Confidence Interval for Me Conditions for Estimating Population Mean using T-Interval 1. Is the sample from the population a random sample OR if an experiment are the treatments randomly assigned to individua 2. Is the distribution of X-bar approximately normal? GO!! You may proceed with the T-interval to estimate the popu Input Values Sample Mean (x-bar): Sample Standard Deviation (s): Sample Size (n): Confidence Level (in decimal form 95% = 0.95): Results ( Do Not Change These Values) Critical Value [t(alpha/2)]: Standard Error[s/sqrt(n)]: Margin of Error [critical value*standard error]: degrees of freedom Enter 15 4 25 0.95 2.0638986 0.8 1.6511188 24 <-- Enter Value <-- Enter Value <-- Enter Value <-- Enter Value Lower Bound: Upper Bound: 13.3488811507 16.6511188493 Interval for Mean (T-Interval) al mly assigned to individuals? al to estimate the population mean Checking Conditions Stated in problem? Population X approximately normal? Sample Size 30? Enter Yes or No yes no yes <- Enter <-Enter <-Enter Confidence Interval for Prop Conditions for Estimating Population Proportion using Z-Interval 1. Is the sample from the population a random sample OR if an experiment are the treatments randomly assigned to individua 2. Is the distribution of p-hat approximately normal? GO!! You may proceed with the T-interval to estimate the populati Input Values Number of Successes (x): Number of Trials (n): Confidence Level (in decimal form 95% = 0.95): Results Critical Value [Z(alpha/2)]: Standard Error[sqrt(p-hat(1-p-hat)/n)]: Margin of Error [critical value*standard error]: Enter 15 30 0.95 1.959964 0.091287 0.178919 <-- Enter Value <-- Enter Value <-- Enter Value Lower Bound: Upper Bound: 0.3210805856 0.6789194144 nterval for Proportion erval mly assigned to individuals? to estimate the population proportion Checking Conditions Stated in problem? n(p-hat) 5 n(1-p-hat) 5 Enter Yes or No yes yes yes Hypothesis Test for M Conditions for Testing Hypothesis Regarding Population Mean 1. Is the sample from the population a random sample OR if an experiment are the treatments randomly assigned to individua 2. Is the distribution of X-bar approximately normal? GO!! You may proceed with the T-test for population Input Values Hypothesized Mean (0) Sample Mean (x-bar): Sample Standard Deviation (s): Sample Size (n): Significance Level (in decimal form 5% = 0.05): Results ( Do Not Change These Values) Standard Error[s/sqrt(n)]: degrees of freedom Test Statistic (t) Enter 16 14 3 30 0.05 <-- Enter Value <-- Enter Value <-- Enter Value <-- Enter Value <-- Enter Value p-values 0.5477226 29 -3.651484 Left -Tailed Test HA: < 0 0.0005106476 Reject H0 Hypothesis Test for Mean (T-Test) rding Population Mean reatments randomly assigned to individuals? ay proceed with the T-test for population mean p-values Right-Tailed Test Two-Tailed Test HA: > 0 HA: 0 0.9994893524 0.0010212952 Do Not Reject H0 Reject H0 Checking Conditions Stated in problem? Population X approximately normal? Sample Size 30? Enter Yes or No yes no yes <- Enter <-Enter <-Enter Hypothesis Test for Conditions for Testing Hypothesis Regarding Population Proportion 1. Is the sample from the population a random sample OR if an experiment are the treatments randomly assigned to individua 2. Is the distribution of p-hat approximately normal? GO!! You may proceed with the T-test for population Input Values Hypothesized Population Proportion (p0) Number of Trials in the sample (x): Sample Size (n): Significance Level (in decimal form 5% = 0.05): Results ( Do Not Change These Values) Standard Error[sqrt(p(1-p)/n]: Test Statistic (Z) Sample p (p-hat) Enter 0.5 15 40 0.05 0.0790569 -1.581139 0.375 <-- Enter Value <-- Enter Value <-- Enter Value <-- Enter Value p-values HA: p < p0 0.056923149 Do Not Reject H0 Hypothesis Test for Proportion ng Population Proportion eatments randomly assigned to individuals? ay proceed with the T-test for population mean p-values HA: p > p0 HA: p p0 0.943076851 0.113846298 Do Not Reject H0 Do Not Reject H0 Checking Conditions Stated in problem? np 5 n(1-p) 5 Enter Yes or No yes yes yes <- Enter <-Enter <-Enter Subscriber Number Response 1 No 2 Yes 3 Yes 4 Yes 5 Yes 6 Yes 7 No 8 Yes 9 No 10 Yes 11 Yes 12 Yes 13 Yes 14 No 15 Yes 16 Yes 17 Yes 18 Yes 19 Yes 20 Yes 21 Yes 22 Yes 23 No 24 Yes 25 Yes 26 Yes 27 No 28 Yes 29 Yes 30 Yes 31 Yes 32 No 33 No 34 Yes 35 Yes 36 Yes 37 Yes 38 No 39 Yes 40 Yes 41 No 42 Yes 43 No 44 Yes 45 Yes 46 Yes 47 Yes 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes No Yes Yes Yes Yes Yes No No No Yes No Yes No No Yes Yes Yes No Yes No Yes Yes Yes No No No No No Yes No Yes Yes Yes Yes Yes No No Yes No 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 Yes Yes No No Yes Yes Yes No No Yes Yes Yes Yes Yes Yes Yes Yes No No Yes Yes Yes No Yes Yes Yes No Yes No Yes No No Yes Yes No No Yes Yes No Yes Yes Yes Yes Yes No Yes Yes Yes No No 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 No Yes Yes Yes Yes No Yes Yes Yes Yes Yes No Yes No Yes Yes No No No No Yes Yes No Yes No Yes No Yes Yes No No Yes Yes Yes Yes Yes No No Yes Yes Yes Yes No No No Yes Yes Yes Yes