Exercise in R studio A company wants to play music in the...

Exercise in R studio A company wants to play music in the common room. To decide what kind of music, they ask us to study the effect of different types of music genres on people's productivity while working. We need to investigate whether there are significant differences in productivity between individuals listening to classical, jazz, pop and rock genres of music. Based on the data collected, can you find evidence that the type of music genre has a significant impact on people's productivity levels? Use the appropriate nonparametric method in R, with significance level = 0.05. Download the file \"music_data.csv\" to complete this exercise. Type of music genre has an effect on productivity because $W = 176$. Type of music genre has no effect on productivity because the test statistic is 10,785. Type of music genre has no effect on productivity because the test statistic is greater than the critical value. Type of music genre has an effect on productivity as the P value $p = 0.01295$.

Transcript

00:01 In this question they given here the question which is about testing of hypothesis now let us find out answer to the given question now let come to the solution here so which is implies that let us take that that is let new one represent average output which is average output for worker and similarly who listened so who listened to music and similarly here let me to represent that so average output for work cards so in this case without music and let us take the that that is the hypoor the first one null hypothesis this represents that mu1 is equal to mu two and alternative hypothesis maps here mu one greater than mu two so give the sample mean and standard deviation and the sides of the both of these hypothesis so which is here represents that so x1 bar is equal to 320 similarly the standard deviation the standard deviation s1 is equal to 10 and n1 sample size is equal to 8 and x2 bar is equal to 312 s2 is equal to 16 and n2 is equal to 8 here now we have to find out that is the test statistic which is given as test test statistic is in place that t is equal to x1 bar minus x2 bar which is divided by square root of here s1 squared divided by n1 plus s2 squared divided by n2 so we know the values of these terms from the above information let us uptude that here 320 minus 312 which is divided by square root of 10 whole square divided by 8 plus here 16 whole square by 8 so this value is almost similar to 1 .2 so that since the population distribution is unknown which is according to the test statistic value so now the p value here which is the p value is the probability which is the probability of obtaining which is of obtaining t score is greater than which is greater than 1 .2 with degree of freedom df is equal to 7 so using the t distribution according to this the p value is here is the p value which is equal to that is p of t greater than 1 .2 so by using the t distribution calculator this p value is 0 .1346 so here that is implies that the p value which is greater than significance level alpha value is equal to 0 .01 so in this case we fail to reject the null hypothesis so now we can conclude that that is therefore so we can conclude that here there is no sufficient evidence that music can increases the productivity which is the productivity of workers so this is the final answer...

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