Select the simplification that accurately explains the following statement
a. = 7
on (1) = 7h 7h = 4 + 1 + 1 = 2 = 72 = 7
b. = 76 77 78 7 11 2 = 72 = 7
c. (2) ² = 72 73 72 = 7.72 = 3.37 = 1.7=7
d. (2)² = 72 72 72 = 7 (2+ + 2) = 72 = 7.1=7

The probability that the mean receipt for dinner is between $24.50 and $25.50 is

P(24.50≤ x ≤ 25.50)= 0.8324

Step-by-step explanation:

Step(i):-

Given mean of Population(μ) = $25

Given standard deviation of the Population  (σ) = 2.30

Sample size 'n' = 40

Let 'X' be the random variable in normal distribution

Given X₁ = 24.50

Given X₂ = 25.50

Step(ii):-

The probability that the mean receipt for dinner is between $24.50 and $25.50

P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)

P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)

P(24.50≤ x ≤ 25.50)= 2 A( 1.375)

                               = 2 × 0.4162 ( from normal table)

                              = 0.8324

Final answer:-

The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324