Part B) Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.66 and standard deviation 0.78. A USE SALT (a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.66 and 3.00? (Round your answers to four decimal places.) at most 3.00 between 2.66 and 3.00 (b) How large a sample size would be required to ensure that the first probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.) specimens

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Please help with both parts a and b

Part A)
Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint.
0.84
0.86
0.89
1.03
1.10
1.11
1.27
1.32
1.47
1.49
1.58
1.63
1.64
1.72
1.78
1.84
Determine the z percentile associated with each sample observation. (Round your answers to two decimal places.)
Sample observation
0.84
0.86
0.89
1.03
1.10
1.11
1.27
1.32
z percentile
Sample observation
1.47
1.49
1.58
1.63
1.64
1.72
1.78
1.84
z percentile
Part B)
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.66 and standard deviation 0.78.
A USE SALT
(a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.66 and 3.00? (Round your answers to four decimal places.)
at most 3.00
between 2.66 and 3.00
(b) How large a sample size would be required to ensure that the first probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.)
specimens
Transcribed Image Text:Part A) Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint. 0.84 0.86 0.89 1.03 1.10 1.11 1.27 1.32 1.47 1.49 1.58 1.63 1.64 1.72 1.78 1.84 Determine the z percentile associated with each sample observation. (Round your answers to two decimal places.) Sample observation 0.84 0.86 0.89 1.03 1.10 1.11 1.27 1.32 z percentile Sample observation 1.47 1.49 1.58 1.63 1.64 1.72 1.78 1.84 z percentile Part B) Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.66 and standard deviation 0.78. A USE SALT (a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.66 and 3.00? (Round your answers to four decimal places.) at most 3.00 between 2.66 and 3.00 (b) How large a sample size would be required to ensure that the first probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.) specimens
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