Chanda Wallace Ass. 1 + - Professor Martha Hunt PDF

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Professor Martha Hunt...

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Stats Assignment 1

a.

b. Party Democrat Republican Swing

Mean 0.90 0.84 0.90

Median 0.91 0.84 0.89

Q1 0.89 0.80 0.88

Q3 0.92 0.86 0.91

IQR 0.03 0.06 0.03

c. Based on the sample means; Democratic states have a higher percent of households with internet access for children's educational purposes because the democratic mean is 0.90, while the republican mean is 0.84. d. Based on the sample medians; Democratic states have a higher percent of households with internet access for children’s educational purposes because the Democratic median is 0.91, while the Republican median is 0.84. e. Republican states are more variable in terms of percent of households with internet and computer available, because if you look at the box plot, the Republican one has a lower limit of 0.76 and an upper limit of 0.94, which means the range is 0.18, while the Democratic box plot has a lower limit of 0.88 and an upper limit of 0.95, which means the range is 0.07.

f. The outlier is from the Democratic party and the state of New York. The value for this outlier is 0.81. The value of this outlier is 0.81, which is below the Democratic lower fence value of 0.845, which explains why 0.81 (New York) is an outlier. g. 3. Slightly skewed to the right because the mean < median h. Democratic: Q1 - 1.5(IQR), 0.89-1.5(0.03) = 0.845 Q3 + 1.5(IQR), 0.92 + 1.5(0.03) = 0.965 Republican: Q1 – 1.5(IQR), 0.80 - 1.5(0.06) = 0.71 Q3 + 1.5(IQR), 0.86 + 1.5(0.06) = 0.95 Party Democrat Republican I.

Lower Fence 0.845 0.71

Upper Fence 0.965 0.95

In order to be a low outlier for households with internet and computer available in Democratic states the value would have to be at most 0.844, because the lower fence for the Democratic states is 0.845....