Question

Please use Rstudio to answer the following. Thank you.

Sounds that are either a tone or a monkey call are fed into monkeys through electrodes attached to the brain. Of interest is a response measured by the firing rate (electric spikes per second). It is believed there are more spikes associated with calls than with tones.

a. Use a paired test to analyze the data. Summarize results giving test statistics, df, p-value, and state null and alternative hypotheses. Note this should be one-sided. Give a one-sentence description of results

a.1 Plot differences to evaluate the normality assumptions, comment on the graph.

a.2. Provide a confidence interval for the difference and interpret the interval.

Tone	Call
474	500
256	138
241	485
226	338
185	194
174	159
176	341
168	85
161	303
150	208
145	42
141	241
129	194
113	123
112	182
102	141
100	118
74	62
72	112
71	134
68	65
59	182
59	97
57	318
56	201
47	279
46	62
41	84
35	103
31	70
28	192
26	203
26	135
21	129
20	193
20	54
19	66

Answer 1

> datas-read.csv(file.choose() >data names (data) [1] "Tone""Cal1" > ## a) we have to use here paired test > ## to test: assume H0 : difference is equal to zero vs > ## here we can use direct command > t.test (dataSTone, dataSCall, alternative-"less "paired-T,conf. level-0.95 H1: Differece is less than zero ## for less than test Paired t-test data: data$Tone and dataSCall t4. 8402, df 36, p-value1.223e-05 alternative hypothesis: true difference in means is less than 0 95 percent confidence interval: nt -45.82964 sample estimates: mean of the differences -70. 37838 > ## conclusion : here t statistic value is -4.8402 and p value is 0 > ## we know that if p value is less than alpha value then we reject H0 here we reject HO ie we accept H1.