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) Leaf Stem Mean 3.761 2 47 2* 54 3 02 22 39 43 3* 52 68 73 73 4 09 13 33 37 4* 47 68 5 14 in kg, stem is whole number 2147 is 2.47 Median 3.730 0.531 Variance Std Dev 0.729 CV 19.380 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). You are asked to conduct a test to see if the sample mean from the mothers given vitamin supplements is higher than the regional average of 3.40. Use alpha = .05. This is a two-tailed test. True False

Answer 1

Solution :

Given that,

This is the right tailed test

The null and alternative hypothesis is

H₀ : $\mu$ = 3.40

H_a : $\mu$ > 3. 40

Answer : False