A manufacturer claims that a model of electric scooter has a batterycharging time of 150 minutes (i.e. 2.5 hours). In order to test this claim, 22electric scooters of that model were charged from empty to full battery. Thelength of time for each scooter to charge fully was recorded in minutes.The results are summarised in Table 2.Table 2 Summary statistics for the battery charging time (in minutes) of amodel of electric scooterSample size Mean Standard deviation2216129(a) What is the most appropriate version of the t-test if you want to testthe null hypothesis that the underlying population mean batterycharging time for this model of scooter is what the manufacturer claimsit to be, and the alternative hypothesis is that the underlyingpopulation mean battery charging time is not what the manufacturerclaims it to be? Justify your choice.(b) What are the number of degrees of freedom and the 5% critical value forthe most appropriate t-test applied to these data?(c) Hence calculate a 95% confidence interval for the population meanbattery charging time for this model of electric scooter. Your answershould be rounded to the nearest whole number.(d) Based on your calculated 95% confidence interval, is it plausible thatthe underlying population mean battery charging time is 150 minutes asclaimed by the manufacturer? Justify your answer.

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A manufacturer claims that a model of electric scooter has a battery charging time of 150 minutes (i.e. 2.5 hours). In order to test this claim, 2. electric scooters of that model were charged from empty to full battery. TE length of time for each scooter to charge fully was recorded in minutes. The results are summarised in Table 2.