Answer:
1. Option A
2. Option D) Reject null hypothesis if z < –1.645
3. z = -4.90
4. P-value = 0.00001
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 7.2
Sample mean, = 6.5
Sample size, n = 49
Alpha, α = 0.05
Population standard deviation, σ = 1.0
a) First, we design the null and the alternate hypothesis
Option A) is the correct answer
We use one-tailed(left) z test to perform this hypothesis.
c) Formula:
Putting all the values, we have
b) Now,
Rejection rule:
If calculated z-statistic is less than the critical z-value, we reject the null hypothesis.
Option D) Reject null hypothesis if z < –1.645
d) Now, we calculate the p-value with the help of standard normal table.
P-value = 0.00001
Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it.We accept the alternate hypothesis.
We conclude that the college students watch fewer movies a month than high school students.