Customers Can Replace 3 Or 4 Tires At A Time For Their Vehic ✓ Solved
Customers Can Replace 123or 4 Tires At A Time For Their Vehic
Identify the core assignment task: compute the mean of the sampling distribution for the number of tires replaced in a sample of six orders, given the population mean and standard deviation of tires replaced, with no rounding of intermediate steps and providing the answer with two decimal places.
Sample Paper For Above instruction
The problem involves a population of tire replacement orders at Tire Nation, with the mean number of tires replaced per order being μ = 3.67, and a standard deviation σ = 0.86. A random sample of n = 6 orders is taken, and the aim is to find the mean of the sampling distribution of the sample mean, denoted as x̄.
In statistical theory, for a sample size n, the sampling distribution of the sample mean x̄ has a mean μ_x = μ, and a standard deviation (standard error) σ_x = σ / √n.
Given:
- μ = 3.67
- σ = 0.86
- n = 6
Calculating μ_x:
μ_x = μ = 3.67
Therefore, the mean of the sampling distribution of the sample mean is 3.67.
Answer:
μ_x = 3.67
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