I asked about math problem

And yesterday, it was looking completely fine but now its looking like this

Problem 2: Statistics - Hypothesis Testing

Question: A sample of 50 students from a school has an average test score of 76 with a standard deviation of 8. Test the hypothesis that the mean score for the population is 75 at a 0.05 significance level.

Solution:

  1. State the hypotheses:
    [
    H_0: \mu = 75 \quad \text{(null hypothesis)}
    ]
    [
    H_a: \mu \neq 75 \quad \text{(alternative hypothesis)}
    ]

  2. Calculate the test statistic (use a t-test because the population standard deviation is unknown):
    [
    t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = \frac{76 - 75}{8/\sqrt{50}} = \frac{1}{8/\sqrt{50}} = \frac{1}{1.131} \approx 0.884
    ]