A ball is dropped off an office building that is 790 feet tall. Apply the function h(t)=-16t^2, where h(t) is the height of the
1 answer:
Answer:
Step-by-step explanation:
This models the parabolic function
,
where h(t) is the height after the motion occurs, is the initial upwards velocity, and
is the initial height from which the object was launched or dropped. Because we do not have any upwards velocity when an object is dropped straight down, it is only affected by gravity. Our function for this situation is
To find when the object hits the ground, replace the h(t) with a 0, since the height of something when it hits the ground has no height at all. Factor the quadratic for t, time.
and
By the Zero Product Property, either
-16 = 0 or
Since -16 definitely does not equal 0, then
and
Taking the square root of both sides and only allowing for the principle (positive) root since time will never be negative, then
and
t = 7.03 seconds
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Answer:
So the p value obtained was a very low value and using the significance level assumed for example we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of circuits that show evidence of undercutting is significantly less than 0.05.
Step-by-step explanation:
1) Data given and notation
n=1000 represent the random sample taken
X=33 represent the number of circuits that show evidence of undercutting
estimated proportion of circuits that show evidence of undercutting
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that they reduce the rate of undercutting to less than 5%.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
So the p value obtained was a very low value and using the significance level assumed for example we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of circuits that show evidence of undercutting is significantly less than 0.05.