See attached **Educational Website Content****Topic: Hypothesis Testing for Population Mean**---**Example Scenario:**In Country A, the population mean height for 10-year-old girls is 54.9 inches with a standard deviation of 1.9 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken, and these girls had a sample mean height of 53.5 inches with a standard deviation of 2.2 inches. Assume that heights are normally distributed. Complete parts (a) through (c) below.**Part (a): Hypothesis Testing****Objective:** Determine whether the population mean height for 10-year-old girls from Country B is significantly different from the Country A population mean, using a significance level of 0.05.**Steps for Hypothesis Testing:**1. **Formulate the Null and Alternative Hypotheses:** Choose the correct pair of null and alternative hypotheses from the following options: - A. \( H_0: \mu = 54.9 \) and \( H_a: \mu = 54.9 \) - B. \( H_0: \mu = 54.9 \) and \( H_a: \mu < 54.9 \) - C. \( H_0: \mu = 54.9 \) and \( H_a: \mu > 54.9 \) - D. \( H_0: \mu = 54.9 \) and \( H_a: \mu = 54.9 \) - E. \( H_0: \mu = 54.9 \) and \( H_a: \mu > 54.9 \) - F. \( H_0: \mu = 54.9 \) and \( H_a: \mu ≠ 54.9 \) *(Correct Answer)*2. **Verify Conditions for t-Distribution:** - The sample is **random**. - The observations are **independent**. - The distribution of the heights is **normally distributed**. With these conditions met, the test statistic will follow a t-distribution.3. **Calculate the Test Statistic:** - Use the formula for the t-statistic: \( t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \) - Where:

The following information has been provided: The population mean is μ=54.9. The population standard…

In Country A, the population mean height for 10-year-old girls is 54.9 inches with a standard deviation of 1.9 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 53.5 inches with a standard deviation of 2.2 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country population mean. Use a significance level of 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho H 54.9 H₂ μ> 54.9 OB. Ho 54.9 H₂H<54.9 OC. Ho: 54.9 H₂=54.9 OD. Ho: <54.9 OE. Ho: μ#54.9 H₂H 54.9 H₂H 54.9 F. Hop=54.9 H₂ 54.9 Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations are independent. The distribution of the heights is Normally distributed. Find the test statistic. t=(Round to two decimal places as needed.)