In the essay box, clearly answer questions 1-5 below: 1. Is this conducting a one-sided test or a two-sided test? 2. What is the estimate of the difference in intended miles used between males and females? 3. Calculate the standard error of the difference in mileage. 4. What is the value of the correct p-value? 5. Does the evidence support that there is a difference in the mean mileage between males and females? Explain using the correct statistical evidence from the output and state your conclusion in terms of the research question.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![QUESTION 14
CardioGood Fitness Treadmill Products Data
The market research team at CardioGood Fitness retail store wants to investigate whether there are differences across the product lines
of treadmills sold; TM195 (low-end model), TM498 (medium grade model) and TM798 (high-end model) with respect to customer
characteristics. The team decides to collect data on individuals who purchased a treadmill at a CardioGood Fitness retail store during
the past three months. One question the team is interested in is if there is a difference in the miles of intended use of the treadmill
between males and Females.
t-Test: Two-Sample Assuming Unequal Variances MaleMiles Female Miles
Mean
112.81
89.99
Variance
2991.43
2006.76
Observations
104
76
Hypothesized Mean Difference
df
176
t Stat
3.0732
P(T<=t) one-tail
0.0012
t Critical one-tail
1.6536
P(T<=t) two-tail
0.0025
t Critical two-tail
1.9735
In the essay box, clearly answer questions 1-5 below:
1. Is this conducting a one-sided test or a two-sided test?
2. What is the estimate of the difference in intended miles used between males and females?
3. Calculate the standard error of the difference in mileage.
4. What is the value of the correct p-value?
5. Does the evidence support that there is a difference in the mean mileage between males and females? Explain using the correct
statistical evidence from the output and state your conclusion in terms of the research question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1be53da2-6390-45b3-96b3-169bd5827bad%2Ff74e2efe-d433-4c95-a461-13af7ff70f60%2Fmf3f0v_processed.jpeg&w=3840&q=75)
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