Question

Assume that the average volume of raindrops globally is normally distributed with mean 0.45 ml and variance 0.01 ml². Michael measures the volume of two raindrop at Rainyville as 0.65 ml and 0.75 ml; and comes to believe that the raindrops at Rainyville are significantly larger than the global average at the 5% level.

Match each of the following with its value.

1. Value of the Test Statistic

2. p value

3. Sample Mean

4. Sample Standard Deviation

5. Sample Size

6. Degrees of freedom

7. Critical values for the test

a. ±1.96

b. ±1.645

c. -1.645

d. -1.96

e. 3.5355

f. 1.645

g. 1

h. 0.7

i. 0.0628

j. less than .001

k. 0.0707

l. irrelevant

m. 5

n. 1.96

o. 2

Answer 1

Here n = 2 and data comes from normal population. Also population variance is known as 0.01

So we can use z test

Also from the claim it is right tailed test.

So answers are as

1 e

2 j

3 h

4 k

5 o

6 o

7 f