Q.2.158 - Elementary Statistics

Question

Class Project: Number of Siblings. This exercise is a class project and works best in relatively large classes.

a. Determine the number of siblings for each student in the class.

b. Obtain a relative-frequency histogram for the number of siblings. Use single-value grouping.

c. Obtain a simple random sample of about one-third of the students in the class.

d. Find the number of siblings for each student in the sample.

e. Obtain a relative-frequency histogram for the number of siblings for the sample. Use single-value grouping.

f. Repeat parts (c)-(c) three more times.

g. Compare the histograms for the samples to each other and to that for the entire population. Relate your observations to Key Fact $2.1$.

Step-by-Step Solution

Answer

(a) $0,1,1,1,0,2,2,0,4,1,0,2,1,1,1,2,1,0,0,1$

(b) 

(c) $15,1,12,9,11,7$

(d) $1,0,2,4,0,2$

(e) 

(f) Choose alternative rows and columns in the random number table 

(g) All distributions will be comparable to the population distribution, which is depicted in part (b).

Part (a) Step 1: Concept introduction

A histogram is a contains a large amount of statistical data allocation. Karl Pearson was the first to originate the expression. To generate a bitmap, partition the number of scenarios into sections and tally number of times information goes into both zone.

Part (a) Step 1: Explanation

Some people will have no siblings, while others will have one or two siblings. Only a few people have more than two siblings. As a result, the conceivable outcome for $20$ students is:

$0,1,1,1,0,2,2,0,4,1,0,2,1,1,1,2,1,0,0,1$

Part (b) Step 1: Concept introduction

A histogram is a contains a large amount of statistical data allocation. Karl Pearson was the first to originate the expression. To generate a bitmap, partition the number of scenarios into sections and tally number of times information goes into both zone.

Part (b) Step 2: Explanation

The frequency distribution is shown as

The frequency histogram is 

Part (c) Step 1: Concept introduction

A histogram is a contains a large amount of statistical data allocation. Karl Pearson was the first to originate the expression. To generate a bitmap, partition the number of scenarios into sections and tally number of times information goes into both zone.

Part (c) Step 2: Explanation

Six students make up one-third of a class of twenty. Let's take a random selection from the table above

$15,1,12,9,11,7$

Part (d) Step 1: Concept introduction

A histogram is a contains a large amount of statistical data allocation. Karl Pearson was the first to originate the expression. To generate a bitmap, partition the number of scenarios into sections and tally number of times information goes into both zone.

Part (d) Step 2: Explanation

The number of siblings for each student is 

$1,0,2,4,0,2$

Part (e) Step 1: Concept introduction

A histogram is a contains a large amount of statistical data allocation. Karl Pearson was the first to originate the expression. To generate a bitmap, partition the number of scenarios into sections and tally number of times information goes into both zone.

Part (e) Step 2: Explanation

The frequency distribution is shown as

The respective frequency histogram is 

Part (f) Step 1: Concept introduction

A histogram is a contains a large amount of statistical data allocation. Karl Pearson was the first to originate the expression. To generate a bitmap, partition the number of scenarios into sections and tally number of times information goes into both zone.

Part (e) Step 2: Explanation

Choose alternative rows and columns in the random number table, then repeat the technique stated in part (c) to arrive at the desired result (e).

Part (g) Step 1: Concept introduction

A histogram is a contains a large amount of statistical data allocation. Karl Pearson was the first to originate the expression. To generate a bitmap, partition the number of scenarios into sections and tally number of times information goes into both zone.

Part (g) Step 2: Explanation

All distributions will be comparable to the population distribution, which is depicted in part (b).