From a random sample of 16 students, the sample mean numbers of hours they self-study for classes each day was found to be 6 hours. If the population standard deviation is known to be 1.5, answer the following questions. a) Test at 5% significance level that population mean study hours is equal to 5 against it is not equal to 5. Write down the necessary components for this hypothesis test. Draw a figure explaining the test. b) Derive the p-value. Draw the figure. c) If the true population mean was 6.5, calculate Type II error. Draw the figure.

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From a random sample of 16 students, the sample mean numbers of hours they self-study for classes each day was found to be 6 hours. If the population standard deviation is known to be 1.5, answer the following questions.
a) Test at 5% significance level that population mean study hours is equal to 5 against it is not equal to 5. Write down the necessary components for this hypothesis test. Draw a figure explaining the test.
b) Derive the p-value. Draw the figure.

c) If the true population mean was 6.5, calculate Type II error. Draw the figure.

 
 

16 öğrenciden oluşan rastgele bir örneklemden, her gün sınıflar için kendi kendine çalıştıkları örnek ortalama saat sayısı 6 saat olarak bulundu. Popülasyon standart sapmasının 1,5 olduğu biliniyorsa, aşağıdaki soruları yanıtlayın.

 

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