Garry MAT 2058 WK 4 DISCUSSION

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Miami Dade College, Miami *

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2058

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Information Systems

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Nov 24, 2024

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docx

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3

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My assigned number is 6 and my problems are below. Section 8.1#28 Find the levels of the confidence intervals that have the given critical values 1.04 Z-score 1.04 corresponds to probability 0.851. That is the z-score for the upper limit of the CI. The z-score for the lower limit of the CI will be -1.04, which corresponds to probability 0.149. The difference between those two probabilities is 0.851- 0.149 = 0.702, which converts 70.2% Answer= 70.2% Section 8.2#46 Baby talk ;In a sample of 77 children the mean age at which they first began to combine words was 16.51 months , with a standard deviation of 9.59months.
a) Construct a 95% confidence interval for the mean age at which children first begin to combine words b) T he confidence interval is 95% C . I . = 16.51 ±   1.96 *(9.59/√77) = 16.51 ± 2.12 c) Answer= 14.39 and 18.63 b) If a sample of 50 children had been studied would you expect the confidence interval to be wider or narrower than the interval constructed in part (a)? Explain Answer; the confidence interval will be wider because the fraction is larger
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