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Sampling, Inference & the t-Test · Question 56 of 70

What is the null hypothesis for testing the bulb maker's claim?

Question 56

EasyOriginal question

A bulb maker claims its bulbs last 1,000 hours on average. A sample of 16 bulbs lasts a mean of 960 hours with standard deviation 80 hours. At the 5% level, the two-tailed critical value of tt for 15 degrees of freedom is 2.131.

What is the null hypothesis for testing the bulb maker's claim?

Options for question 56

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The null hypothesis states the claimed value of the population mean.

  2. H0:μ=1,000H_0: \mu = 1{,}000 hours.

Worth noting

A hypothesis is about the population mean μ\mu, never the sample mean, which is already known.

Concept
Writing the null hypothesis
Typical time
90 s
Your time
—
The rule this testsThe one-sample t-test
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