Question

Small Sample Mean Problem. A study was done to determine the effect of vitamin supplements for the mother on the birth weight of babies. The sample size was 17. All the women in the study regularly visited a doctor during their pregnancy. The data below show the summary statistics and a stem and leaf plot of the birth weight of the 17 babies. Weight is in kilograms (kg). 2 Mean Median Variance Std Dev Stem Leaf 47 2*154 302 22 39 43 3*|52 68 73 73 4109 13 33 37 4*|47 68 5 14 in kg, stem is whole number 247 is 2.47 3.761 3.730 0.531 0.729 19.380 CV Count 17 The average weight of all babies from women receiving regular care during pregnancy in the region of the study was 3.40 kg. (treat this as if it is the population value). If we conducted a hypothesis test to determine if the sample was different from the regional average of 3.40 with an alpha = .05, we would Fail to Reject the Null Hypothesis. True O False

Answer 1

The statistical software output for this problem is:

One sample T summary hypothesis test: u: Mean of population Ho : = 3.4 HA: 3.4 Hypothesis test results: Mean Sample Mean Std. Err. DF T-Stat 3.761 0.17680847 16 2.0417574 P-value 0.058

From above output:

p - Value is 0.058 which is greater than 0.05 so we do not reject the null hypothesis.

The answer is True.