The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown population mean. If a random sample of 27 text messages is taken and results in a sample mean of 23 characters, find a 95% confidence interval for the population mean. Round your answers to two decimal places.
z0.10 | z0.05 | z0.04 | z0.025 | z0.01 | z0.005 |
---|---|---|---|---|---|
1.282 | 1.645 | 1.751 | 1.960 | 2.326 | 2.576 |
Sample Mean = x̄ = 23
Population standard deviation = σ =4
Random Sample size = n = 27
Confidence Level = 95% = 0.95
Alpha (α)= 1 - 0.95 = 0.05
α/2 = 0.025
z-score = 1.96 (From Table, attached below)
95% confidence interval for μ is given as-
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