Researchers studying pleasant touch sensations measured the firing frequency (impulses per second) of nerves that were stimulated by a light brushing stroke on the forearm and also recorded the subject's numerical rating of how pleasant the sensation was. The accompanying data was read from a graph in a paper Firing Frequency Pleasantness Rating 23 24 22 25 26 34 34 35 34 0.3 1.0 1.2 1.2 1.0 2.0 2.3 2.2 2.3 2.7 (a) Estimate the mean change in pleasantness rating associated with an increase of 1 impulse per second in firing frequency using a 95% confidence interval. (Use technology or the Distribution Calculators page in SALT to find the critical value. Round your answers to three decimal places.) x.x) Interpret the resulting interval We are 95% confident that the mean change in firing frequency associated with an increase of 1 in pleasantness rating is in this interval. O We are 95% confident that the mean change in firing frequency associated with an increase of 1 in pleasantness rating is outside this interval. We are 95% confident that the mean change in pleasantness rating associated with an increase of 1 impulse per second in firing frequency is outside this interval We are 95% confident that the mean change in pleasantness rating associated with an increase of 1 impulse per second in firing frequency is in this interval. (b) Carry out a hypothesis test using a 0.05 to decide if there is convincing evidence of a useful linear relationship between firing frequency and pleasantness rating. Calculate the test statistic. (Round your answer to two decimal places.) +-x Use technology to find the P-value for this test. (Round your answer to four decimal places.) P-value- x What can you conclude? 10 Fail to reject H. We have convincing evidence of a useful linear relationship between firing frequency and pleasantness rating. Fall to reject H. We do not have convincing evidence of a useful linear relationship between firing frequency and pleasantness rating. Reject H. We have convincing evidence of a useful linear relationship between firing frequency and pleasantness rating. O Reject H. We do not have convincing evidence of a useful linear relationship between firing frequency and pleasantness rating. x ✓

Researchers studying pleasant touch sensations measured the firing frequency (impulses per second) of nerves that were stimulated by a light brushing stroke on the forearm and also recorded the subject's numerical rating of how pleasant the sensation was. The accompanying data was read from a graph in a paper. Firing Frequency 23 24 22 25 28 27 34 32 37 34 Pleasantness Rating 0.1 1.0 1.2 1.2 1.0 2.0 2.3 2.2 2.5 2.7 (a) Estimate the mean change in pleasantness rating associated with an increase of 1 impulse per second in firing frequency using a 95% confidence interval. (Use technology to find the critical value. Round your answers to three decimal places.) Interpret the resulting interval. O We are 95% confident that the mean change in firing frequency associated with an increase of 1 in pleasantness rating is in this interval. We are 95% confident that the mean change in firing frequency associated with an increase of 1 in pleasantness rating is outside this interval. We are 95%…

A 1982 paper by Hans Rosendal and Samuel Shaw established a correlation between the maximum sustained surface wind speeds to the minimum sea level pressure in central north pacific cyclones. Use the following data below to test this result. Minimum Sea Level Pressure (in millibars) (x) Surface Wind Speed (in knots) (y) 968 89 1022 42 1012 72 931 130 984 73 992 97 942 121 974 77 1008 93 939 126 956 115 1014 86 Calculate the correlation coefficient. Round to three decimals Find the equation of the regression line. Round each value to two decimals Preview New data has just arrived indicating that the minimum sea level pressure for a storm is 955 millibars. Predict the maximum sustained wind speed in knots. Round your answer to the nearest integer

A researcher was interested in finding out whether students’ sense of belonging in a course differed between students attending classes on campus and students attending classes on Zoom. They recruited five students attending classes on campus and five students attending classes on Zoom to test this. Students were asked to complete a survey measuring how much they felt like they belonged in the course. The scale ranged from 0 (not at all) to 10 (very much). Students’ data, which were non-normal, are provided below. Campus Zoom 3 7 2 5 7 4 1 8 6 9   What is your obtained statistic?A) 19.5B) 35.5C) 3D) 10   What is your critical statistic?A) 17B) 19C) 0D) 1 What is your conclusion?A) Students taking the course on campus reported a significantly lower sense of belonging compared to students taking the course on Zoom.B) Students taking the course on campus reported a significantly higher sense of belonging compared to students taking the course on Zoom.C) Sense of belonging…

Previous studies have shown that playing video games can increase visual perception abilities on tasks presented in the gaming zone of the screen (within 5 degrees of the center). A graduate student is interested in whether playing video games increases peripheral visual perception abilities or decreases attention to peripheral regions because of focus on the gaming zone. For her study, she selects a random sample of 64 adults. The subjects complete a difficult spatial perception task to determine baseline levels of their abilities. After playing an action video game (a first-person combat simulation) for 1 hour a day over 10 days, they complete the difficult perception task for a second time. Before playing the action video game, the mean score in their accuracy on the spatial task was 0.42. After playing the action video game, the mean score was -0.08. The mean of the differences between each person's pre- and postscores was 0.5, with a standard deviation of the differences equal to…

I need help making a relative frequency histogram from this data.

(Please show all work on how you got this so I may learn from it and check my answers.) A researcher is interested in understanding if perfume affects how attractive a person is perceived tobe. To examine this phenomenon, the research randomly assigns the participants to rate theattractiveness of an individual from one of three groups: no perfume, a small amount of perfume, and alarge amount of perfume. Below are the ratings to how attractive the participants find the individual:NO Perfume      A SMALL Amount of Perfume             A LARGE Amount of Perfume4                        6                                                          05                        3                                                          13                        5                                                          05                        4                                                          14                        5                                                          23…

Here are the world record race times for women in the 10,000-meter run over several years. a) Which is the explanatory variable and which is the response variable? Year Race Time (seconds) 1967 2286.4 b) Make a scatterplot of these data. You do not have to draw the scatterplot for me. Describe what you see (form, direction, 1970 2130.5 1975 2100.4 strength, outliers). 1975 2041.4 c) Write the equation of the regression line for predicting race time from year. 1977 1995.1 1979 1972.5 d) Give the meaning of the slope of your line in terms of race time and year. What are the units of the slope in this problem? 1981 1950.8 1981 1937.2 e) What percent of the observed variation in 1982 1895.3 the race times can be explained by your 1983 1895.0 model? 1983 1887.6 f) Find the residual for the first data point or 1984 1873.8 the list (the 2286.4 seconds from 1967). 1985 1859.4 g) What does this linear model predict for th race time in the year 2075? Do you think 1986 1813.7 this is reasonable?…