Hi there! I'm using R script to answer these questions but I;m having some issues. Could you help please. Also, if you could provide me a copy of the R code generated that would be great, so that I can compare my results and see where I went wrong. Thank you
1. Consider a large population of families in which each family has exactly three
children. If the sexes of the three children in any family are independent of one
another, the number of male children in a randomly selected family will have a
binomial distribution based on three trials. In other words:
P ( N males x | n 3, p 0.5) p (1 p ) n x dbinom ( x, n, p ) x Suppose a random sample of 160 families yields the results shown in the table
below. Use the formula above to fill in the expected frequencies in the table. Test
the null hypothesis that this sample comes from a population exhibiting the
outcomes expected under a binomial distribution with an equally likely chance of
having a male or female child (i.e. p=0.5). Show all work for full credit.
Frequency 0 1 2 3 14 66 64 16 2. (50 points total) Purina has decided to explore alternative diet recipes used in the
making of its turkey chow in order to find a formulation that maximizes turkey
weight gain. Four different diet formulations were compared to a control
formulation Purina currently has on the market. Your job is to see if the
formulations differ significantly from one another and present your findings to
Purina executives. Use the data below to answer the following questions.
turkey = data.frame(
group = c(
weight = c(
a. Provide a dynamite plot that shows the mean weight gain by treatment group,
the 95% CI around each mean, and symbols that indicate the degree of
statistical similarity between treatment groups.
b. Use Scheffe?s method to test the following hypotheses (show all work for full
ii. control 1 diet1 diet2 diet3 diet4 4
2 diet1 diet2 1 diet3 diet4 2 c. One of the executives believes the assumptions required for the tests applied
above are not met and asks you to conduct a nonparametric test on these data
to further check if the group medians are statistically different from one another.
Conduct such a test, provide the results and state whether or not these results
are consistent with the findings derived above.
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