Times (in seconds) for the 100 freestyle and 100 backstroke were recorded for three top swimmers...

Times (in seconds) for the 100 freestyle and 100 backstroke were recorded for three top swimmers on a university swim team: 46.17 and 50.05; 46.72 and 50.22; 46.89 and 52.95.

(a) Assuming these to be representative samples of all top swimmers' times for the two events, use software to produce a 95% confidence interval for the mean of the time differences, freestyle minus backstroke, for the two events

Expert Solution

Given that swim team

freestyle : 46.17 and 50.05; 46.72

backstroke: 50.22; 46.89 and 52.95.

freestyle

Sample Mean = x̄ = Σxᵢ / n = 142.94 / 3 = 47.64

s² = Sample Variance = Σ(x_i - x̄)²/(n - 1) = 8.8157/2 = 4.407

s = Sample Standard Deviation = √ Sample Variance = √4.407 = 2.09

backstroke

Sample Mean = x̄ = Σxᵢ / n = 150.06 / 3 = 50.02

s² = Sample Variance = Σ(x_i - x̄)²/(n - 1) = 18.4218/2 = 9.211

s = Sample Standard Deviation = √ Sample Variance = √9.211 = 3.035

orchestra answered 2 years ago

The wait times (in seconds) for fast food service at two burger companies were recorded for...

The wait times (in seconds) for fast food service at two burger companies were recorded for quality assurance. Using the sample data below, find the following for each sample: Range Standard deviation Variance Lastly, compare the two sets of results. Company Wait times in seconds Big Burger Company 105 67 78 120 175 115 120 59 The Cheesy Burger 133 124 200 79 101 147 118 125

The following data give the times (in seconds) of 22 male swimmers who entered the 50...

The following data give the times (in seconds) of 22 male swimmers who entered the 50 yard freestyle race in the conference championship meet, where Xis the swimmer's best time for the season and Y is the swimmer’s time in the meet. X Y X Y X Y X Y 24.97 23.98 24.76 23.63 23.80 23.61 22.84 23.58 24.07 23.57 22.98 23.17 22.93 22.83 23.41 22.75 22.10 22.74 23.08 22.70 23.59 22.62 23.80 22.53 22.38 22.39 22.91 22.34 22.08 21.95...

Reaction times are normally distributed with mean 100 seconds and standard deviation of 10 seconds. a)...

Reaction times are normally distributed with mean 100 seconds and standard deviation of 10 seconds. a) What is the probability that a randomly chosen individual has reaction time of more than 45 seconds? b) In a random sample of 36 individuals from the above population of reaction times, what is the probability that the sample mean reaction time is more than 45 seconds

The accompanying data are drive-through service times (seconds) recorded at a fast-food restaurant during dinner times....

The accompanying data are drive-through service times (seconds) recorded at a fast-food restaurant during dinner times. Assuming that dinner service times at the restaurant's competitor have standard deviation σ = 61.4sec, use a 0.01 significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. Use the accompanying data to identify the null hypothesis, alternative hypothesis, test statistic, and P-value. Then state a conclusion about the null hypothesis....

The accompanying data are drive-through service times(seconds) recorded at a fast-food restaurant during dinner times. Assuming...

The accompanying data are drive-through service times(seconds) recorded at a fast-food restaurant during dinner times. Assuming that dinner service times at the restaurant's competitor have standard deviation σ = 61.4sec, use a 0.01 significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. Use the accompanying data to identify the null hypothesis, alternative hypothesis, test statistic, and P-value. Then state a conclusion about the null hypothesis. Need...

A study of arrival times for a number of international flights. The times were randomly recorded...

A study of arrival times for a number of international flights. The times were randomly recorded from a normally distributed population with the following results: n = 19 and s = 12.1. Find the 95% confidence interval for σ.

The following measurements were recorded for the duration, in seconds, of phone calls in a call-center...

The following measurements were recorded for the duration, in seconds, of phone calls in a call-center of a major corporation: 30 32 27 20 32 30 26 30 33 29 1. the mode of the dataset is: 26 s b) 27 s c) 30 s d) 32 s e) 33 s The median of the dataset is: 30.15 s b) 28.9 s c) 30 s d) 28.9 s2 e) 30 s2 The mean of the duration of the phone call...

A certain statistics instructor participates in triathlons. The accompanying table lists times (in seconds) he recorded...

A certain statistics instructor participates in triathlons. The accompanying table lists times (in seconds) he recorded while riding a bicycle. He recorded every time he rode and randomly picked five laps through each mile of a 3-mile loop. Use a .05 significance level to test the claim that it takes the same time to ride each of the miles. Mile 1 194 205 203 202 201 Mile 2 198 201 200 196 200 Mile 3 215 211 209 212 209...

An athletics coach states that the distribution of player run times (in seconds) for a 100-meter...

An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed with a mean equal to 14.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 14.44 seconds or faster? (Round your answer to two decimal places.)

The accompanying data are drive-through service times (seconds) recorded at a fast food restaurant during dinner...

The accompanying data are drive-through service times (seconds) recorded at a fast food restaurant during dinner times. Assuming that dinner service times at therestaurant's competitor have standard deviation σ=58.8 sec, use a 0.025 significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. 192 160 138 81 159 199 151 113 189 161 176 195 295 165 263 161 233 158 107 195 146 333 218 235...

Question