The probability of type I error is 0.5
Type II error is an error committed when we fail to reject the null hypothesis when actually it is false. The probability of Type II error is beta and 1 -beta gives the power of a test.
The probability of a Type I error is the probability of rejecting the null hypothesis when it is actually true. In this case;
pr(x>0 / mu =0)
If the mean is 0 and sigma 1 then x has the standard normal distribution. Now, if x has the standard normal distribution then pr(x>0) = 0.5 since the standard normal distribution curve is symmetric about the mean which in this case is 0.
last option: rhombus or kite
a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.
the formula for area of rhombus is given by:
here, d_1 is the first diagonal and d_2 is the second diagonal.
last option is the correct answer ..
you wish to test:...