Question

Consider the following hypotheses: Ho: mean= 92 Hi: mean - 92 A test is performed with a sample of size 576. The sample mean was 85.11 and the population standard deviation is 72. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value. Round your answer to four decimal places (for example: 0.0138). Write only a number as your answer. Your Answer: Answer Question 10 (0.75 points) A study showed that in a certain month, the mean time spent per visit to Facebook was 19.5 minutes. Assume the standard deviation of the population is 8 minutes. Suppose that a simple random sample of 100 visits in that month has a sample mean of 21.38 minutes. A social scientist is interested in knowing whether the mean time of Facebook visits has increased. Perform the hypothesis test and compute the value. Write down your P-value. You will need it for the next question. Round your answer to four decimal places (for example: 0.2305). Write only a number as your answer. Your Answer: Answer

Answer 1

#9.
Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (85.11 - 92)/(72/sqrt(576))
z = -2.3

P-value Approach
P-value = 0.0214

#10.

Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (21.38 - 19.5)/(8/sqrt(100))
z = 2.35

P-value Approach
P-value = 0.0094