Chapter 7 - Section 7.3 - Shape of the Sampling Distribution of x - Exercises - Page 288: 7.25

$\mu$= 3.02, σ = 0.29, N =5540 students, n = 48 $\mu$ = $\mu$ _${\bar{x}}$= 3.02 σ_${\bar{x}\ }$ = $\frac{σ}{\sqrt n}$ = $\frac{.29}{\sqrt 48 }$ = 0.042 The sampling distribution has a greater extent of normal distribution since it has a smaller standard deviation compared to the population distribution. In other words, the spread in sampling distribution is smaller.

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