Are you a business analyst or a data science enthusiast? Do you work with a large amount of data? Then, youâ€™ve come across a statistical term **Confidence Interval** obviously somewhere in your job. Here, we will take you through 3 easy and convenient methods with detailed steps on how to find the confidence interval in Excel for two samples.

**Table of Contents**Expand

## Confidence Interval: Basics

First, we need to clarify what a confidence interval is before moving on. The probability of a mean value occurring within a spectrum of values is determined by the confidence interval. We determine theÂ level of certainty and uncertainty of a sample using it. Â The forecast seems to be more precise if the interval is minimal.

Letâ€™s discuss it in more detail now. It is impractical to conduct research with a large number of participants by taking each one individually at a time. Because of this, we can assume that a small sample size accurately represents the overall population. The determination of the confidence interval can then be taken into consideration. It might assist the developer in comprehending user needs when creating an app.

## Generic Formula to Calculate Confidence Interval

We can use the standard error to compute the confidence interval. A better prediction may occur when the error level is relatively lower. A larger dataset will yield results that are far more precise. For example, in this case, letâ€™s say we are building an app for a big audience. Itâ€™s not possible to take assessments from all of the end users. In this certain situation, we must consider a few individuals and their perspectives. These suggestions can help to improve the app. The confidence interval takes into account the circumstance and provides a limit that enables us to identify which users of which ages are contented with the application. Designers can distribute the program to selected users so they can provide reviews after experiencing it. Conclusively, we can rely on the populationâ€™s general situation.

The confidence interval has the key benefit of not taking as much time as hypothesis testing. It is also much simpler to interpret. We can use the formula below to determine the confidence interval:

`CI = Z`

_{c }`* (S / âˆš n )`

Here, **CI** = Confidence Interval

**Z**** _{c}** = Z Value for Confidence Level

**S**= Standard Deviation

**n**= Number of Elements in a Sample

## How to Find Confidence Interval in Excel for Two Samples: 3 Creative Methods

To find the confidence interval in Excel for two samples, we have found 3 different and effective methods through which you can have complete knowledge. In this article, weâ€™ll utilize several Excel functions and also will use the Data Analysis tool. All of these methods are very effective and user-friendly. To have a better understanding, weâ€™re using the **Comparison of **Delivery** Service** of a certain product. Here, the dataset contains the **Product** name, two **E-Commerce Sites** from where the product has been ordered and the **Estimated Delivery Time **(in hours) in columns **B**, **C**, and **D** respectively.

Now, weâ€™ll calculate the confidence interval for these two samples in Excel. So, without further delay, letâ€™s go through the approaches one by one.

Here, we have used *Microsoft Excel 365* version, you may use any other version according to your convenience.

### 1. Finding Confidence Interval Using Generic Formula

The foundation of our first approach is the generic formula. With this approach, we hope to obtain the desired result by applying the fundamental formula of the confidence interval. To do this, we need to calculate the standard deviation, **z** value, and the number of elements in a sample. So, follow the steps carefully.

**ðŸ“Œ**** Steps:**

- At the very beginning, weâ€™ll calculate the mean value of the sample.
- To do this, select cell
**D8**and insert the following formula into the**Formula Bar**.

`=AVERAGE(D5:D6)`

Here, **D5:D6** cells represent the cell reference of **Estimated Delivery Time** for the two **E-Commerce Sites**. And the **AVERAGE function** returns the average value of a given argument.

- Then, press
**ENTER**.

- Then, we must determine the standard deviation inserting the
**STDEV.S function**. - In order to do this, select cell
**D9**first. - After that, enter the following formula.

`=STDEV.S(D5:D6)`

- Lastly, hit
**ENTER**.

- Next, we need to compute the
**z**value for the given level of confidence. Typically, we utilize the confidence level of*95%**.*The z value for a*95%*confidence level is**1.96**.Â When you have a different level of confidence, you must use the**z-value chart**to locate it.

- In this case, the sample size is
**2**because it has only two elements. - In cell
**D13**, write down the formula stated below.

`=D10*(D9/SQRT(D11))`

Itâ€™s just the Excel version of the generic formula we stated above.

- Consequently, tap the
**ENTER**key.

- Then, we must either add or subtract the confidence value from the mean value in order to obtain the confidence interval. Calculate the lower confidence value by subtracting the confidence value from the mean value and add the confidence value to get the upper confidence interval.

