Answer :
Perform a one-sample t-test to compare IQ scores of brunette students with other students, using a significance level (α) of 0.05 to determine statistical significance.
To determine whether brunette students have a higher IQ score than other students, you conducted an IQ test on a random sample of 300 brunette students. The national average IQ score for all students is 100. In your sample, you found that the average IQ score for brunette students was 101, with a standard deviation of 12 points.
To determine the statistical significance of this difference, you need to perform a hypothesis test. The null hypothesis, denoted as H0, states that there is no difference in the mean IQ scores between brunette students and the population average (100). The alternative hypothesis, denoted as Ha, states that there is a difference.
You can perform a one-sample t-test to compare the sample mean (101) to the population mean (100). The level of significance, denoted as α, is not provided in the question. It is usually set to a specific value such as 0.05 or 0.01.
Using the t-test, you can calculate the test statistic and compare it to the critical value from the t-distribution. If the test statistic falls in the critical region, you reject the null hypothesis and conclude that there is a statistically significant difference in the mean IQ scores of brunette students compared to the population average.
To determine if brunette students have a higher IQ score, conduct a one-sample t-test. Set the null hypothesis (H0) as no difference and the alternative hypothesis (Ha) as a difference. Calculate the test statistic using the sample mean (101), population mean (100), and sample standard deviation (12). Compare the test statistic to the critical value from the t-distribution, using the significance level (α). If the test statistic falls in the critical region, reject H0 and conclude a significant difference. The level of significance (α) is not given, so select a common value like 0.05. If the test statistic falls in the rejection region, conclude that brunette students have a significantly higher IQ score.
To know more about statistical significance visit:
https://brainly.com/question/31577270
#SPJ11
Final answer:
To determine if brunette students have a higher IQ score than other students, a hypothesis test can be conducted. The null hypothesis states there is no difference in IQ scores between brunette students and other students. A one-sample t-test can be performed using the provided data.
Explanation:
To determine if brunette students have a higher IQ score than other students, a hypothesis test can be conducted. The null hypothesis (H0) is that there is no difference in IQ scores between brunette students and other students, while the alternative hypothesis (Ha) is that brunette students have a higher IQ score. A one-sample t-test can be performed using the sample mean of 101, the population mean of 100, and a standard deviation of 12. The level of significance, denoted as alpha (α), is needed to determine the critical value for rejecting the null hypothesis.
In this case, the level of significance (α) is not given; therefore, it is not possible to calculate the critical value or make a conclusion about the Brunette students' IQ scores.
Learn more about Hypothesis Testing here:
https://brainly.com/question/31665727
#SPJ2
