.739 3.6 4.4 41 3.1 2.943 3.1 2.7 45 3.1 3.047 3.6 3.149 3.1 2.6 51 3.93.3 4.4 4.3 3.5 3.1 4.23.9 4.74.4 10 5.1 4.512 4.94.514 5.7 5.216 7.47.218 6.05.920 3.63.422 7.37.724 5.5 5.126 3.9 3.4 28 5.1 4.430 5.5 5.332 5.3 5.234 4.8 4.536 4.7 3.838 3.73.340 4.2 3.542 3.63.144 4.2 3.746 3.5 3 48 2.72.450 5.5 6.519 5.8 5.021 3.6 3.323 4.1 3.725 4.2 3.527 4.6 4.3 29 4.5 4.4 31 5.1 5.033 2 4

Please use SPSS or by hand (no other statistical softwear) pleasee

Answer 1