Mario builds a triangular table to fit in the corner of his rectangular bedroom. Is it possible to construct more than one table
1 answer:
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Answer:
d. y ˆ =269,000−8300x
Step-by-step explanation:
If the regression describes the amount of dollars left after a single donation as a function of time, the regression must consist of a positive lump sum subtracted by an yearly rate. This rules out alternatives a, c, and e.
Since this equation must represent the amount left after 10 years, it must yield a positive value up to at least x = 10.
For equation b., when x = 10:
For equation d., when x = 10:
Therefore, the only possible answer is d. y ˆ =269,000−8300x
<u>Answer-</u>
2 is the upper limit for the zeros.
<u>Solution-</u>
The given function f(x) is,
For calculating the zeros,
From all the 4 roots, it can be obtained that 2 is the greatest zero.
Answer:
The p value obtained and using the significance level assumed we have
so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.
Step-by-step explanation:
1) Data given and notation n
n=100 represent the random sample taken
X=96 represent the laptop's arrived with fully charged batteries.
estimated proportion of laptop's arrived with fully charged batteries.
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 the new model’s rate is at least as high as the previous model.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, 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
P value method or p value approach . "This method consists on 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 significance level is not provided, but we can assume . The next step would be calculate the p value for this test.
Since is a one side test the p value would be:
So based on the p value obtained and using the significance level assumed we have
so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.