The breaking strengths of cables produced by a certain manufacturer have a mean, , of pounds, and a standard deviation of pounds. it is claimed that an improvement in the manufacturing process has increased the mean breaking strength. to evaluate this claim, newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be pounds.
assume that the population is normally distributed. can we support, at the level of significance, the claim that the mean breaking strength has increased? (assume that the standard deviation has not changed.)
perform a one-tailed test. then fill in the table below.
(a) what is the null hypothesis? h0:
(b) what is the alternate hypothesis? h1:
(c) do we use the z, t, chi or f test statistic?
(d) what is the value of the test statistic? round to at least three decimal places
(e) what is the critical value at the 0.1 level of significance? (round to at least three decimal places)
(f) **answer this yes or no** can we support the mean breaking strength has increased?
because there is no graph, i will just tell you how many years it should take, and you can probably figure it out from there. to start, let's [get out a calculator] find out what 2% of 250 is. this is 5, so we can add 5. notice that adding 5 to the number does not change 2% of it by much, only by 5/50 or 0.1. so, we can keep adding until we get above 282, which should take 285 minus 250 over 5 times, or 7. so, the answer is 7 years. you can [get out a calculator] and find out that it is indeed 7 years.
total cost $33
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well if the angles are complimentary, that means they add up to 90 degrees.
so just do
90 - 52
and you will get
it is b. cause the equations are put in the right category