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s the Arctic warms and winters become shorter, hibernation patterns of arctic ma

ID: 3067686 • Letter: S

Question

s the Arctic warms and winters become shorter, hibernation patterns of arctic mammal are expected to change. Sheriff et al. (201 investigated emergence dates from hiber of arctic ground squirrels at sites in the Brooks Range of northern Alaska. The measurements shown in the following figure are emergence dates in a sample of male and female ground squirrels at one of their study sites. 1.0 24. A 0.8 Males Females 2 0.6 es 0.4 27. 0.0 ith he m- 26 31 March 5 10 15 20 25 30 April Date of emergence V. a. What type of graph is this? b. Which sex, males or females, has the earie median emergence date? Explain how you c. Which sex, male or female, has the greater interquartile range in emergence date Explain how you obtained your answer a. obtained your answer TABLE

Explanation / Answer

(a)

The graph indicates the cumulative distribution graph.

Cumulative distribution function:

The PMF is one approach to portray the dissemination of a discrete arbitrary variable. As we will see later on, PMF can't be characterized for consistent arbitrary factors. The combined conveyance work (CDF) of an arbitrary variable is another technique to portray the dispersion of irregular factors. The benefit of the CDF is that it veryth well may be characterized for any sort of arbitrary variable (discrete, ceaseless, and blended).

The aggregate conveyance work (CDF) of irregular variable X is characterized as

FX(x)=P(Xx), for all xR.

Note that X shows this is the CDF of the arbitrary variable X. Additionally, take note of that the CDF is characterized for all xR.

(b)

Females have the most punctual middle crisis date. since the females have the date of emergency crisis began earlier.
(c)

Males have the more prominent interquartile extend. since their date of crisis began around 1st April and ends by 30th April.