Question 1: A mobile phone manufacturer claims that the batteries in the manufactured mobile phones are...

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Question 1: A mobile phone manufacturer claims that thebatteries in the manufactured mobile phones are used for an averageof 140 hours after being charged once. For this purpose, 17telephone batteries were chosen randomly and it was determined thatthey could be used for an average of 136 hours and the standarddeviation was 29 hours. According to this;
a-) Is the batteries lasting less than 140 minutes according to1% significance level? Examine statistically.
b-) Determine the confidence interval of the batteries' standbytime at 1% significance level.

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Solution a The null and alternative hypotheses are as followsie The average lasting time of batteries is 140 hoursie The average lasting time of batteries is less than 140hoursTo test the hypothesis we shall use one sample ttest The teststatistic is given as follows Where x is sample mean s is sample standard deviation ishypothesized value of population mean under H0 See Answer

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