In: Statistics and Probability
I am very lost on this. If there is an Excel formula I could use, that would help tremendously. Thank you... Create confidence intervals related to the interval and ratio-level data you collected. |
1. What is the best estimate of the population mean |
2. Develop a 95% confidence interval for the population mean. Develop a 90% confidence interval for the population mean. Develop a 98% confidence interval for the population mean. |
3. Interpret the confidence interval. |
Create an individual Excel document for each of the required items. |
APA format is not required, but solid academic writing is expected. I have all my numbers but I am very unsure of how to go about this. Is there an Excel formula to calculate this. Here are my numbers: Breakfast I came up with the mean as 4.4505 |
$1.07 |
$1.59 |
$1.81 |
$2.13 |
$2.14 |
$2.45 |
$2.88 |
$3.21 |
$3.40 |
$3.51 |
$3.63 |
$3.73 |
$3.84 |
$4.27 |
$4.28 |
$4.70 |
$4.90 |
$5.33 |
$5.34 |
$5.35 |
$5.54 |
$5.66 |
$5.76 |
$5.77 |
$6.09 |
$6.30 |
$6.42 |
$6.62 |
$6.73 |
$6.92 |
$6.94 |
$7.03 |
$7.47 |
$7.48 |
$7.69 |
$7.78 |
$8.25 |
$8.43 |
$8.66 |
$11.32 |
$11.52 |
$13.25 |
$13.89 |
$15.95 Lunch I came up with the mean as 7.9955 |
2.13 |
2.99 |
4.15 |
4.27 |
4.28 |
4.28 |
4.28 |
4.47 |
5.21 |
5.33 |
5.35 |
5.35 |
5.35 |
5.35 |
5.54 |
5.65 |
5.75 |
5.87 |
6.29 |
6.39 |
6.41 |
6.42 |
6.42 |
6.42 |
6.42 |
6.42 |
6.51 |
6.51 |
6.71 |
7.05 |
7.05 |
7.05 |
7.35 |
7.45 |
7.56 |
7.69 |
7.80 |
7.80 |
8.01 |
8.11 |
8.22 |
8.22 |
8.86 |
8.96 |
9.26 |
9.35 |
9.37 |
9.39 |
9.82 |
11.01 |
11.10 |
11.41 |
11.73 |
12.17 |
13.57 |
15.34 |
15.78 |
16.22 |
18.28 |
22.21 |
Sol:
in excel
install analysis toolpak an then go to
Data >data analysis>Descriptive statistcs
you will get
Breakfast | lunch | ||
Mean | 6.068864 | Mean | 7.995167 |
Standard Error | 0.495797 | Standard Error | 0.484616 |
Median | 5.71 | Median | 7.05 |
Mode | #N/A | Mode | 6.42 |
Standard Deviation | 3.288743 | Standard Deviation | 3.753818 |
Sample Variance | 10.81583 | Sample Variance | 14.09115 |
Kurtosis | 1.370727 | Kurtosis | 3.306239 |
Skewness | 1.075678 | Skewness | 1.642936 |
Range | 14.88 | Range | 20.08 |
Minimum | 1.07 | Minimum | 2.13 |
Maximum | 15.95 | Maximum | 22.21 |
Sum | 267.03 | Sum | 479.71 |
Count | 44 | Count | 60 |
From the above table take .,mean,standard deviaton,sample size.
use confidence.t to get the margin of error
and
90% confidence interval as sample mean-margin of error,sample mean+margin of error
sample mean for breakfast is 6.068864
sample mean for lumch is 7.995167
to get the confidence intervals for breakfast in excel
margin of error
=CONFIDENCE.T(0.1;3.288743;44)
=0.833469243
sample mean=xbar | 6.068864 |
margin of error | 0.833469 |
90% lower limit of mean for breakfast | 5.235394 |
90% upper limit of man for breakfast | 6.902333 |
margin f error for 95%==CONFIDENCE.T(0.05;3.288743;44)=0.999869
sample mean=xbar | 6.068864 | |
margin of error | 0.999869 | |
95% lower limit of mean for breakfast | 5.068994 | |
95% upper limit of man for breakfast | 7.068733 |
similarly 98% margin of error as
=CONFIDENCE.T(0.02;3.288743;44)
=1.197968748
sample mean=xbar | 6.068864 |
margin of error | 1.197969 |
98% lower limit of mean for breakfast | 4.870895 |
98% upper limit of man for breakfast | 7.266832 |