If there is no seasonal effect on human births, one would expect equal numbers o
ID: 3319175 • Letter: I
Question
If there is no seasonal effect on human births, one would expect equal numbers of children to be born in each season (winter, spring, summer, and fall). A student takes a census of her statstics class and finds that of the 120 students in the class, 26 were borm in winder, 35 in spring, 31 in summer, and 28 in tall. She wonders if the expess in the spring is an indication that births are not uniform throughout the year Complebe parts a) through e) below. a) If there is no seasonal effect, about how big, on average, woukd one et thestatistic to be (what is the mean of thedistribution)? b) Cal ulating the X2-Statistic for these courts results in 2 1 533. Does this statistic seem large in comparison to this mean? Explain briefly Choose the correct answer below. O A No, its smaller than the mean. O B. Yes, it's about five times the mean O C. No, its just barely larger than the mean D. Yes, it's about twice the mean. c) What does the part b) result say about the nuil hypothesis? O A Hsays there is not enough evidence to reject the null hypothesis that births are distributed uniformly across the seasons. O B. It says there is enough evidence to confim the ull hypothesis that births are distributed uniformly across the seasons. C It says there is enough evidence to reject the null hypothesis that births are distributed uniformly across the seasons. O D. There is not enough information provided to form any sort of conclusion about the nul hypothesis. d)Find the ·0.10critical value for tex® istribution wth the appropriate number of dt. (Round to three decimal places as needed.)Explanation / Answer
a) mean =degree of freedom =categoeis -1=4-1=3
b)option A is correct
c)option A is correct
d)critical value =6.251
d)
option D