Question

It is reported that students at Y University use social media for an average of 2 hours per day. To investigate this, a random sample of 10 male and 10 female students was taken from Y University, and their daily social media usage time was recorded as follows: Male 4.5 1.4 2.0 1.2 4.0 0.8 1.2 3.4 1.4 2.4 Female 2.1 1.1 1.1 2.5 4.4 3.9 2.6 2.8 3.6 4.4 Assume that the daily usage time of social media follows a normal distribution, with population variances ?_Male² = 2 and ?_Female² = 1.5 hours. Answer the following questions. Q1. It is claimed that the average daily social media usage time of male students at Y University is more than the overall student average of 2 hours. Test this claim at a 5% significance level. Step1) State the hypothesis Step2) State the significance level ? Step3) Calculate the test statistic Step4) Calculate the P-value and State your conclusion Q2. Test whether the average daily social media usage time of male and female students at Y University is the same, at a 1% significance level. Step1) State the hypothesis Step2) State the significance level ? Step3) Calculate the test statistic Step4) Calculate the P-value and State your conclusion

          It is reported that students at Y University use social media for an average of 2 hours per day. To investigate this, a random sample of 10 male and 10 female students was taken from Y University, and their daily social media usage time was recorded as follows:

Male
4.5 1.4 2.0 1.2 4.0 0.8 1.2 3.4 1.4 2.4

Female
2.1 1.1 1.1 2.5 4.4 3.9 2.6 2.8 3.6 4.4

Assume that the daily usage time of social media follows a normal distribution, with population variances ?_Male² = 2 and ?_Female² = 1.5 hours. Answer the following questions.

Q1. It is claimed that the average daily social media usage time of male students at Y University is more than the overall student average of 2 hours. Test this claim at a 5% significance level.

Step1) State the hypothesis
Step2) State the significance level ?
Step3) Calculate the test statistic
Step4) Calculate the P-value and State your conclusion

Q2. Test whether the average daily social media usage time of male and female students at Y University is the same, at a 1% significance level.

Step1) State the hypothesis
Step2) State the significance level ?
Step3) Calculate the test statistic
Step4) Calculate the P-value and State your conclusion

It is reported that students at Y University use social media for an average of 2 hours per day. To investigate this, a random sample of 10 male and 10 female students was taken from Y University, and their daily social media usage time was recorded as follows:

Male
4.5 1.4 2.0 1.2 4.0 0.8 1.2 3.4 1.4 2.4

Female
2.1 1.1 1.1 2.5 4.4 3.9 2.6 2.8 3.6 4.4

Assume that the daily usage time of social media follows a normal distribution, with population variances ?Male² = 2 and ?Female² = 1.5 hours. Answer the following questions.

Q1. It is claimed that the average daily social media usage time of male students at Y University is more than the overall student average of 2 hours. Test this claim at a 5% significance level.

Step1) State the hypothesis
Step2) State the significance level ?
Step3) Calculate the test statistic
Step4) Calculate the P-value and State your conclusion

Q2. Test whether the average daily social media usage time of male and female students at Y University is the same, at a 1% significance level.

Step1) State the hypothesis
Step2) State the significance level ?
Step3) Calculate the test statistic
Step4) Calculate the P-value and State your conclusion

Added by Hyungyu L.

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