Step by step using a TI 84 calculator

The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of135minutes with a standard deviation of45minutes. At?= 0.01

level, is the student academic group's claim correct?

Note: If you are using a Student'st-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

• Part (a)
• State the null hypothesis.
• H₀:
• ?150
• H₀:
• ?150
• H₀:
• ?< 150
• H₀:
• ?150
• State the alternative hypothesis.
• H_a:
• ?>150
• H_a:
• ?<150
• H_a:
• ?= 150
• H_a:
• ?150
• Part (b)
• State thep-value. (Round your answer to four decimal places.)
• Part (c)
• State alpha. (Enter an exact number as an integer, fraction, or decimal.)
• Part (d)
• What is your decision?
• reject the null hypothesis
• do not reject the null hypothesis
• Part (e)
• Write a conclusion.
• There is sufficient evidence to conclude that mean study time for freshman students is less than 150 minutes.
• There is not sufficient evidence to conclude that mean mean study time for freshman students is less than 150 minutes.
• Part (f)
• At?= 0.01
• level, is the student academic group's claim correct?
• The student group's claim appears to be correct.
• The student group's claim does not appear to be correct.