Question

The accompanying data table contains chest deceleration measurements​ (in g, where g is the force of​...

The accompanying data table contains chest deceleration measurements​ (in g, where g is the force of​ gravity) from samples of​ small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Complete parts​ (a) and​ (b) below.

 Small Midsize Large 44 39 37 54 39 44 42 36 53 43 42 52 49 41 32 45 41 38 37 38 33

SPSS Results

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

200.857

2

100.429

3.288

0.061

Within Groups

549.714

18

30.540

Total

750.571

20

a. What characteristic of the data specifically indicates that​ one-way analysis of variance should be​ used?

A. The measurements are categorized according to the one characteristic of size.

B. There are three samples of measurements.

C. The population means are approximately normal.

D. Nothing specifically indicates that​ one-way analysis of variance should be used.

b. If the objective is to test the claim that the three size categories have the same mean chest​ deceleration, why is the method referred to as analysis of​ variance?

A. The method is based on showing that the population variances are different.

B. The method is based on estimates of a common population variance

C. The method is based on showing that the population variances are similar.

D. The method is based on estimates of multiple varying population variance

(a)

What characteristic of the data specifically indicates that​ one-way analysis of variance should be​ used?

Actually,in one way analysis measurements are categorized according to the one characteristic of size.

According to the given options,the correct answer is option 'A'.

(b)

If the objective is to test the claim that the three size categories have the same mean chest​ deceleration, why is the method referred to as analysis of​ variance?

Common population variance method

According to the given options,the correct answer is option 'B'.

Earn Coins

Coins can be redeemed for fabulous gifts.