Suppose a simple random sample of size n = 13 is obtained from a population with μ = 62 and o = 17. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <66.3). (c) Assuming the normal model can be used, determine P(x264.1). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). B. There are no requirements on the shape of the distribution of the population. OC. Since the sample size is large enough, the population distribution does not need to be normal D. The population must be normally distributed and the sample size must be large Assuming the normal model can be used, describe the sampling distribution x. 13 ox=√17 A. Normal, with μ = 62 and o 17 B. Normal, with μ = 62 and o √13 OC. Normal, with μ = 62 and x = 17 (b) P(x<66.3)= (Round to four decimal places as needed.) C

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Solve for B and C

Suppose
a simple random sample of size n = 13 is obtained from a population with µ = 62 and o= 17.
(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used,
describe the sampling distribution x
(b) Assuming the normal model can be used, determine P(x < 66.3).
(c) Assuming the normal model can be used, determine P(x 2 64.1).
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
OB. There are no requirements on the shape of the distribution of the population.
OC. Since the sample size is large enough, the population distribution does not
need to be normal.
OD. The population must be normally distributed and the sample size must be large
Assuming the normal model can be used, describe the sampling distribution x.
13
A. Normal, with μ* = 62 and ox=√17
B. Normal, with
OC.
Normal, with
Px
Px
dox =
= 62 and
= 62 and o- =
17
√13
= 17
(b) P(x<66.3) = (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n = 13 is obtained from a population with µ = 62 and o= 17. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x (b) Assuming the normal model can be used, determine P(x < 66.3). (c) Assuming the normal model can be used, determine P(x 2 64.1). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). OB. There are no requirements on the shape of the distribution of the population. OC. Since the sample size is large enough, the population distribution does not need to be normal. OD. The population must be normally distributed and the sample size must be large Assuming the normal model can be used, describe the sampling distribution x. 13 A. Normal, with μ* = 62 and ox=√17 B. Normal, with OC. Normal, with Px Px dox = = 62 and = 62 and o- = 17 √13 = 17 (b) P(x<66.3) = (Round to four decimal places as needed.)
Standard Normal Distribution Table (page 1)
Area
Z
-3.4
-3.2
-29
-2.8
-2.7
-2.6
-2.5
-2.4
-2.2
-1.9
-1.8
0.00
0:0003
0.0005
0.0007
0.0010
0.0013
0.0019
0.0026
0.0035
0.0047
0.0062
0.0082
0.0107
0.01.39
0.0179
0.0228
0.0287
0.0359
0.01
0.0003
0.0005
0.0007
0.0009
0.0013
0.0018
0.0025
0.0034
0.0045
0.0060
0.0080
0.0104
0.0136
0.0174
0.0222
0.0281
0.0351
0.02
0.0003
0.0005
0.0006
0.0009
0.0013
0.0018
0.0024
0.0033
0.0044
0.0059
0.0078
0.0102
0.0132
0.0170
0.0217
0.0274
0.0344
Standard Normal Distribution
0.03
0.04
0.05
0.0003
0.0004
0.0006
0.0009
0.0012
0.00 17
0.0023
0.0032
0.0043
0.0057
0.0075
0.0099
0.0129
0.0166
0.0212
0.0268
0.0336
Print
0.0003
0.0004
0.0006
0.0008
0.0012
0.0016
0.0023
0.0031
0.0041
0.0055
0.0073
0.0096
0.0125
0.0162
0.0207
0.0262
0.0329
0.0003
0.0004
0.0006
0.0008
0.0011
0.0016
0.0022
0.0030
0.0040
0.0054
0.0071
0.0004
0.0122
0.0158
0.0202
0.0256
0.0322
Done
0.00
0.0003
0.0004
0.0006
0.0008
0.0011
0.0015
0.0021
0.0029
0.0039
0.0052
0.0069
0.0091
0.0119
0.0154
0.0197
0.0250
0.0314
0.07
0.0003
0.0004
0.0005
0.0008
0.0011
0.0015
0.0021
0.0028
0.0038
0.0051
0.0068
0.0089
0.0116
0.0150
0.0192
0.0244
0.0307
0.08
0.0003
0.0004
0.0005
0.0007
0.0010
0.0014
0.0020
0.0027
0.0037
0.0049
0.0066
0.0087
0.0113
0.0146
0.0188
0.0239
0.0301
0.09
0.0002
0.0003
0.0005
0.0007
0.0010
0.0014
0,0019
0.0026
0.0036
0.0048
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
Transcribed Image Text:Standard Normal Distribution Table (page 1) Area Z -3.4 -3.2 -29 -2.8 -2.7 -2.6 -2.5 -2.4 -2.2 -1.9 -1.8 0.00 0:0003 0.0005 0.0007 0.0010 0.0013 0.0019 0.0026 0.0035 0.0047 0.0062 0.0082 0.0107 0.01.39 0.0179 0.0228 0.0287 0.0359 0.01 0.0003 0.0005 0.0007 0.0009 0.0013 0.0018 0.0025 0.0034 0.0045 0.0060 0.0080 0.0104 0.0136 0.0174 0.0222 0.0281 0.0351 0.02 0.0003 0.0005 0.0006 0.0009 0.0013 0.0018 0.0024 0.0033 0.0044 0.0059 0.0078 0.0102 0.0132 0.0170 0.0217 0.0274 0.0344 Standard Normal Distribution 0.03 0.04 0.05 0.0003 0.0004 0.0006 0.0009 0.0012 0.00 17 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 Print 0.0003 0.0004 0.0006 0.0008 0.0012 0.0016 0.0023 0.0031 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0262 0.0329 0.0003 0.0004 0.0006 0.0008 0.0011 0.0016 0.0022 0.0030 0.0040 0.0054 0.0071 0.0004 0.0122 0.0158 0.0202 0.0256 0.0322 Done 0.00 0.0003 0.0004 0.0006 0.0008 0.0011 0.0015 0.0021 0.0029 0.0039 0.0052 0.0069 0.0091 0.0119 0.0154 0.0197 0.0250 0.0314 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0150 0.0192 0.0244 0.0307 0.08 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.0239 0.0301 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0,0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294
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