orianacortes4913 orianacortes4913

05-05-2020
Mathematics

contestada

For a hypothesis test of H0 : μ = 8 vs. H0 : μ > 8, the sample mean of the data is computed to be 8.24. The population standard deviation is unknown; the sample standard deviation is computed, and its value is 0.29. These sample statistics are based on a sample size of 19. It is assumed that the underlying population is normally distributed. Which of the following would be the distribution of the test statistic in this scenario?a) The t-distribution with 8 degrees of freedomb) The standard normal distributionc) The t-distribution with 19 degrees of freedomd) The t-distribution with 18 degrees of freedom

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joaobezerra joaobezerra

11-05-2020

Answer:

d) The t-distribution with 18 degrees of freedom

Step-by-step explanation:

If we have the population standard deviation, we use the standard normal distribution.

Otherwise, if we only have the standard deviation for the sample, we use the t-distribution.

The number of degrees of freedom is the sample size subtracted by 1.

In this problem:

Sample size of 19, we have the standard deviation for the sample.

So the t-distribution will be used to solve this question, with 19-1 = 18 degrees of freedom.

So the correct answer is:

d) The t-distribution with 18 degrees of freedom

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