Netflix: A study conducted by a technology company showed that the mean time spent per day browsing the video streaming service Netflix for something to watch was 19.9 minutes. Assume the standard deviation is =σ6. Suppose a simple random sample of 103 visits taken this year has a sample mean of =x20.9 minutes. A social scientist is interested to know whether the mean time browsing Netflix has increased. Use the =α0.01 level of significance and the P-value method with the TI-84 Plus calculator.Part 1 of 5(a) State the appropriate null and alternate hypotheses.H0: =μ19.9H1: >μ19.9This hypothesis test is a ▼right-tailed test.Part: 1 / 51 of 5 Parts CompletePart 2 of 5(b) Compute the value of the test statistic. Round the answer to two decimal places.z=
Question
Netflix: A study conducted by a technology company showed that the mean time spent per day browsing the video streaming service Netflix for something to watch was 19.9 minutes. Assume the standard deviation is =σ6. Suppose a simple random sample of 103 visits taken this year has a sample mean of =x20.9 minutes. A social scientist is interested to know whether the mean time browsing Netflix has increased. Use the =α0.01 level of significance and the P-value method with the TI-84 Plus calculator.Part 1 of 5(a) State the appropriate null and alternate hypotheses.H0: =μ19.9H1: >μ19.9This hypothesis test is a ▼right-tailed test.Part: 1 / 51 of 5 Parts CompletePart 2 of 5(b) Compute the value of the test statistic. Round the answer to two decimal places.z=
Solution
The null hypothesis (H0) is that the mean time spent browsing Netflix is equal to 19.9 minutes (μ=19.9). The alternative hypothesis (H1) is that the mean time spent browsing Netflix is greater than 19.9 minutes (μ>19.9). This is a right-tailed test.
To compute the value of the test statistic (z), we use the formula:
z = (x - μ) / (σ / √n)
where: x = sample mean = 20.9 minutes μ = population mean = 19.9 minutes σ = standard deviation = 6 minutes n = sample size = 103
Substituting the values into the formula, we get:
z = (20.9 - 19.9) / (6 / √103)
After calculating, round the answer to two decimal places.
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