You have taken a random sample of size 18 from a normal populationthat has a population mean of -10 and a population standard deviationof -3. Your sample, which is Sample 1 in the table below, has a mean of7-s. (In the table, Sample 1 is written "S1", Sample 2 is written "S2",etc.)8(4) Based on Sample 1, graph the 80% and 95% confidence intervals forthe population mean. Use 122 for the critical value for the 80%confidence interval, and use 1.960 for the critical value for theconfidence interval. (If necessary, consult a list of formulas• Enter the lower and upper limits on the graphs to show eachconfidence interval. Write your answers with one decimalplace.• For the points (and), enter the population mean, μ-100.STA97097080% confidence intervalCOM10095% confidence interval80% 80% 95% 95%lower upper lower upperSmit limit limit limit101.3 9.0 1018101 3 990 1018100.5 98.2 10101004 981 1009100.7 98.4 101.2100.5 98.2 100.0100.7100.7 984 10121012 98.9 101.7$2 100.4 99.5$3 104 99554 996 98.7ss 99.5 98656 993 98.957 996 98.7se 993 96.9SP 100.3 994$10 996 98.7100.5 58.2 101.0511 101.2 100.3 102.1 99.8 102.6$12 996 98.7 100.5100.5 98.2 1010101.5 99.2101.5 99.2 1020101.2 98.9 101.7$13 100.6 99.7814 100.3 994$15 996 98.7$16 101.1 100.298.7100.51005 98.2 100.01020 99.7 102.5$17 104 995 101.399.0 101.8$18 99.7 98.8 100.6 98.3 101.1$19 993 98.9 100.7 98.4 1012$20 100.6 99.7 101.5 99.2 102.0THELE10405DOL(b)Press the "Generate Samples" button below to simulate taking 19more samples of size -18 from the population. Notice that theconfidence intervals for these samples are drawn automatically.Then complete parts (c) and (d) below the table.-104083% confidence intervalsHFFHFHHHHHHH1040 97.0(4) Notice that for-100% of the samples, the 95%confidence interval contains the population mean.Choose the correct statement.When constructing 95% confidence intervals for 20samples of the same size from the population, atleast 95% of the samples will contain the populationmean.When constructing 95% confidence intervals for 20samples of the same size from the population,exactly 95% of the samples must contain thepopulation mean. There must have been an errorwith the way our samples were chosen.When constructing 95% confidence intervals for 20samples of the same size from the population, thepercentage of the samples that contain thepopulation mean should be close to 95%, but it maynot be exactly 5%(d) Choose ALL that are true.0 The 95% confidence interval for Sample 13 indicatesthat 95% of the Sample 13 data values are between99.2 and 102.0The se confidence interval for Sample 13 isnarrower than the 95% confidence interval forSample 13. This is coincidence; when constructing acamoleconfidence interval for a sample, there is norelationship between the level of confidence and thewidth of the interval.From the 80% confidence interval for Sample 13, wecannot say that there is an se% probability that thepopulation mean is between 99.7 and 101.3.If there were a Sample 21 of size -36 taken fromthe same population as Sample 13, then the 95%confidence interval for Sample 21 would be widerthan the 95% confidence interval for Sample 13.None of the choices above are true.95% confidence intervalsHFHHHHHHHHLHHHHHHHHHH++++51040

Sample size n=18 Population mean μ=100 Population standard deviation σ=3 Sample mean x¯=98.8

You have taken a random sample of size from a normal population that has a population mean of -tee and a population standard deviation of -3. Your sample, which is Sample 1 in the table below, has a mean of 7- (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) (4) Based on Sample 1, graph the sand 95% confidence intervals for the population mean. Use 12 for the critical value for the so confidence interval, and use 1.0 for the critical value for thelles confidence interval. (If necessary, consult a list of formulas • Enter the lower and upper limits on the graphs to show each confidence interval. Write your answers with one decimal place. For the points (and), enter the population mean, -100. 80% confidence interve wre UTC 95% cadence interval s 80% 80% 95% 95% lower upper tower upper TOLD (Press the "Generate Samples" button below to simulate taking more samples of size from the population. Notice that the confidence intervals for these samples are drawn automatically. Then complete parts (c) and (d) below the table. 51 963 $2 100.4 995 101.3 99.0 1018 53 184 995 1013 900 1018 54 996 98.7 100.5 98.2 1010 ss 99.5 986 1004 981 1009 $6 993 99 1007 98.4 1012 59 1103 994 67 996 96.7 100.5 98.2 100 58 993 99 1007 584 1012 1012 98.9 101.7 $10 996 96.7 1005 98.2 1010 511 101.2 100.3 1021 99.8 1026 $12 996 96.7 100.5 98.2 1010 513 100.6 997 101.5 99.2 1020 814 100.3 994 1012 98.9 1017 815 996 987 1005 9.2 1010 $16 101.1 1002 1020 997 1025 $17 1884 995 101.3 900 1018 1006 983 101.1 $18 997 988 $19 993 96.9 100.7 984 1012 $20 106.6 99.7 101.5 99.2 1020 1040 H40 973 Notice that for-100% of the samples, the 99% confidence interval contains the population mean. Choose the correct statement. When constructing 95% confidence intervals for 20 samples of the same size from the population, at least 95% of the samples will contain the population mean. When constructing % confidence intervals for 2 samples of the same size from the population, exactly 95% of the samples must contain the population mean. There must have been an error with the way our samples were chosen. When constructing % confidence intervals for 29 samples of the same size from the population, the percentage of the samples that contain the population mean should be close to, but it may not be exactly 95% 35% condence intervas 8 1968