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Psychologists in Montreal and Toronto conducted a study to determine if babies s

ID: 3313280 • Letter: P

Question

Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise.1 Fifty infants between the ages of 4-13 months were exposed to both happy-sounding infant speech and a hummed lullaby by the same woman. Interest in each sound was measured by the amount of time the baby looked at the woman while she made noise. The mean difference in looking time was 27.79 more seconds when she was speaking, with a standard deviation of 63.18 seconds. Perform the appropriate test to determine if this is sufficient evidence to conclude that babies prefer actual speaking to humming.

1Corbeil, M., Trehub, S.E., Peretz, I., “Speech vs. singing; infants choose happier sounds,” Frontiers in Psychology, 25 June, 2013.

State the null and alternative hypotheses.

Use 1 for d in the response area.

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Calculate the relevant test statistic.

Round your answer to three decimal places.

the absolute tolerance is +/-0.02

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the absolute tolerance is +/-0.0005

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Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise.1 Fifty infants between the ages of 4-13 months were exposed to both happy-sounding infant speech and a hummed lullaby by the same woman. Interest in each sound was measured by the amount of time the baby looked at the woman while she made noise. The mean difference in looking time was 27.79 more seconds when she was speaking, with a standard deviation of 63.18 seconds. Perform the appropriate test to determine if this is sufficient evidence to conclude that babies prefer actual speaking to humming.

1Corbeil, M., Trehub, S.E., Peretz, I., “Speech vs. singing; infants choose happier sounds,” Frontiers in Psychology, 25 June, 2013.

Explanation / Answer

here std error of mean -std deviaiton/(n)1/2 =63.18/(50)1/2 =8.935

t-statistic= =d/std error =27.79/8.935 =3.110

for above test statsitic and (50-1=49) degree of freedom ; p value =0.0016

as p value is very low; Reject H0.

Yes

Please revert for any clarificaiton required

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