Age 35 46 31 50 19 24 25 27 25 50 57 57 33 74 36 60 32 33 32 42 51 34 38 42 74 35 43 63 43 37 20 37 44 52 32 58 29 25 25 28 34 34 38 36 21 28 38 29 34 36 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