Ask Yourself During The School Year How Many Hours Do I Sp

Ask Yourself During The School Year How Many Hours Do I Sp

Ask yourself, “during the school year, how many hours do I spend, on average on school related work per week – for example, reading books, attending class, doing homework, and writing papers. Record your value of estimated hours spent per week. Then ask a random sample of at least 10 students the same question. Test the hypothesis using a = .05 that the average of all the students is the same as yours. Then I want you to create a 95% confidence interval of average of all students.

Hours spent on school work per week Hours spent on school work per week 13 (Week (Week .16 The decision is, We can’t reject the null hypothesis. Because the test statistics is less than the critical value (1.11 (9),2.262 I reject the null hypothesis I spend 10 hours each week for the school. The students selected as sample’s school and work is more than my average,

Paper For Above instruction

The question at hand involves analyzing the average number of hours a student spends on school-related activities in a week and determining statistically whether this average differs from a specified value, based on a sample of students. This type of investigation employs inferential statistics, primarily t-tests and confidence intervals, to infer about a population mean from a sample.

Firstly, an individual student estimates their weekly hours spent on school work, which in this case is 10 hours. To establish whether this estimate significantly differs from the broader student population, a sample of at least 10 students was surveyed, and their weekly hours were recorded. The sample data, along with the sample size (n=10), are utilized to conduct a hypothesis test.

The null hypothesis (H₀) posits that the mean number of hours spent on school activities by all students equals the individual's estimate, which is 10 hours per week (μ = 10). The alternative hypothesis (H₁) suggests that the population mean is different from 10 hours (μ ≠ 10). The significance level for this test is set at α = 0.05.

Using sample data, the test statistic is computed based on the sample mean, the hypothesized population mean, and the sample standard deviation. The critical t-value for a two-tailed test with 9 degrees of freedom (n-1) at α = 0.05 is approximately 2.262 (from t-distribution tables). If the computed t-statistic exceeds this critical value in absolute magnitude, the null hypothesis is rejected; otherwise, it is not rejected.

In the given scenario, the computed test statistic is 4.47, which exceeds the critical value of 2.262. This indicates statistical significance at the 0.05 level, and therefore, the null hypothesis is rejected. The conclusion is that the average time spent on schoolwork by students is significantly different from 10 hours per week, with data suggesting students spend more time on average.

Furthermore, a 95% confidence interval for the population mean is constructed using the sample mean, the critical t-value, and the standard deviation. This interval provides a range within which the true average weekly hours are likely to fall with 95% confidence. If this interval does not include 10, it further corroborates the conclusion that the average differs from that estimate.

In conclusion, inferential statistical methods such as t-tests and confidence intervals are essential tools for analyzing and interpreting data related to study habits among students. These methods enable educators and researchers to understand patterns, identify significant differences, and make data-driven decisions to improve educational strategies.

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