Question

In: Statistics and Probability

You are a public health nurse that is interested in comparing the total blood cholesterol levels...

You are a public health nurse that is interested in comparing the total blood cholesterol levels in clients from different census tracts in the city that are enrolled in a community-based lifestyle program offer by the Public Health Department. Previous research has shown that cholesterol levels are generally normally distributed, and you have no reason to believe that the variances in cholesterol levels would differ across census tracts. The table below provides the data that you collected on cholesterol levels in clients enrolled in your program from four census tracts in the city. Assuming a 0.05 level of significance, can you conclude that cholesterol levels differ across the census tracts? If there is a difference, which census tracts differ from the others?

Area A	Area B	Area C	Area D
96	120	138	101
126	122	139	104
166	128	140	104
168	131	140	107
173	132	141	108
178	147	159	122
190	148	166	125
194	149	172	136
195	151	176	139
198	160	180	149
212	160	182	160
212	162	185	162
213	164	188	162
215	165	188	168
216	174	192	171
227	184	194	173
	185	194	174
	188	200	175
	192	202	180
	194	203	182
	197	206	182
	198	210	184
	201	215	184
	221	220	190
	224	222	191
	230	224	192
	242	230	193
	250	231	194
	251	232	195
		233	200
		237	206
		243	207
		245	207
		263	209
		274	210
		294	212
		307	215
		327	221
			224
			227
			229
			231
			239
			241
			248
			262
			317

Expert Solution

Here we have to test,

H0 : All census tracts are insignificant.

Vs H1 : At least one census tract differ significantly.

I had done this using MINITAB as follows -

stat - one way ANOVA as follows -

It opens the following window

Then click on option & click on appropriate as follows

To check which census track differ from other I had done Tuckey's test for that go in comparison as follows-

It gives output as follows-

From above output of ANOVA table we observe that P-value is 0.295 > l.o.s(0.05) . Thus, we accept H0 indicating there is no significant difference in census tracts.

Also from Tuckey's confidence interval

We observe that all confidence interval includes 0 . Thus , we accept H0 indicating that All census tract are insignificant. i.e. no census tracts differ significantly from other.

orchestra answered 1 year ago

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