Quiz: Module 7 Quiz Time Remaining: 00:2620 Submit Quiz This Question: 1 pt 4 of

Question

Quiz: Module 7 Quiz Time Remaining: 00:2620 Submit Quiz This Question: 1 pt 4 of 10 (5 complete) This Quiz: 10 pts possible A scientist estimates that the mean nitrogen dioxide level in a city is greater than 32 parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The 24 40 22 21 18 25 25 26 24 22 21 results (in parts per billion) are listed to the right. Assume that the population standard deviation is 23 28 40 43 18 24 43 39 24 19 15 11 At : 0.12, can you support the scentist's estimate? Complete parts (a) through (e) 44 15 34 28 25 26 30 36 26 (a) Write the claim mathematically and identify Ho and Ha Choose from the following Ho : =32 Ha: > 32 (claim) Ho: = 32 (claim) Ha O A. Ho : 232 (claim) B. Hou 32 O c. Ha H-32 (dlaim) Ho us 32(claim) Ha -32 Ha :

Explanation / Answer

Solution:

a) Test Hypothesis:
H0: 32(claim)
Ha: > 32.

b) Given = 0.12, the critical value is |Z(0.12)|=1.18 (from standard normal table)

The rejection region is if Z>1.18

From the data x = 27.35, s = 8.41, n = 31, = 32

c) The test statistic is

Z=(xbar-mean)/(s/n)

= (27.35-32)/(8.41/sqrt(31))

= -3.0784

d) Since Z= -3.0784 is less than 1.18, Fail to reject Ho.
e) At the 12% significance leve, there are enough evidence to support the scientific claim that the mean nitrogen dioxide level in the city is greater than 32 parts per billion.

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