Answer:
0.2308 or 23.08%
Explanation:
Mean (μ) = $12.50
Standard deviation (σ) = $3.25
Assuming a normal distribution, for any given fare X, the z-score is calculated as:
For X = $15.00, the z-score is:
A z-score of 0.7692 corresponds to the 77.91-th percentile of a normal distribution. Therefore, the probability that a fare exceeds $15.00 is:
The probability that a specific fare will exceed $15.00 is 0.2308.
a. Standard labor-hours is 7920 hours.
b. Standard labor cost allowed is $42,768.
c. The labor spending variance is $1588(U).
d. The labor rate variance is $1706 and the labor efficiency variance $3294(U).
e. The variable overhead rate is $5971(U) and efficiency variances for the month $5580(U).
<u>Explanation:</u>
a)Standars hours(SH) allowed to make 19800 jogging mates
=SH per unit 19800
=(24/60)*19800
=7920 hours
24/60 has been taken to convert minutes into hours.
b)Standard Labor Cost (SC) of 19800 jogging mates
=$42,768
c)Labour Spending Variance
=$1588(U)
d)Labor Rate Variance
=$1706
Actual Hours(AH) * Actual Rate per hour(AR)= Actual Cost(AC)
Labor Efficiency Variance
=$3294(U)
e) Variable overhead rate variance = Actual hours worked (Standard overhead rate - Actual overhead rate)
= 8530 (4.5 - 5.20)
= $5971(U)
Actual overhead rate = $44,356 / 8530 = 5.20
Variable overhead efficiency variance = Standard overhead rate (Standard hours - Actual hours)
= 4.50 (7290 - 8530)
= $5580(U).