(a) Independent tests reveal that the mean lifetime (in continuous operation) of
ID: 3358068 • Letter: #
Question
(a) Independent tests reveal that the mean lifetime (in continuous operation) of the best remote control button on the market is 1,200 hours. Letting be the mean lifetime of the population of all new remote control buttons that will or could potentially be produced, set up the null and alternative hypotheses needed to attempt to provide evidence that the new button’s mean lifetime exceeds the mean lifetime of the best remote button currently on the market.
H0: (Click to select)< 1,200 versus Ha: (Click to select)> 1,200.
(b) Using the previously given sample results, use critical values to test the hypotheses you set up in part a by setting equal to .10, .05, .01, and .001. What do you conclude for each value of ? (Round your answers to 3 decimal places.)
H0: (Click to select)Do not rejectReject 1200 versus Ha: (Click to select)rejectdo not reject 1200.
(Click to select)Do not rejectReject H0 at each value of . (Click to select)Sample of n = 35Sample of n = 100 provides stronger evidence.
(d) If we define practical importance to mean that exceeds 1,200 by an amount that would be clearly noticeable to most consumers, do you think that the result has practical importance? Explain why the samples of 35 and 100 both indicate the same degree of practical importance.
Maybe the two samples have (Click to select)differentequal point estimates of .
(1) Do we have a highly statistically significant result?
(2) Do you think we have a practically important result?
Explanation / Answer
(A)
H0: 1200 versus Ha: > 1200
(B)
t = (1241.4 - 1200)/(110/sqrt(35)) = 2.2266
c)
Sample size of 100 gives more statistically significant results
d)
may be the two samples have different point estimates of mean.
e)
Yes highly significant results
not likely as x is much larger than 1200
t 2.227 t(0.05) 1.691 Do not reject t(0.01) 2.441 RejectRelated Questions
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