A manufacturer of light bulbs is considerering a change in their suplier of tung

Question

A manufacturer of light bulbs is considerering a change in their suplier of tungsten for use in the bulbs' filaments. They believe this will result in bulbs that are "longer lasting". Currently, the lifetime, X, of their bulbs is a normally distributed random variable with population mean =750 hours. After using tungsten from the new supplier for a production run, a random sample of 25 bulbs will be selected and the average lifetime of the bulbs will be computed. This result will be used to carry out a hypothesis test to determine if there is sufficient evidence to conclude that the population mean lifetime of bulbs using this supplier is greater than 750 hours. the results of the sample showed an average lifetime of 753.3 hours with a sample standard deviation of 7.5hours. Which of the following statements is true? (Chooe the most appropriate response)

(a) the null hypothesis should be rejected for a level of significance of =0.1

(b)the p-value of the test is less than .025

(c)the p-value of the test is greater than .05

(d)the null hypothesis should not be rejected for a level of significance of =.05

(e) both statements (c) and (d) are ture

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 750
HA : > 750

Hypothesis test results:

Hence,

The p - value of the test is less than 0.025

Option B is correct.

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