Answer:
Step-by-step explanation:
Let x be the random variable representing the mean weight of Adult Golden Retrievers. Assuming the weights are normally distributed(number of samples is greater than 30), we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 64
σ = 8
n = 35
the probability that the sample mean will be less than 65.5 pounds is expressed as
P(x < 65.5)
For x = 65.5,
z = (65.5 - 64)/(8/√35) = 1.11
Looking at the normal distribution table, the probability corresponding to the z score is 0.8665
Therefore, the probability that the sample mean will be less than 65.5 pounds is 0.8665
