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Births by Day of Week An obstetrician knew that there were
Chapter 1, Problem 16AYU(choose chapter or problem)
Problem 16AYU
Births by Day of Week
An obstetrician knew that there were more live births during the week than on weekends. She wanted to determine whether the mean number of births was the same for each of the five days of the week. She randomly selected eight dates for each of the five days of the week and obtained the following data:
(a) Write the null and alternative hypotheses.
(b) State the requirements that must be satisfied to use the oneway ANOVA procedure.
(c) Use the following MINITAB output to test the hypothesis of equal means at the α = 0.01 level of significance.
(d) Shown are side-by-side boxplots for each weekday. Do these boxplots support the results obtained in part (c)?
Questions & Answers
QUESTION:
Problem 16AYU
Births by Day of Week
An obstetrician knew that there were more live births during the week than on weekends. She wanted to determine whether the mean number of births was the same for each of the five days of the week. She randomly selected eight dates for each of the five days of the week and obtained the following data:
(a) Write the null and alternative hypotheses.
(b) State the requirements that must be satisfied to use the oneway ANOVA procedure.
(c) Use the following MINITAB output to test the hypothesis of equal means at the α = 0.01 level of significance.
(d) Shown are side-by-side boxplots for each weekday. Do these boxplots support the results obtained in part (c)?
ANSWER:
Problem 16AYU
Answer:
Step1:
a). Consider the null and alternative hypotheses are
: mean no. of births was the same for each of the five days of the week
: mean no. of births was the not same for each of the five days of the week.
With = 0.01 level of significance
b).The requirements that must be satisfied to use the oneway ANOVA procedure:
1).There must be k simple random samples, one from each of k populations or a randomized experiment with k treatments.
2).The k samples must be independent of each other
3).The populations must be normally distributed.
4).The populations must have the same variance