Explanation Calculation: Step-by-step procedure to generate 200 random samples using the MINITAB software: Click on Calc > Random Data > Binomial Distribution . In Number of rows of data to generate section, enter 200 . In the Store in column , enter column C1 named as Random Numbers . For Number of trails , enter 50 . For Probability , enter 0.6 . Click OK .. Output using the MINITAB is given below: Random number 27 28 31 41 26 33 22 29 23 31 26 28 29 32 27 31 29 31 29 27 29 31 29 34 28 32 30 31 28 28 29 30 26 30 37 30 23 33 26 33 31 28 32 28 29 36 31 30 31 30 29 27 33 31 28 36 30 27 27 33 32 32 33 27 27 31 31 29 29 25 28 30 25 24 31 25 31 31 27 32 31 30 33 27 24 30 32 35 29 32 32 26 24 28 25 29 30 27 31 32 28 29 26 33 32 32 34 26 28 32 35 32 29 32 32 35 32 26 27 26 26 35 27 31 28 27 32 30 30 34 32 34 24 29 32 37 24 24 24 24 26 26 34 27 30 31 30 26 30 31 31 27 24 35 32 30 28 27 27 22 34 31 33 24 34 31 35 27 33 28 33 28 33 27 25 31 31 26 31 29 32 28 28 35 27 29 30 39 29 34 24 25 29 33 26 29 34 35 34 32 From the Standard Normal Table, the z value for 90% level is 1.645. The general formula for the confidence interval for the binomial parameter is, p ^ ± z 1 − α 2 p ^ q ^ n The lower bound and upper bound is tabulated below: Random Numbers p ^ q ^ = 1 − p ^ z 1 − α 2 S E = z 1 − α 2 p ^ q ^ n Lower bound Upper bound 27 0.54 0.46 1.645 0.1159 0.4241 0.6559 26 0.52 0.48 1.645 0.1162 0.4038 0.6362 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 31 0.62 0.38 1.645 0.1129 0.5071 0.7329 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 31 0.62 0.38 1.645 0.1129 0.5071 0.7329 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 35 0.7 0.3 1.645 0.1066 0.5934 0.8066 26 0.52 0.48 1.645 0.1162 0.4038 0.6362 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 26 0.52 0.48 1.645 0.1162 0.4038 0.6362 31 0.62 0.38 1.645 0.1129 0.5071 0.7329 34 0.68 0.32 1.645 0.1085 0.5715 0.7885 33 0.66 0.34 1.645 0.1102 0.5498 0.7702 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 24 0.48 0.52 1.645 0.1162 0.3638 0.5962 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 31 0.62 0.38 1.645 0.1129 0.5071 0.7329 30 0.6 0.4 1.645 0.1140 0.4860 0.7140 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 27 0.54 0.46 1.645 0.1159 0.4241 0.6559 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 30 0.6 0.4 1.645 0.1140 0.4860 0.7140 30 0.6 0.4 1.645 0.1140 0.4860 0.7140 26 0.52 0.48 1.645 0.1162 0.4038 0.6362 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 35 0.7 0.3 1.645 0.1066 0.5934 0.8066 34 0.68 0.32 1.645 0.1085 0.5715 0.7885 26 0.52 0.48 1.645 0.1162 0.4038 0.6362 27 0.54 0.46 1.645 0.1159 0.4241 0.6559 31 0.62 0.38 1.645 0.1129 0.5071 0.7329 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 25 0.5 0.5 1.645 0.1163 0.3837 0.6163 31 0.62 0.38 1.645 0.1129 0.5071 0.7329 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 26 0.52 0.48 1.645 0.1162 0.4038 0.6362 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 33 0.66 0.34 1.645 0.1102 0.5498 0.7702 33 0.66 0.34 1.645 0.1102 0.5498 0.7702 25 0.5 0.5 1.645 0.1163 0.3837 0.6163 33 0.66 0.34 1.645 0.1102 0.5498 0.7702 24 0.48 0.52 1.645 0.1162 0.3638 0.5962 26 0.52 0.48 1.645 0.1162 0.4038 0.6362 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 27 0.54 0.46 1.645 0.1159 0.4241 0.6559 24 0.48 0.52 1.645 0.1162 0.3638 0.5962 34 0.68 0.32 1.645 0.1085 0.5715 0.7885 24 0.48 0.52 1.645 0.1162 0.3638 0.5962 33 0.66 0.34 1.645 0.1102 0.5498 0.7702 33 0.66 0.34 1.645 0.1102 0.5498 0.7702 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 41 0.82 0.18 1.645 0.0894 0.7306 0.9094 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 34 0.68 0.32 1.645 0.1085 0.5715 0.7885 30 0.6 0.4 1.645 0.1140 0.4860 0.7140 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 31 0.62 0.38 1.645 0.1129 0.5071 0.7329 27 0.54 0.46 1.645 0.1159 0.4241 0.6559 24 0.48 0.52 1.645 0.1162 0.3638 0.5962 27 0.54 0.46 1.645 0.1159 0.4241 0.6559 28 0.56 0.44 1.645 0.1155 0.4445 0.6755 33 0.66 0.34 1.645 0.1102 0.5498 0.7702 32 0.64 0.36 1.645 0.1117 0.5283 0.7517 31 0.62 0.38 1.645 0.1129 0.5071 0.7329 29 0.58 0.42 1.645 0.1148 0.4652 0.6948 27 0.54 0.46 1.645 0.1159 0.4241 0.6559 35 0.7 0.3 1.645 0.1066 0.5934 0.8066 24 0.48 0.52 1.645 0.1162 0.3638 0.5962 27 0.54 0.46 1.645 0.1159 0.4241 0.6559 35 0.7 0.3 1.645 0.1066 0.5934 0.8066 33 0.66 0.34 1.645 0.1102 0.5498 0.7702 26 0.52 0.48 1

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Chapter 6, Problem 94P

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Obtain the large sample two sided of the Cis include the parameter for a binomial distribution with n=50and p=0.6.

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Chapter 6, Problem 93P

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Chapter 6 Solutions

EBK FUNDAMENTALS OF BIOSTATISTICS

Ch. 6.5 - What is the difference between a standard...Ch. 6.5 - What does a 95% CI mean?Ch. 6 - Suppose we are asked to construct a list of...Ch. 6 - Suppose we are asked to construct a list of...Ch. 6 - Suppose we are asked to construct a list of...Ch. 6 - Suppose we are asked to construct a list of...Ch. 6 - The data in Table 6.10 concern the mean triceps...Ch. 6 - The data in Table 6.10 concern the mean triceps...Ch. 6 - The data in Table 6.10 concern the mean triceps...Ch. 6 - The data in Table 6.10 concern the mean triceps...

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Chapter 6 Solutions