Confidence Interval On Ti 84
Aconfidence interval (C.I.)is a range of values that is probable to include a population parameter with a certain caste of confidence.
This tutorial explains how to calculate the post-obit confidence intervals on a TI-84 calculator:
- Confidence interval for a population hateful; σ known
- Confidence interval for a population mean; σ unknown
- Confidence interval for a population proportion
Example one: C.I. for a population mean; σ known
Find a 95% conviction interval for a population hateful, given the following data:
- sample mean 10 = xiv
- sample size n = 35
- population standard deviation = 4
Step ane: Choose Z Interval.
PressStat and so scroll over to TESTS. Highlight 7:ZIntervaland printingEnter.
Step 2: Fill in the necessary information.
The figurer will ask for the following information:
- Inpt:Choose whether yous are working with raw information (Data) or summary statistics (Stats). In this case, nosotros volition highlight Stats and printingENTER.
- σ: The population standard deviation. We will type 4 and pressENTER.
- x: The sample mean. We will type 14 and printingENTER.
- due north: The sample size. Nosotros will type 35 and pressENTER.
- C-level:The confidence level We will type 0.95 and pressENTER.
Lastly, highlight Calculate and pressENTER.
Step three: Interpret the results.
Once you pressENTER, the 95% confidence interval for the population mean will be displayed:
The 95% confidence interval for the population mean is(12.675, 15.325).
Example ii: C.I. for a population mean; σ unknown
Find a 95% confidence interval for a population mean, given the following data:
- sample mean x = 12
- sample size n = xix
- sample standard departure = vi.iii
Stride 1: Cull T Interval.
PressStat and so coil over to TESTS. Highlight 8:TIntervaland pressEnter.
Stride 2: Fill in the necessary information.
The calculator volition ask for the following information:
- Inpt:Choose whether y'all are working with raw data (Information) or summary statistics (Stats). In this case, we will highlight Stats and pressENTER.
- ten: The sample hateful. We volition blazon 12 and printingENTER.
- Sx: The sample standard deviation. Nosotros volition type 6.3 and pressENTER.
- n: The sample size. Nosotros will type nineteen and printingENTER.
- C-level:The confidence level Nosotros volition type 0.95 and printingENTER.
Lastly, highlight Summate and pressENTER.
Step iii: Interpret the results.
In one case yous pressENTER, the 95% confidence interval for the population mean will be displayed:
The 95% confidence interval for the population mean is(8.9635, 15.037).
Instance 3: C.I. for a population proportion
Notice a 95% confidence interval for a population proportion, given the post-obit information:
- number of "successes" (x) = 12
- number of trials (due north) = 19
Step one: Choose 1 Proportion Z Interval.
PressStat and then scroll over to TESTS. Highlight one-PropZIntand pressEnter.
Step 2: Fill in the necessary information.
The calculator will ask for the following data:
- x:The number of successes. We will type 12 and printingENTER.
- due north: The number of trials. We will type 19 and printingENTER.
- C-level:The confidence level We will type 0.95 and pressENTER.
Lastly, highlight Calculate and pressENTER.
Pace three: Translate the results.
Once yous pressENTER, the 95% confidence interval for the population proportion will exist displayed:
The 95% confidence interval for the population proportion is(0.41468, 0.84848).
Confidence Interval On Ti 84,
Source: https://www.statology.org/confidence-intervals-ti-84-calculator/
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