It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data. Compute a 98% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 98 % confidence that the true mean time a student sleeps per night is between and hours. (round to 3 decimal places)
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Step 1
Given data: 6.5, 7.2, 6.8, 6.9, 6.3, 6.7, 6.4, 6.5 Mean (x̄) = (6.5 + 7.2 + 6.8 + 6.9 + 6.3 + 6.7 + 6.4 + 6.5) / 8 Mean (x̄) = 54.3 / 8 Mean (x̄) = 6.7875 Show more…
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It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. sleep hours data 8.6, 8.3, 7.6, 6, 7.1, 5.6, 5.1, 6 Compute a 92% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 92 % confidence that the true mean time a student sleeps per night is between _____ and _____ (round to 3 decimal places)
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Let $X=$ number of hours each student in the class slept the night before. Create a discrete variable by using the following arbitrary intervals: $X<3,3 \leq X<6,6 \leq X<9,$ and $X \geq 9$ (a) Estimate the probability distribution for $X$. (b) Calculate the estimated mean and variance for $X$.
Mathematical Expectation
Chebyshev's Theorem
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