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A company claims that its battery has a mean life of 65 months. A consumer protection agency tested 15 batteries and found the mean 63 months with a standard deviation of 2 months. The life such a battery has approximately normal distribution. Assume that a = .05.Test hypothesis if all such batteries has mean less than 65 months.
• State the null and alternate hypotheses.• What is the name of the distribution to use to calculate the sample test statistic?• Under what assumption, this distribution is used?• What is the value for the point estimator of the parameter of interest? • Sketch the rejection region and show the critical values on the sketch.• Compute the value of the sample test statistic and show it's location on the sketch. • Find the P- value for the sample test statistic.• Give a conclusion and explain it in simple non-technical terms.
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