Question

The sampled population is normally distributed, with the given information. (Round your answers to two decimal places.) n = 10, x = 29.5, and 0 = 6.4 (a) Find the 0.95 confidence interval for u. to (b) Are the assumptions satisfied? Explain. W Yes, the sampled population is normally distributed. O No, the sample distribution is not normally distributed. O not enough information You may need to use the appropriate table in Appendix B to answer this question.

Answer 1

Solution:
σ = 6.4 , x̄ = 29.5 , n = 10

C = 0.95 , Z = 1.96 ( Using table )

Margin error = E = Z(σ/√) = 1.96*(6.4/√10) = 3.97

Lower limit = x̄ - E = 29.5-3.97 = 25.53

Upper Limit = x̄ + E = 29.5+3.97 = 33.47

a)

25.53 to 33.47

b)

• Yes. the sampled population is normally distributed.