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kati45 [8]
2 years ago
9

Use <, >, or = to compare the following decimals.

Mathematics
1 answer:
Alina [70]2 years ago
8 0

Answer:

A) is <

b) is =

c) is <

Step-by-step explanation:

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The power takeoff driveline on tractors used in agriculture is a potentially serious hazard to operators of farm equipment. The
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(a) Both populations are Normally distributed.

Step-by-step explanation:

Hello!

There are two types of shields in older tractors, bolt-on shield, and flip-up shield. The researcher wants to study the proportion of older tractors whose shields were removed. For these two random samples where taken, one of older tractors with bolt-on shields and the other one of older tractors with flip-up shields, the number of tractors whose shields were removed was recorded in both groups.

Sample 1: bolt-on

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pb'= 35/183= 0.19

Sample 2: flip-up

nf= 136

xf= 15 with removed shields

pf'= 15/136= 0.11

Statistic hypotheses:

H₀: pb=pf

H₁: pb≠pf

(a) Both populations are Normally distributed. d) The counts of successes and failures are large enough to use Normal calculations.

The populations are not normal, these are two binomial populations.

To be able to use the normal calculations the following conditions should be met:

Population 1

n₁≥30 ⇒ nb= 183

n₁*p₁'≥5 ⇒ nb*pb'= 183*0.19= 34.77

n₁*(1-p₁')≥5 ⇒ nb*(1-pb')= 183*(1-0.19)= 148.23

Population 2

n₂≥30 ⇒ nf= 136

n₂*p₂'≥5 ⇒ nf*pf'= 136*0.11= 14.96

n₂*(1-p₂')≥5 ⇒ nf*(1-pf')= 136*(1-0.11)= 121.04

(b) The data come from two independent samples (c) Both samples were chosen at random.

Both conditions are met, the samples are randomly selected, the randomization included in the sampling method guarantees the independence between the samples.

(e) Both populations are at least 10 times the corresponding sample sizes

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