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Animesh Biswas

Animesh B.

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Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.

A sample standard deviation of 15 minutes is the same as a sample variance of __________ minutes.

Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes. A sample standard deviation of 15 minutes is the same as a sample variance of __________ minutes.

Introductory Statistics

The Chi-Square Distribution

Test of a Single Variance

Comparing Length of Flight Delays. The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The file LateFlights contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Delta and Southwest.
a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines.
b. What is the sample mean number of minutes late for delayed flights for each of these two airlines?
c. Using a .05 level of significance, what is the $p$ -value and what is your conclusion?

Comparing Length of Flight Delays. The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The file LateFlights contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Delta and Southwest. a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. b. What is the sample mean number of minutes late for delayed flights for each of these two airlines? c. Using a .05 level of significance, what is the $p$ -value and what is your conclusion?

Essentials of Modern Business Statistics

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Lucas Finney verified

Numerade educator

Comprehension Suppose you are interested in examining the relationship between a person's height and their mother's height. You randomly select 40 people for your analysis and record their heights and their mothers' heights in centimetres. You find a linear pattern in the scatterplot of the data. The table given below shows the computer output of the simple linear regression of the data to predict the height of a person based on their mother's: | Predictor | Coefficient | Std Err | t-Value | p-Value | |---|---|---|---|---| | Constant | 26.271 | 7.856 | 2.85 | 0.008 | | Mother's height | 0.7137 | 0.1586 | 4.67 | 0.000 | R-squared = 0.468 Answer the next three questions based on the paragraph given above. You need not use any spreadsheet software for this purpose. The results required to answer the questions are given in the comprehension.

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