Answer:
a. 2.13. b. (30.53, 34.79). c. The mean prices for two in mid-range restaurants in Hong Kong are relatively less than those in Tokyo restaurants.
Explanation:
The size of the sample is 42 and the mean of the sample is ∑ = 32.66 and the standard deviation of the sample (σ) is √[∑(
-μ)^2 - 1] = √46.6092 = 6.8271
a. α = 1 - (95/100) = 0.05; α/2 = 0.025; the degree of freedom = n-1 = 42-1 = 41; tα/2 = t0.025 = 2.02. Thus, the error margin = (tα/2)*(σ/√n) = 2.02*(6.83/√42) = 2.1279
b. Lower level limit = 32.66 - 2.1279 = 30.5321; Upper level limit = 32.66+2.1279 = 34.7879. The interval estimate = (mean± margin of error) = (30.53, 34.79).
c. The mean prices for two in mid-range restaurants in Hong Kong are relatively less than those in Tokyo restaurants.