Calculate the degrees of freedom

Assignment Help Applied Statistics

Reference no: EM131430994

Q1. Create this dataset (countrydata) by coping and pasting the following into R:

nation <- c("Angola","Argentina","Belize","Burundi","Chad","Cote

d'Ivoire","Cyprus","Guatemala","India","Kenya","South

Korea","Lebanon","Malaysia","Romania","Sierra

Leone","Suriname","Swaziland","Thailand","United States","Zambia")

womenparliament <- c(16,34,3,18,6,9,11,8,8,7,13,2,9,11,15,18,11,9,14,12)

militarygdp <- c(4,1,1,7,1,2,2,1,3,2,2,5,2,2,2,1,2,1,4,2)

femalerep <- NA

femalerep[womenparliament < 10] <- "Low"

femalerep[womenparliament > 10] <- "High"

femalerep <- as.factor(femalerep)

countrydata <- data.frame(nation,womenparliament,militarygdp,femalerep)

Q2. Use the following data to conduct a difference of means test:

Female representation	Number of observation	Mean Military GDP	SD Military GDP
Low	9	2.00	1.32
High	11	2.64	1.75
Combined	20	2.35	1.57

(a) Calculate the t-statistic.

(b) Calculate the degrees of freedom.

Q3. Use the following covariance table to conduct a correlation coefficient test:

(n = 20)	womenparliament	militarygdp
womenparliament	46.75
militarygdp	0.22	2.45

(a) Calculate the correlation coefficient (r) between womenparliament and militarygdp.

(b) Calculate the t-statistic for r.

Reference no: EM131430994

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