The average time taken by a sample of 68 runners to complete a 10km race was 42 minutes. Assuming a population standard deviation of 8.65 minutes, construct a 99% confidence interval for the true average time taken by all runners to complete the race. Interpret your answer. (6)
Confidence Level |
Z - Limits |
90% |
± 1.645 |
95% |
±1.96 |
99% |
±2.58 |
The average time taken by a sample of 68 runners to complete a 10km race was...
The stem-and-leaf plot below shows the marathon training times (in minutes) for a random sample of 30 female runners. Training Times (in minutes) of Female Runners 8 99 Key: 17 8 = 178 18 0 0 0 0 1 2 3 4 6 6 7 9 19 0 0 0 3 4 5 5 6 6 20 0 0 1 2 3 Provided the data from the stem-and-leaf plot above answer the following questions. 1 a) Use the sample to...
Single Sample t-Test Coach Brown is training his runners for an upcoming race, but he is concerned about their pace. He takes down sample times from his top 7 runners to compare it to his all-time standard race speed of 7.9 minutes per kilometer (μ). The sample times from his runners were 8.55 minutes per kilometer (M) with a standard deviation estimate of 0.78 (s). Based on this data, complete the six steps of hypothesis testing given that our research...
Out of 500 people sampled, 450 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Do not use StatCrunch. Show all formulas used, work and steps. Be sure to define your variables. As in the reading, in your calculations: --Use z = 1.645 for a 90% confidence interval --Use z = 1.96 for a 95% confidence interval --Use z = 2.576 for a 99% confidence interval Give your answer in...
help please :) Single Sample t-Test Coach Brown is training his runners for an upcoming race, but he is concerned about their pace He takes down sample times from his top 7 runners to compare it to his all-time standard race speed of 7.9 minutes per kilometer (). The sample times from his runners were 8.55 minutes per kilometer (M) with a standard deviation estimate of 0.78 (s). Based on this data, complete the six steps of hypothesis testing given...
The stem-and-leaf plot below shows the marathon training times (in minutes) for a random sample of 30 female runners. Training Times (in minutes) of Female Runners 17 8 9 9 Key: 17 8 = 178 18 0 0 0 0 1 2 3 4 6 6 7 9 19 0 0 0 1 3 4 5 5 6 6 20 0 0 0 1 2 3 Provided the data from the stem-and-leaf plot above answer the following questions. a) Use...
In a random sample of 29 people, the mean commute time to work was 323 minutes and the standard deviation was 72 minutes. Assume the population is normally distributed and use at distribution to construct a 99% confidence interval for the population mean . What is the margin of error of u? Interpret the results The confidence interval for the population MAAN (Round to ona decimal ACA 2 neded) D The margin of error of his (Round to ona decimal...
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A random sample of 49 cherry shop customers was taken. The sample’s mean amount of time these cus-tomers stayed in the shop was 30 minutes with a sample standard deviation of 10 minutes. Develop a 95% confidence interval estimate for the mean of the population by answering this a) What is the margin of error? b) What is the confidence interval? c) Interpret your answer
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