Coronavirus or COVID-19 pandemic has shaken the world with its impact on human health and economies. To analyse whether the average number of new COVID-19 cases in Pakistan and Turkey is the same, an analyst takes a sample of the number of new cases from 17-31 May 2020 with the following information.

Sample	Mean	SD
Sample 1: Pakistan	2046.467	507.655
Sample 2: Turkey	1109.733	456.350

Using =0.05, the analyst performs the following hypotheses tests.

Note: For all the calculations, use 3 significant digits.

The F-test of equal population variances (homoskedasticity-equal spread)

a) Compute the following.

1. F_observed= Answer(Note: Use the largest value in the numerator)
2. p-value = Answer

b) Based on the p-value of the test, the analyst's decision is: AnswerDo not reject the null of homoskedasticityReject the null of homoskedasticity

The test of equality of population means

1. The null hypothesis, in this case, is H₀: ₁ Answer><= ₂,
2. The alternative hypothesis isH₁: ₁Answer#Wrong< ₂ and the test is Answera two-sided testa lower-sided testan upper-sided test,
3. The test statistic in this case is AnswertZJB because Answerpopulation variances are knownpopulation variances are unknown,
4. The distribution of this test statistic under H0 is AnswerN(0,1)Student's t because Answerno df requiredthe df30the df <30,
5. The observed value of the test statistic is Answer,
6. Critical values are (Lower value, Upper Value) = (Answer, Answer),
7. Decision:Since the observed value of the test statistic Answerfalls in the rejection region, therefore, there is enough statistical evidence to reject H0 of the equal average number of COVID-19 casesfalls in the non-rejection region, therefore, there is not enough statistical evidence to reject H0of the equal average number of COVID-19 cases.

The End