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). Groups Sample Sample Sample size mean variance Normal hearing 20 2.15 0.2 Hearing aid 20 2.14 0.3 Some hearing loss 20 1.90 0.4 Send data to calculator 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. F= Variation between the samples Variation within the samples For the data summarized above, F 1.38. (a) Give the p-value corresponding to this value of the 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 this tone Yes O No