perform loudness judgments for tones of different frequencies For each listener the output of these judgments is a number measured in sones that gives the loudness of the tone relative to the loudness of a reference tone You have in front of you data from an experimental study in which 60 listeners were asked to perform such loudness judgments for tones of various intensities and frequencies Of these 60 listeners 20 had normal hearing 20 used hearing aids and 20 had some hearing loss at low frequencies but didn t use hearing aids Here is a summary of the data obtained for a 50 dB SPL 500 Hz tone the data are the sone values corresponding to this tone Sample Sample size mean Groups Normal hearing 20 Hearing aid 20 Some hearing loss 20 Send data to calculator V F 2 15 2 14 1 90 Sample variance 0 2 0 3 Variation between the samples Variation within the samples For the data summarized above F 1 38 0 4 Send data to Excel Are there differences in the mean sone values for this tone for the populations of listeners with normal hearing listeners with hearing aids and listeners with low frequency hearing loss We can perform a one way independent samples ANOVA test to answer this question Such a test uses the following statistic a Give the p value corresponding to this value of the 10 F statistic Round your answer to at least three decimal places b Based on these data and using the 0 05 level of significance should you conclude that there are Juan for this tone O Yes O No X