In: Statistics and Probability

What is an 80% confidence interval?

What does it mean for a confidence interval to be ‘equal tailed?’

What are the steps for obtaining a confidence interval?

**#** A Confidence Interval is a range of values we
are fairly sure our true value mean lies in.

A 80% confidence interval has a 0.80 probability of containing the population mean. Or 80% of the population distribution is contained in the confidence interval.

**#** Equal-tailed Confidence interval means when
for a given level of confidence the half of the area on the left
side and half of the area on the ride side are
equal.

For a confidence interval with level *C*, the area in
each tail of the curve is equal to (1-*C*)/2. For a 95%
confidence interval, the area in each tail is equal to 0.05/2 =
0.025.

# Steps for confidence interval:

- Write down the phenomenon you'd like to test.
- Select a sample from your chosen population.
- Calculate your sample mean and sample standard deviation. ...
- Choose your desired confidence level. For example lets say 90%
- Calculate your critical value for the test. For example for 90%
confidence interval,
_{ } _{Calculated your confidence interval}

- State your confidence interval.

What does a 95% confidence interval mean?

what does an asterik mean in a confidence interval mean for
statistics

Match the margin of error for an 80% confidence interval to
estimate the population mean with sigma σ equals=50
with its corresponding sample sizes.
Question 5 options:
a.) 8.07. 1.) n= 34
b.) 9.45 2.) n= 46
c.) 10.99 3.) n= 63

What is the benefit of using a confidence interval? What exactly
does a confidence interval do that a P value does not? I need this
to be clear because I am so confused.

Please do in Rstudio
**4) Find an 80% confidence interval for the mean number of hands
it takes to win a game of cards. "Cards" is a sample of the number
of hands it took to win a game at a tournament in Preston
Idaho**
```{r}
Cards<-c(18,10,10,12,13,16,17,14,15,10,13,16,18,19,19,18,16,15,13,14,19,12,11,11,15,13,10,19,15)
###Please do your work here###
##############################
```
**How would you interpret this confidence interval? Please type
your answer on the line below**
Answer:

What is the critical for a large sample confidence interval for
the mean with 98% confidence level?

Consider the phrase "confidence interval" - what does the word
"confidence" imply and what is the information provided by the word
"interval"?

construct an 80% confidence interval to estimate the population
mean when x= 52 and s=14.8 for the sample sizes below
a) n=15
b) n=45
c) n=55

Determine the 80% confidence interval estimate for the
population mean of a normal distribution given
n=100, σ=101, and x (with line over it)=1,200.
a. The 80% confidence interval for the population mean is from
_____ to _______.
!!!!!!!!PLEASE SHOW ME HOW TO SOLVE THIS ON EXCEL OR A TI-84
CALCULATOR!!!!!

Construct an 80% confidence interval to estimate the population
mean when x overbar=131 and s = 28 for the sample sizes below.
a) n=20
b) n=50
c) n=80

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