Let x denote the time (in minutes) that it takes a fifth-grade student to read a certain passage. Suppose that the mean value and standard deviation of x are μ = 4 minutes and a = 0.8 minutes, respectively. (a) If x is the sample mean time for a random sample of n = 9 students, where is the x distribution centered, and how much does it spread out around the center (as described by its standard deviation)? (Round your answers to three decimal places.) minutes minutes 0x (b) Repeat part (a) for a sample of size of n = 60 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 60 4x = 07 = minutes minutes n = 100 fx 0x = How do the centers and spreads of the three x distributions compare to one another? The centers of the distributions of the sample mean are --Select-- distributions are ---Select-- minutes minutes , and the standard deviations (and therefore spreads) of these

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Let x denote the time (in minutes) that it takes a fifth-grade student to read a certain passage. Suppose that the mean value and standard deviation of x are
μ = 4 minutes and a = 0.8 minutes, respectively.
(a) If x is the sample mean time for a random sample of n = 9 students, where is the x distribution centered, and how much does it spread out around the center
(as described by its standard deviation)? (Round your answers to three decimal places.)
minutes
minutes
ox
(b) Repeat part (a) for a sample of size of n = 60 and again for a sample of size n = 100. (Round your answers to three decimal places.)
n = 60
4x =
07 =
n = 100
Hx
0x =
minutes
minutes
minutes
minutes
How do the centers and spreads of the three x distributions compare to one another?
The centers of the distributions of the sample mean are --Select--
distributions are ---Select--
:
, and the standard deviations (and therefore spreads) of these
Transcribed Image Text:Let x denote the time (in minutes) that it takes a fifth-grade student to read a certain passage. Suppose that the mean value and standard deviation of x are μ = 4 minutes and a = 0.8 minutes, respectively. (a) If x is the sample mean time for a random sample of n = 9 students, where is the x distribution centered, and how much does it spread out around the center (as described by its standard deviation)? (Round your answers to three decimal places.) minutes minutes ox (b) Repeat part (a) for a sample of size of n = 60 and again for a sample of size n = 100. (Round your answers to three decimal places.) n = 60 4x = 07 = n = 100 Hx 0x = minutes minutes minutes minutes How do the centers and spreads of the three x distributions compare to one another? The centers of the distributions of the sample mean are --Select-- distributions are ---Select-- : , and the standard deviations (and therefore spreads) of these
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