Question

The life time of electric bulbs for a random sample of 10 from a large consignment gave the following data: 4.2, 4.6, 3.9, 4.1, 5.2, 3.8, 3.9, 4.3, 4.4, 5.6 (in ‘000 hours). Can we accept the hypothesis that the average life time of bulbs is 4, 000 hours.

Answer 1

Yes, the hypothesis can be accepted that the average lifetime of bulbs is 4000 hours.

Step-by-step explanation:

Hypothesis:

The average lifetime of each bulb is 4000 hours.

Hypothesis testing:

Given that,

S. No    Lifetime(in 1000 hours)

1             4.2

2            4.6

3            3.9

4            4.1

5            5.2

6            3.8

7             3.9

8            4.3

9            4.4

10           5.6

To prove:

Mean/Average = sum of the observations/number of observations

= (4.2 + 4.6 + 3.9 +  4.1 + 5.2 + 3.8 +  3.9 +  4.3 +  4.4 +  5.6)/10

= 44/10

= 4.4

Hence proved that the average lifetime of each bulb is 4400 hours i.e. near to 4000 hours.

Thus, the hypothesis can be accepted.

Learn more: Hypothesis

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