What Is a Confidence Interval?
Read this topicExplanations 3
- Confidence Interval A confidence interval (everything between the black brackets in the graph below) is a range of data of which is likely to contain the true value (orange squa…
By Paris, Anusha Rahman
- How To Calculate A Confidence Interval (CI) Depending on our sample size, our confidence interval formula will depend on values from either our Z-table or T-table. Additionally,…
By Paris, Anusha Rahman
- (Video) Confidence Intervals Animation by Statistical Learning Group Check out this video for a monster-themed explanation about how to calculate a confidence interval and what …
By Anusha Rahman
Problems 18
- Conceptual: What Value Is Always In Our Interval? You take a random sample from some population and form a 96% confidence interval for the population mean. Which quantity is gua…
- Conceptual: "True" Value for Large Populations Can we ever know the "true" value of our parameter of interest? For instance, if you were conducting a study on the proportion of …
- Calculation: Statistics University (Two-Sample Mean) A university wants to know more about the knowledge of students regarding international events. The are concerned that their…
- Calculation: AP Statistics Students (Two-Sample Mean) A standardized AP test is used to assess the knowledge of AP Statistics of 200 12th graders at Lynden High School (reported…
- Calculation: (One-sample mean with sample size >30) Given: n=n =n=sample size=35= 35=35 xˉ=\bar{x} =xˉ=sample mean =42= 42=42 σ=\sigma =σ= standard deviation =5= 5=5 confidence …
- Calculation: (one-sample mean n<30) Given: n=n =n=sample size=15= 15=15 xˉ=\bar{x} =xˉ=sample mean =207= 207=207 σ=\sigma =σ= standard deviation =17= 17=17 confidence level = 95…
- Calculation: (one sample proportion) During a Carnegie Mellon University health study there were 1219 participants being treated for hypertension and 2,313 who were not on treat…
- Calculation: (two sample proportion) A study of senior smartphone game usage included a sample of 96 men and 123 women between ages of 65 and 85 years. Smartphone game usage was…
- True or False\text{True or False}True or False === The more confident you want to be, the wider a confidence interval gets.
- True or False\text{True or False}True or False === The more confident you want to be, the narrower a confidence interval gets.
- True or False\text{True or False}True or False === A confidence interval is a range of data of which is likely to contain the true value of the parameter of interest within a st…
- True or False\text{True or False}True or False === A confidence interval is a range of data of which is NOT likely to contain the true value of the parameter of interest within …
- True or False\text{True or False}True or False === A parameter is an unknown number that describes an entire population. Some example of parameters are the median or average of …
- True or False\text{True or False}True or False === A parameter is an unknown number that describes a portion of a population (a sample). Some example of parameters are the media…
- Calculation: (one-sample mean n<30) Given: n=n =n=sample size=19= 19=19 xˉ=\bar{x} =xˉ=sample mean =64= 64=64 σ=\sigma =σ= standard deviation =5= 5=5 confidence level = 9999%99 …
- Calculation: (Two-Sample Mean) given: n1=35n_1 = 35n1=35 x1ˉ=100\bar{x_1} = 100x1ˉ=100 σ12=32=9\sigma_1^{2} = 3^{2} = 9σ12=32=9 n2=56n_2 = 56n2=56 x2ˉ=85\bar{x_2} = 85x2ˉ…
- Calculation: two sample mean given: x1ˉ=60\bar{x_1} = 60x1ˉ=60 n1=27n_1 = 27n1=27 s1=2s_1 = 2s1=2 x2ˉ=71\bar{x_2} = 71x2ˉ=71 n2=25n_2 = 25n2=25 s2=3s_2 = 3s2=3 Find the …
- given: x=37x = 37x=37 n=44n = 44n=44 Find the 90% confidence interval for the proportion p^=xn=3744\hat{p} = \frac{x}{n} = \frac{37}{44}p^=nx=4437