Determine the results of a hypothesis test are due to statistical significance or chance.

A school counselor claims that the average number of sleep students get each night is 6 hours. A researcher has taken a well-designed survey and his sample mean is 8.5 hours and sample standard deviation is 0.25. The sample size is 400.

Which statement is correct?

• a.)The result of the survey is statistically significant.
• b.)The difference exists due to chance since the test statistic is small.
• c.)The sample size should be much more.
• d.)The result of the survey is not statistically significant.