## Lucy is using a one-sample t ‑test based on a simple random sample of size n = 22 to test the null hypothesis H 0 : μ = 16.000 cm against th

Question

Lucy is using a one-sample t ‑test based on a simple random sample of size n = 22 to test the null hypothesis H 0 : μ = 16.000 cm against the alternative H 1 : μ < 16.000 cm. The sample has mean ¯¯¯ x = 16.218 cm and standard deviation is s = 0.764 cm. Determine the value of the t ‑statistic for this test. Give your answer to three decimal places.

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2021-10-26T11:16:06+00:00
2021-10-26T11:16:06+00:00 1 Answer
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## Answers ( )

Answer:The value of test statistic is 1.338

Step-by-step explanation:We are

given the followingin the question:Population mean, μ = 16.000

Sample mean, = 16.218

Sample size, n = 22

Alpha, α = 0.05

Sample standard deviation, s = 0.764

First, we design the

null and the alternate hypothesis

We use one-tailed t test to perform this hypothesis.

Formula:

Putting all the values, we have

Thus, the value of test statistic is 1.338