1. Christy operates a business called Dinner to Go! that provides home-cooked meals for people that don't have time to cook for themselves. Each meal consists of a main dish and two side dishes. Bob operates a similar business across town called Let Me Feed You. They decide to combine their operations. Both of them will continue working independently from their own locations, but Christy will provide the side dishes and Bob will provide the main dish. The mean amount of time it takes Christy to make the side dishes for one day is 4.2 hours with a standard deviation of 0.8 hours. The mean amount of time it takes Bob to make the main dishes for one day is 5.1 hours with a standard deviation of 1.1 hours. The price customers are charged will be based in part on the total time spent preparing the meals. Find the mean and standard deviation for the total amount of time necessary to make the side dishes and main dish for one day. (A) mean = 9.30 hours, standard deviation = 1.90 hours (B) mean = 9.30 hours, standard deviation = 1.85 hours (C) mean = 9.30 hours, standard deviation = 1.36 hours (D) mean = 4.65 hours, standard deviation = 1.90 hours (E) mean = 4.65 hours, standard deviation = 1.36 hours
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.
1. Christy operates a business called Dinner to Go! that provides home-cooked meals for people that
don't have time to cook for themselves. Each meal consists of a main dish and two side dishes. Bob
operates a similar business across town called Let Me Feed You. They decide to combine their
operations. Both of them will continue working independently from their own locations, but Christy
will provide the side dishes and Bob will provide the main dish. The
Christy to make the side dishes for one day is 4.2 hours with a standard deviation of 0.8 hours. The
mean amount of time it takes Bob to make the main dishes for one day is 5.1 hours with a standard
deviation of 1.1 hours. The price customers are charged will be based in part on the total time spent
preparing the meals. Find the mean and standard deviation for the total amount of time necessary to
make the side dishes and main dish for one day.
(A) mean = 9.30 hours, standard deviation = 1.90 hours
(B) mean = 9.30 hours, standard deviation = 1.85 hours
(C) mean = 9.30 hours, standard deviation = 1.36 hours
(D) mean = 4.65 hours, standard deviation = 1.90 hours
(E) mean = 4.65 hours, standard deviation = 1.36 hours
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