Question 5 Buying a year's worth of textbooks for college can be expensive! Consider a large population of college students for whom the distribution of the annual cost of textbooks is slightly skewed to the left. Here is the five-number summary for the annual cost of textbooks for this population: Minimum 80 Quartile 1 215 Median 335 Quartile 3380 Maximum 440 Suppose we take random samples of size 32 from this population and calculate the interquartile range (IQR) for each of our samples. Below is a dotplot of the IQR from 50 such samples. 60 80 100 120 140 160 180 200 220 240 280 Sample IQR A) Briefly explain what the dot at 240 represents. (3 points) B) Is the sample IQR is an unbiased estimator of the population IQR? Justify your answer.(5 points)

The dot plot shows the sample distribution of interquartile range, hence, all the points on the plot represents the interquartile range for 50 different samples.

Hence, the dot at 240 represent the interquartile range value of one of the 50 sample distributions.

B.)

According to the sampling distribution chart, the graph form a bell shaped curve and loos fairly symmetric, hence we could conclude thatvthe mean IQR of the sampling distribution is about 165.

Since population IQR is also 165 ; we can conclude that sampling distribution OF IQR is an unbiased estimator of population IQR.

lhmarianateixeira lhmarianateixeira · Answer 2 · 2022-01-18T14:42:37+01:00

In this exercise we have to use the knowledge of statistics to estimate a population, in this way we can say that:

A)At 240 show the interquartile range worth of individual of the 50 sample distributions.

B)Since inhabitants of a place IQR is in addition to 165 ; we can decide that sampling classification OF IQR exist an unbiased estimator of inhabitants of a place IQR.

Given the data :

Minimum: 80

Quartile 1 (Q): 215

Median: 335

Quartile 3 (Q3): 380

Maximum: 440

Population IQR: 165

A) So by setting our first stat point at 240, we can say that:

The dot plot shows the sample allocation of interquartile range, therefore, all the points in contact the plot show the interquartile range for 50 various samples.

B)According to the try classification chart, the graph form a signaling object or sound form curve and loos justly symmetric, therefore we preserve fruit decide that the mean IQR of the taste distribution exist about 165.

See more about statistics at brainly.com/question/10951564