Given two normally distributed populations with means (₁, ₂) = (88, 83) and standard deviations (01,02) = (44, 52), respectively, what is the probability that samples of size n₁ = 78 and n₂ = 79 will yield a value of 1 - 2 greater than 3 but less than 14 ? O e. 0.4819 O c. 0.4814 O d. 0.9648 O a. 0.0643 O b. 0.1422

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Given two normally distributed populations with means \((\mu_1, \mu_2) = (88, 83)\) and standard deviations \((\sigma_1, \sigma_2) = (44, 52)\), respectively, what is the probability that samples of size \(n_1 = 78\) and \(n_2 = 79\) will yield a value of \(\bar{x}_1 - \bar{x}_2\) greater than 3 but less than 14?

- ○ e. 0.4819
- ○ c. 0.4814
- ○ d. 0.9648
- ○ a. 0.0643
- ○ b. 0.1422
Transcribed Image Text:Given two normally distributed populations with means \((\mu_1, \mu_2) = (88, 83)\) and standard deviations \((\sigma_1, \sigma_2) = (44, 52)\), respectively, what is the probability that samples of size \(n_1 = 78\) and \(n_2 = 79\) will yield a value of \(\bar{x}_1 - \bar{x}_2\) greater than 3 but less than 14? - ○ e. 0.4819 - ○ c. 0.4814 - ○ d. 0.9648 - ○ a. 0.0643 - ○ b. 0.1422
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μ1=88,μ2=83,σ1=44,σ2=52,n1=78,n2=79

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