"A movie data base claims that the average length of movies is 117 minutes. A researcher collected a random sample of 160 movies
1 answer:
Answer:
We need to conduct a hypothesis in order to check if the mean the actual mean length of movies released during 2010-2015 is more than the data base value (a;ternative hypothesis) ,so then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean the actual mean length of movies released during 2010-2015 is more than the data base value (a;ternative hypothesis) ,so then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
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<h2>Answer:</h2>
We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:
Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:
Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:
Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:
Step 4: solve for z, then for y, then for x:
By substituting into the first equation, we get the
. So: