Spotify - a popular music streaming service - recently released data summarizing trends in worldwide listening patterns for 2014. Data was collected for a sample of 55 American users and 40 Canadian users. The sample of American users had an average streaming time of 23 hours with a standard deviation of 5 hours. The sample of Canadian users had an average streaming time of 21 hours with a standard deviation of 5.5 hours. A hypothesis test is to be conducted at the 5% significance level to determine whether the average streaming time for American users is higher than that of Canadian users. How many degrees of freedom would be used to conduct this hypothesis test? Assume that the population standard deviations are unequal. Express your solution as a whole number.

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.