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astultz309459
26.03.2020 •
Mathematics
ACME Manufacturing claims that its cell phone batteries last more than 32 hours on average in a certain type of cell phone. Tests on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a population standard deviation of 10 hours. Is the mean battery life greater than the 32 hour claim? Answer the following questions using a significance level of alpha = 0.05.
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Ответ:
We can conclude that the battery life is greater than the 32 hour claim.
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the statistic,
is the mean,
is the standard deviation and n is the size of the sample.
In this problem, we have that:
So
We need to find the probability of finding a mean time greater than 37.8. If it is 5% of smaller(alpha = 0.05.), we can conclude that the battery life is greater than the 32 hour claim.
Probability of finding a mean time greater than 37.8
1 subtracted by the pvalue of z = t = 2.46.
z = 2.46 has a pvalue of 0.9931
1 - 0.9931 = 0.0069 < 0.05
So we can conclude that the battery life is greater than the 32 hour claim.
Ответ:
2^6
Step-by-step explanation: