**Statistical Significance Testing**Complete parts (a) through (c) below:(a) Determine the critical value(s) for a right-tailed test of a population mean at the α = 0.05 level of significance with 15 degrees of freedom.(b) Determine the critical value(s) for a left-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of n = 10.(c) Determine the critical value(s) for a two-tailed test of a population mean at the α = 0.01 level of significance based on a sample size of n = 11.- Click here to view the t-Distribution Area in Right Tail.**Input Area:**(a) t_crit = [dropdown] [input box] (Round to three decimal places as needed.) This is a T-Distribution Table showing the area in the right tail. It is typically used in statistical analyses to determine the critical t-values for different confidence levels and degrees of freedom.### Structure of the Table:- **Rows**: Represent the degrees of freedom (df), ranging from 1 to 1000.- **Columns**: Represent different significance levels corresponding to the area in the right tail: - 0.25 - 0.20 - 0.15 - 0.10 - 0.05 - 0.025 - 0.02 - 0.01 - 0.005 - 0.0025 - 0.001 - 0.0005### Explanation:- As the degrees of freedom increase, the t-values generally decrease, converging towards a normal distribution curve.- Each cell in the table provides the t-value for the specified degree of freedom and significance level.### Usage:The table is integral in hypothesis testing, particularly in t-tests involving small sample sizes:- **Step 1**: Determine the degrees of freedom for your test.- **Step 2**: Identify the significance level for your test.- **Step 3**: Locate the intersection of the respective row and column to find the critical t-value.This table assists in deciding whether to accept or reject the null hypothesis.

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Description: **Statistical Significance Testing**Complete parts (a) through (c) below:(a) Determine the critical value(s) for a right-tailed test of a population mean at the α = 0.05 level of significance with 15 degrees of freedom.(b) Determine the critical val

(a) Given that, Level of significance α=0.05 Degrees of freedom is 15 Critical value: Using t table,…

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Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.05 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n= 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.01 level of significance based on a sample size of n = 11.

Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.05 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n= 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.01 level of significance based on a sample size of n = 11.

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Author:Amos Gilat

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**Statistical Significance Testing**

Complete parts (a) through (c) below:

(a) Determine the critical value(s) for a right-tailed test of a population mean at the α = 0.05 level of significance with 15 degrees of freedom.

(b) Determine the critical value(s) for a left-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of n = 10.

(c) Determine the critical value(s) for a two-tailed test of a population mean at the α = 0.01 level of significance based on a sample size of n = 11.

- Click here to view the t-Distribution Area in Right Tail.

**Input Area:**

(a) t_crit = [dropdown] [input box] (Round to three decimal places as needed.)

This is a T-Distribution Table showing the area in the right tail. It is typically used in statistical analyses to determine the critical t-values for different confidence levels and degrees of freedom.

### Structure of the Table:
- **Rows**: Represent the degrees of freedom (df), ranging from 1 to 1000.
- **Columns**: Represent different significance levels corresponding to the area in the right tail:
- 0.25
- 0.20
- 0.15
- 0.10
- 0.05
- 0.025
- 0.02
- 0.01
- 0.005
- 0.0025
- 0.001
- 0.0005

### Explanation:
- As the degrees of freedom increase, the t-values generally decrease, converging towards a normal distribution curve.
- Each cell in the table provides the t-value for the specified degree of freedom and significance level.

### Usage:
The table is integral in hypothesis testing, particularly in t-tests involving small sample sizes:
- **Step 1**: Determine the degrees of freedom for your test.
- **Step 2**: Identify the significance level for your test.
- **Step 3**: Locate the intersection of the respective row and column to find the critical t-value.

This table assists in deciding whether to accept or reject the null hypothesis.

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