Question

In: Statistics and Probability

We wish to compare three interventions for preterm infants, with regard to effects on the infants’...

We wish to compare three interventions for preterm infants, with regard to effects on the infants’ heart rates: Nonnutritive Sucking (NNS), Nonnutritive Sucking plus Rocking (NNSR), and Rocking (R). Nine infants are randomly assigned to six different orderings of the three treatments. Heart rate, the dependent variable, is measured after each treatment. The data are summarized in the following table.
(Click herefor the data set in Google Sheets)

NNS

NNSR

R

148

151

157

175

180

202

145

144

168

171

176

191

165

170

183

143

149

152

152

155

170

132

135

140

150

148

161



Using a 1% level of significance, test the claim that interventions do not influence infant heart rates (i.e. mean heart rates are equal for all three interventions).

Results:
p-value =  (round answer to nearest hundredth of a percent – 2.35%)

Conclusion:
We  sufficient evidence to support the claim that intervention type does influence infant heart rate (p  0.01). (Use “have” or “lack” for the first blank and “<” or “>” for the second

Solutions

Expert Solution

Groups Count Sum Average Variance
NNS 9 1378 153.1111 203.8611
NNSR 9 1408 156.4444 236.7778
R 9 1524 169.3333 388.5

One Way ANOVA:

(Atleast one is not equal)

Significant value= 0.01

The test statistic:

P-value= 0.11308

The test statistic is not significant and fail to reject H0. There is sufficient evidence to support the claim that the claim that interventions do not influence infant heart rates.


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