Find the critical value, assuming that the normal distribution applies.

Question

Right-tailed test, alpha = 0.02

a)

b)

c)

d)

e)

f)

The critical value(s) is
[ Select ]

Answer 1

To find the critical value for a right-tailed test with an alpha level (α) of 0.02, we need to use the standard normal distribution (Z-distribution).

1. Determine the significance level:

   • For a right-tailed test, we are looking for the Z value that corresponds to the area of 0.02 in the upper tail of the normal distribution.

2. Find the critical value:

   • We can look up the Z value that corresponds to a cumulative area of \( 1 - \alpha \) (which is \( 1 - 0.02 = 0.98 \)).
   • You can find this value using a Z-table or using a calculator or statistical software.

Using a Z-table or statistical software, we find:

• A cumulative area of 0.98 corresponds to a Z value of approximately 2.05.

Therefore, the critical value for a right-tailed test with \( \alpha = 0.02 \) is 2.05.

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