26 examples k 1-Sample Z Interval Set Up 1. On the icon menu, select STAT2. Execution 2. When using list data (List is selected as the Data parameter), be sure to input data into the list first. 3. 4(INTR)b(Z)b(1-Smpl)... 1-Sample Z Interval 4. Set calculation parameters. 5. Align the cursor with [Execute] 1(CALC) ... Performs calculation.
7 examples ○ ○ ○ ○ ○ Example In a random sample of size n = 20 from a normal population with the standard deviation σ = 15 and the mean o = 64.3, construct a 95% confidence interval for the population mean µ . Procedure 1 m STAT2 2 4(INTR) b(Z)b(1-Smpl) 3 2(VAR) c .jfw bfw ge.dw caw 1(None)c 4 1(CALC) Result Screen Thus, the 95% confidence interval for µ becomes 57.7<µ<70.9 .
28 examples k 2-Sample Z Interval Set Up 1. On the icon menu, select STAT2. Execution 2. When using list data (List is selected as Data parameter), be sure to input data into the list first. 3. 4(INTR)b(Z)c(2-Smpl)... 2-Sample Z Interval 4. Set calculation parameters. 5. Align the cursor with [Execute] 1(CALC) ... Performs calculation.
29 examples ○ ○ ○ ○ ○ Example Construct a 94% confidence interval for the difference between the mean lifetimes of two kinds of light bulbs(µ1-µ2), given that random sample of 40 light bulbs of the first kind lasted on the average for 418 hours of continuous use and 50 light bulbs of the second kind lasted on the average for 402 hours of continuous use. The population standard deviations are known to be σ1 = 26 and σ2 = 22. Procedure 1 m STAT2 2 4(INTR) b(Z)c(2-Smpl) 3 2(VAR) c .
30 examples k 1-Prop Z Interval Set Up 1. On the icon menu, select STAT2. Execution 2. 4(INTR)b(Z)d(1-Prop)... 1-Prop Z Interval 3. Set calculation parameters. 4. Align the cursor with [Execute] 1(CALC) ... Performs calculation.
31 examples ○ ○ ○ ○ ○ Example Suppose 800 students were selected at random from a student body of 20,000 and given shots to prevent a certain type of flu. All 800 students were exposed to the flu and 600 of them did not get the flu. Let p present the probability that the shot will be successful for any single student selected at random from the entire population of 20,000. Let q be the probability that the shot is not successful.
32 examples k 2-Prop Z Interval Set Up 1. On the icon menu, select STAT2. Execution 2. 4(INTR)b(Z)e(2-Prop)... 2-Prop Z Interval 3. Set calculation parameters. 4. Align the cursor with [Execute] 1(CALC) ... Performs calculation.
33 examples ○ ○ ○ ○ ○ Example If 132 of 200 male voters and 90 of 150 female voters favor a certain candidate running for governor of Texas, find a 99% confidence interval for the difference between the actual proportions of male and female voters who favor the candidate. Procedure 1 m STAT2 2 4(INTR) b(Z)e(2-Prop) 3 .jjw bdcw caaw jaw bfaw 1(None)c 4 1(CALC) Result Screen Let p1 the actual propotion of male voters who favor the candidate.
34 examples k 1-Sample t Interval Set Up 1. On the icon menu, select STAT2. Execution 2. When using list data (List is selected as Data parameter), be sure to input data into the list first. 3. 4(INTR)c(T)b(1-Smpl)... 1-Sample t Interval 4. Set calculation parameters. 5. Align the cursor with [Execute] 1(CALC) ... Performs calculation.
35 examples ○ ○ ○ ○ ○ Example A paint manufacture wants to determine the average drying time of a new interior wall paint. If for 12 test areas of equal size he obtained a mean drying time of 66.3 minutes and a standard deviation of 8.4 minutes, construct a 95% confidence interval for the population mean µ. Procedure 1 m STAT2 2 4(INTR) c(T)b(1-Smpl) 3 2(VAR) c .jfw gg.dw i.ew bcw 1(None)c 4 1(CALC) Result Screen Thus, the 95% confidence interval for µ becomes 61.0<µ<71.6 .
36 examples k 2-Sample t Interval (Pooled On) Set Up 1. On the icon menu, select STAT2. Execution 2. When using list data (List is selected as the Data parameter), be sure to input data into the list first. 3. 4(INTR)c(T)c(2-Smpl) ... 2-Sample t Interval 4. Set calculation parameters. 5. Align the cursor with [Execute] 1(CALC) ... Performs calculation.
37 examples ○ ○ ○ ○ ○ Example Factory A and Factory B both manufacture the same item. To compare the productivity of the two factories, the production data shown below was collected for 10 items at Factory A and nine items at Factory B.
38 examples k 2-Sample t Interval (Pooled Off) Set Up 1. On the icon menu, select STAT2. Execution 2. When using list data (List is selected as the Data parameter), be sure to input data into the list first. 3. 4(INTR)c(T)c(2-Smpl) ... 2-Sample t Interval 4. Set calculation parameters. 5. Align the cursor with [Execute] 1(CALC) ... Performs calculation.
39 examples ○ ○ ○ ○ ○ Example Factory A and Factory B both manufacture the same item. To compare the productivity of the two factories, the production data shown below was collected for 10 items at Factory A and nine items at Factory B.