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Mathematics, 31.01.2021 06:30 ashleymarie11142

Researchers wanted to compare the time taken to complete a task using the non-dominant hand for right-handed people and left-handed people. One group of 72 right-handed people took an average of 25 seconds to write a provided short sentence using their left hand. Another group of 62 left-handed people took an average of 19 seconds to write the same sentence using their right hand. Assume that the population standard deviations of times taken to write the sentence are 1.8 seconds for the righties and 1.5 seconds for the lefties. Find the 95% confidence interval for the difference in population mean time to write the sentence between righties and lefties. Let the right-handed people be the first sample, and let the left-handed people be the second sample. Assume the samples are random and independent. Assume that both the population distributions are normally distributed. Round your answer to two decimal places.

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