Rick the receptionist claims that he types an average of 70 words per minute. In

Question

Rick the receptionist claims that he types an average of 70 words per minute. In order to test this, Rick's boss gives him 15 different one minute typing challenges throughout the day. On each challenge, Rick's boss records the number of words typed. The boss calculates the sample mean to be 67 words per minute and the sample standard deviation to be 16 words per minute. He calculates a test statistic for the following hypothesis test: H_0: mu = 70 H_a: mu notequalto 70 Assuming the null hypothesis is true, this test statistic will follow: the t distribution with 15 degrees of freedom the t distribution with 16 degrees of freedom the standard normal distribution the t distribution with 14 degrees of freedom

Explanation / Answer

Here sample sizwe is 15 which is very small( n<30)

Therefore, use t distribution with degrees of freedom n-1 = 15 - 1 = 14

Answer: the t distribution with 14 degrees of freedom.

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