Household data from two U.S. states (New York and Tennessee) indicate the weekly expenditure in US dollars on internet p

[answerhappygod]

Household Data From Two U S States New York And Tennessee Indicate The Weekly Expenditure In Us Dollars On Internet P 1 (333.45 KiB) Viewed 28 times

Household data from two U.S. states (New York and Tennessee) indicate the weekly expenditure in US dollars on internet purchases before and during the pandemic caused by COVID. Five households are sampled from each state. X1 and X2 are denoted as the weekly internet purchases of a household in New York before and during pandemic respectively. Y1 and Y2, are denoted for a household in Tennessee. The four variables follow normal distributions but with unequal variances. The table below displays the collected data from these households. household household During pandemic (Y) 25 New York Before pandemic (x) 10 15 25 35 40 Tennessee Before pandemic (Y) 10 10 15 1 2 3 4 During pandemic (x2) 10 35 30 50 70 1 2 3 4 5 40 30 50 15 5 15 70 The R outputs below show the descriptive statistics: Variable Sample size X 5 X₂ 5 Y 5 Y2 5 Sample mean 25 39 13 43 Sample standard deviation 12.75 22.47 2.74 17.89 a) Can we claim that the mean household weekly internet expenditure in Tennessee during the pandemic is below 70 dollars? That is to test Ho: My, = 70 against H4: Hy< 70. Find a suitable critical region and use it to conclude the test at 0.1 significance level. b) Can we claim that the mean household weekly internet expenditure in New York has increased by more than 10 dollars due to pandemic? That is to test Ho: Mxz - Mx2 = 10 against Hy: Mxz - Hx>10. Determine the p-value and use it to conclude the test at 0.02 significance level. c) Can we claim that the weekly internet expenditure of the households in the two states are different before pandemic hit? That is to test Ho: Hx, = Hly, against Hz: Hx, Hyy. Find a suitable confidence interval to conclude the test at 0.05 significance level.