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
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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