Question

A football league reported that the mean number of touchdowns per game was five. A study is done to determine if the mean number of touchdowns has decreased.

Indicate which of the following choices best identifies the hypothesis test.

a. Independent group means, population standard deviation and/or variances known

b. Independent group means, population standard deviation and/or variances unknown

c. Matched or paired samples.

d. Single mean

e. Two proportions.

f. Single proportion.

Short answer

The correct option is option (d)

Step-by-step solution

Given Information  

Given in the question that a football league reported that the mean number of touchdowns per game was five. A study is done to determine if the mean number of touchdowns has decreased. we have to determine the correct option.

Explanation 

According to the information, the mean number of touchdowns per game was five.

Only the single mean is included in the data.

The single mean (or one-sample) t-test compares a variable's mean in a sample of data to a (hypothesised) mean in the population from which our sample data were derived. This is significant because data for a whole population is rarely available.

Therefore option d is the correct answer.