Identify each quantity as a parameter or a statistic

(a) μ (b)s (c)x¯ (d)σ

Short Answer

Expert verified

(a) μis parameter quantity.

(b) sis statistic quantity.

(c) xis statistic quantity.

(d) σis parameter quantity.

Step by step solution

01

Part(a) Step 1: Given Information

We are given quantityμ

We need to identify whether quantity is parameter or statistic

02

Part(a) Step 2: Explanation

A parameter is a number that describes the entire population characteristics .

A statistic is a number that describes characteristics of a sample.

Greek and capital letters typically refer to populations, but Latin and lower-case letters usually refer to samples.

From above definitions we can elaborate that

μis parameter quantity.

03

Part(b) Step 1: Given Information

We are given quantity s

We need to identify whether quantity is parameter or statistic

04

Part(b) Step 2: Explanation

A statistic is a number that describes characteristics of a sample.

Greek and capital letters typically refer to populations, but Latin and lower-case letters usually refer to samples.

From above definitions we can elaborate that

s is a statistic quantity.

05

Part(c) Step 1: Given Information

We are given quantity x¯

We need to identify whether quantity is parameter or statistic

06

Part(c) Step 2: Explanation

A statistic is a number that describes characteristics of a sample.

Greek and capital letters typically refer to populations, but Latin and lower-case letters usually refer to samples.

From above definitions we can elaborate that

x¯is a statistic quantity.

07

Part(d) Step 1: Given Information

We are given quantity σ

We need to identify whether quantity is parameter or statistic

08

Part(d) Step 2: Explanation

A parameter is a number that describes the entire population characteristics .

A statistic is a number that describes characteristics of a sample.

Greek and capital letters typically refer to populations, but Latin and lower-case letters usually refer to samples.

From above definitions we can elaborate that

σ is a parameter quantity.

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