A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67).

Suppose that the teacher hypothesizes that the mean number of hours of sleep per day for high school students is 6 hours. They are testing whether the mean number of hours is greater than 6. Which of the following statements are true?

Group of answer choices

a. The researcher will fail to reject the null hypothesis at the 0.05 level.

b. More than one answer is true.

c. The p-value for the test statistic will be larger than 0.05.

d. The researcher will conclude that the mean number of hours appears to be different from 6.0 hours.

e. None of the above are true.