A confidence interval for a sample is given, followed by several hypotheses to test using that sample. In each case, use the con
1 answer:
Answer:
Step-by-step explanation:
Given is the results of a hypothesis testing for sample mean with population mean.
(Two tailed test at 1% significance level)
Reason:Two tailed because confidence interval is (100,136) with mean =118
Significance level = 100-confidence level
Given that confidence interval is (100,136)
i.e. we can be 99% confident that if samples for large sizes are drawn from this population will have mean within this interval
In this case sample mean 88 does not fall within this interval
Hence our null hypothesis has to be rejected
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Answer:
Do you want to be extremely boring?
Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?
is a valid solution.
Want something more fun? Why not a parabola? .
At this point you have three parameters to play with, and from the fact that we can already fix one of them, in particular
. At this point I would recommend picking an easy value for one of the two, let's say
(or even
, it will just flip everything upside down) and find out b accordingly:
Our function becomes
Notice that it works even by switching sign in the first two terms:
Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2:
Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need , and at that point the first condition is guaranteed; using the second to find k we get
Or how about a sine wave that oscillates around 2? with a similar reasoning you get
Sky is the limit.