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Write the null and alternative hypotheses. Identify which is the claim. A light bulb manufacturer claims...

Write the null and alternative hypotheses. Identify which is the claim. A light bulb manufacturer claims that the mean life of a certain type of light bulb is more thanmore than 725725 hours. Choose the correct null and alternative hypotheses below. A. Upper H 0H0​: muμgreater than>725725 Upper H Subscript aHa​: muμless than or equals≤725725 B. Upper H 0H0​: muμless than or equals≤725725 Upper H Subscript aHa​: muμgreater than>725725 C. Upper H 0H0​: muμgreater than or equals≥725725 Upper H Subscript aHa​: muμless than<725725 D. Upper H 0H0​: muμequals=725725 Upper H Subscript aHa​: muμnot equals≠725725 E. Upper H 0H0​: muμnot equals≠725725 Upper H Subscript aHa​: muμequals=725725 F. Upper H 0H0​: muμless than<725725 Upper H Subscript aHa​: muμgreater than or equals≥725

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Answer #1

Write the null and alternative hypotheses. Identify which is the claim.

The null and alternative hypotheses are given as below:

Null hypothesis: H0: The mean life of a certain type of light bulb is less than or equal to 725 hours.

Alternative hypothesis: Ha: The mean life of a certain type of light bulb is more than 725 hours.

H0: µ ≤ 725

Ha: µ > 725

Correct answer is B.

The claim is an alternative hypothesis; because alternative hypothesis explains that the mean life of a certain type of light bulb is more than 725 hours.

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