INFERENTIAL STATISTICS CASE OF SUN COAST COMPANY 26 The scale of measure for

# Inferential statistics case of sun coast company 26

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INFERENTIAL STATISTICS: CASE OF SUN COAST COMPANY 26 The scale of measure for all the data variables are ratio. This is because all the difference in value is significant as well as the ratio. T-test for two comparing training results The hypothesis for this test is; H0: µ1 = µ2 Ha: µ1 ≠ µ2 t-Test: Two-Sample Assuming Unequal Variances Group A Prior Training Scores Group B Revised Training Scores Mean 69.79032258 84.77419355 Variance 122.004495 26.96456901 Observations 62 62 Hypothesized Mean Difference 0 Df 87 t Stat -9.666557191 P(T<=t) one-tail 9.69914E-16 t Critical one-tail 1.662557349 P(T<=t) two-tail 1.93983E-15 t Critical two-tail 1.987608282 T-test for difference in mean The average result for training A is 69.79, while that for B is 84.77, the critical value for two-tailed, 1.9876 is greater than the p-value for two-tailed = 1.93983E-15, this implies that there is significant difference in mean for the two samples. The p-value is also smaller than the level of significance α = 0.05, thus we reject H0 and conclude that the population mean for the training outcomes is significantly different. The revised training is superior. The two samples were drawn from normally distributed populations as indicated by the shapes of the histograms. The sample size is also large enough to be used for test since there are 62 pairs of observations. The scale of measurement for the data is ratio since they are training results. The data were drawn using random sampling technique as the run tests indicate randomness. Thus the test is valid since the assumptions are met (Xue, & Titterington, 2011).
INFERENTIAL STATISTICS: CASE OF SUN COAST COMPANY 27 Group A Prior Training Scores 50 55 60 65 70 75 80 85 90 95 Frequency 4 5 3 11 9 10 11 3 5 1 Frequency Distributions for Group A training results Group B Revised 74 76 78 80 82 84 86 88 90 92 94 96 98 Frequency 0 4 3 7 6 9 11 7 7 4 1 2 1 Frequency Distributions for Group B training results 0 5 10 15 Group A Frequency Group B Revised Training Scores Frequency 0 5 10 15 Group B Frequency Group A Prior Training Scores Frequency Histogram representation for both variables Group A Prior Training Group B Revised Training Mean 69.79032258 Mean 84.77419355 Standard Error 1.402788093 Standard Error 0.659478888 Median 70 Median 85 Mode 80 Mode 85 Standard Deviation 11.04556449 Standard Deviation 5.192741955 Sample Variance 122.004495 Sample Variance 26.96456901 Kurtosis -0.77667598 Kurtosis - Skewness - Skewness 0.144084526
INFERENTIAL STATISTICS: CASE OF SUN COAST COMPANY 28 Range 41 Range 22 Minimum 50 Minimum 75 Maximum 91 Maximum 97 Sum 4327 Sum 5256 Count 62 Count 62 Confidence Level (95.0%) 2.805048156 Confidence Level (95.0%) 1.318709538 Descriptive statistics for the variables Measures of central Tendency The mean mode and media for both variables indicate a slight variations and thus indicating that the population from which the data was draw follow a normal distribution. This can also be observed from the shapes of the histograms. The histograms are bell shaped.