What property is shown 4/5 + (-4/5) =0
1 answer:
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Answer:
Step-by-step explanation:
The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.
Thus 35 - 9x becomes . We add a constant C for any possible constant that was eliminated during differentiation.
Answer:
We conclude that the mean amount packaged is equal to 8.17 ounces.
Step-by-step explanation:
We are given that in a particular sample of 50 packages, the mean amount dispensed is 8.171 ounces, with a sample standard deviation of 0.052 ounces.
Let = <u><em>population mean amount packaged.
</em></u>
So, Null Hypothesis, :
= 8.17 ounces {means that the mean amount packaged is equal to 8.17 ounces}
Alternate Hypothesis, :
8.17 ounces {means that the mean amount packaged is different from 8.17 ounces}
The test statistics that will be used here is <u>One-sample t-test statistics</u> because we don't know about the population standard deviation;
T.S. = ~
where, = sample mean amount dispensed = 8.171 ounces
s = sample standard deviation = 0.052 ounces
n = sample of packages = 50
So, <u><em>the test statistics</em></u> = ~
= 0.1359
The value of t-test statistics is 0.1359.
<u>Also, the P-value of test-statistics is given by;</u>
the meaning of the p-value is that the p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001 ounces away from8.17 if the null hypothesis is true.
P-value = P( > 0.136) = More than 40% {from the t-table}
Since the P-value of our test statistics is more than the level of significance of 0.01, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.
Therefore, we conclude that the mean amount packaged is equal to 8.17 ounces.