A 16-fluid ounce bottle of juice costs $2.00. What is the unit cost?
2 answers:
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Answer:
The p-value is significantly low(<0.01), which means that the data provides convincing evidence that the true mean advertisement length is longer than 45 seconds.
Step-by-step explanation:
An online streaming service providing television programs claims that a 30-minute program will stream with advertisements that average 45 seconds. Test if the true mean advertisement length is longer than 45 seconds.
At the null hypothesis, we test if the mean time is of 45 seconds, that is:
At the alternate hypothesis, we test if the mean is more than 45 seconds, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
45 is tested at the null hypothesis:
This means that
They recorded the times of 21 randomly selected advertisements. The mean and standard deviation for these times are 46.67 and 2.78.
This means that
Value of the test-statistic:
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 46.67, which is a right-tailed test, with t = 2.75 and 21 - 1 = 20 degrees of freedom.
With the help of a calculator, this p-value is of 0.0062.
The p-value is significantly low(<0.01), which means that the data provides convincing evidence that the true mean advertisement length is longer than 45 seconds.
Answer: Barbara did not include a variable in the term , which must represents the number of bottles of iced tea she needs to sell.
Step-by-step explanation:
Let be "x" the number of bottle of water Barbara needs to sell and "y" the number of bottle of iced tea she needs to sell.
She sells iced tea for $1.49 per bottle and water for $1.25 per bottle, so she can write the following equation in order to calculate the number of bottles she needs to sell to earn $100:
Since Barbara wrote this equation:
We can conclude that the error Barbara made in writing the equation was: She did not include a variable in the term , which must represents the number of bottles of iced tea she needs to sell.