c) In order to investigate the effect of gender on the birth weight of the baby, birth weight information of 56 babies was obtained by sampling according to the classification among the birth information cards of babies born in 2016.
baby boys baby girls
Sample mean (Ẋ) 3.250 kg 3.400 kg
Sample standard deviation (S) 0.400 0.500
Number of observations (n) 28 28
Since it is known that it fits the normal distribution in both distributions, is there any difference between these two groups in terms of gender? First write the hypothesis and test it at the error level of α= 0.05 and interpret the results.
Hypothesis:
H0: There is no difference between the birth weight of baby boys and baby girls.
Ha: There is a difference between the birth weight of baby boys and baby girls.
Test:
Using a two-tailed t-test, the calculated t-value is -1.937. With 28 degrees of freedom, the critical t-value at the 0.05 level of significance is 2.048. Since the calculated t-value is less than the critical t-value, we fail to reject the null hypothesis. This means that there is no statistically significant difference between the birth weight of baby boys and baby girls.