**Read More:Â **How to Calculate Confidence Interval in Excel

### 2. Using CONFIDENCE Function

In this approach, weâ€™ll use the **CONFIDENCE function** as the foundation of our strategy. This function takes ** alpha**,

**, and**

*standard_dev***as arguments. As a result, it returns us the confidence value of the sample. In this case, it uses the normal distribution. In this method, we will use the mean, standard deviation, and alpha to find the desired confidence value. To understand the method properly, follow the steps carefully.**

*size***ðŸ“Œ**** Steps:**

- At first, calculate the Mean value and
**Standard Deviation**just like we did in Method 1. - Secondly, write down the confidence level of
**95%**in cell**D10**.

- Thirdly, select cell
**D11**and paste the following formula.

`=1-D10`

Here, **D10** serves as the cell reference of the confidence level of **95%**. Basically, we get the value of **Alpha** by subtracting the confidence level from **1**.

- At this moment, weâ€™re working on getting the
.*Confidence Value* - For this purpose, go to cell
**D13**and put in the following formula.

`=CONFIDENCE(D11,D9,D12)`

- Subsequently, press
**ENTER**.

- Then, get the
just like Method 1.*Confidence Interval*

**Read More:Â **How to Calculate 90 Percent Confidence Interval in Excel

### 3. Utilizing Data Analysis ToolPak

In our last method, weâ€™ll use the Data Analysis tool. To show this method, we need to enable the **Analysis ToolPak** from **Excel Add-ins**. After that, we will be capable of using this tool. This tool will help us to get the much-needed result utilizing **this** dataset. So, follow the steps carefully.

**ðŸ“Œ**** Steps:**

- First of all, proceed to the
**File**tab.

- Then, select
**Options**from the menu.

- Immediately, the
**Excel Options**window pops up. - Here, go to the
**Add-ins**tab. - Then, we can find the
**Manage**drop-down list. - From there, select
**Excel Add-ins**. - After that, click on
**Go**.

- Instantly, the
**Add-ins**dialog box opens. - Subsequently, check the boxes of
**Analysis ToolPak**and**Solver Add-in**. - Later, click
**OK**.

- Next, return the worksheet
**Data Analysis**. - Then, jump to the
**Data**tab. - Following this, select the
**Data Analysis**tool in the**Analyze**group.

- Suddenly, it opens the
**Data Analysis**dialog box. - Here, select
**Descriptive Statistics**. - As always, click
**OK**.

- Presently, the
**Descriptive Statistics**Wizard is appearing on display. - Now, put the cell reference
**D5:D6**in the**Input Range**box under the**Input**options. - Therefore, give cell reference cell
**B8**in the**Output Range**box under the**Output options**. - After that, tick the boxes of
**Summary statistics**and**Confidence Level for Mean**. - Lastly, click
**OK**.

- As a result, we will get the following summary, where the
**Data Analysis**tool calculates the*confidence value*. Just see the screenshot below.

## How to Find the Upper and Lower Limits of a Confidence Interval in Excel

In this section, weâ€™ll find the upper and lower limits of the confidence interval using the dataset above. Itâ€™s simple & easy, just follow along.

**ðŸ“Œ**** Steps:**

- Initially, calculate the
*Confidence Value*and*Confidence Interval*just like Method 2.

- To determine the
**Upper Limit**, add the*confidence value*with the*mean*value. - For this purpose, select cell
**D15**and enter the following formula into that cell.

`=D8+D13`

- Thus, press
**ENTER**.

- Simply, subtract the
*confidence value*from the*mean*value to calculate the**Lower Limit**. The formula to use in Excel is the following.

`=D8-D13`

## How to Calculate 90% or 95% Confidence Interval in Excel

In our previous 3 methods, we found the *confidence interval* for *confidence level* of 95%. Here in this section, weâ€™ll do the same task for the **90%** *confidence level*. So, letâ€™s see the process below.

**ðŸ“Œ**** Steps:**

- Just go to Method 2 and change the
*Confidence Level*to 90%. - Other calculations will be done automatically, and Excel will give the desired result in a blink of an eye.

Also, you can follow the Calculating 90% Confidence Interval in Excel article to explore the same task extensively.

## Practice Section

To practice by yourself, we have provided a **Practice** section like below in each sheet on the right side. Please do it by yourself.

You may download the following Excel workbook for better understanding and practice yourself.

## Conclusion

This article provides easy and brief solutions to find the confidence interval in Excel for two samples. Donâ€™t forget to download the Practice file. Thank you for reading this article, we hope this was helpful. Please let us know in the comment section if you have any queries or suggestions.

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