An important source of income for a large international banking company is home loans. The loan manager at a branch keeps track of the number of loan applicants who visit the branch's loan department per week. Over the last year, the loan manager accumulated the data shown in the table below. From previous years, the manager believes that the distribution of the number of customers has a Poisson distribution with an average of 3.7 loan applicants per week. Determine if the loan officer's belief is correct using a significance level of 0.05. Number of 1 2 3 4 5 26 0 Customers Frequencies 1 3 9 11 14 7 10 State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. Ho: The population is not Poisson distributed with mean equal to 3.7. HA: The population is Poisson distributed with mean equal to 3.7. O B. Ho: The population is Poisson distributed with mean equal to 3.7. HA: The population is not Poisson distributed with mean equal to 3.7. O C. Ho: The population mean is not equal to 3.7. HA: The population mean is equal to 3.7. O D. Ho: The population mean is equal to 3.7. HA: The population mean is not equal to 3.7. The test statistic is ? = (Round to three decimal places as needed.) The p-value is (Round to three decimal places as needed.) Draw a conclusion. Choose the correct answer below. O A. Do not reject the null hypothesis, and conclude that the population is Poisson distributed with mean equal to 3.7. O B. Do not reject the null hypothesis, and conclude that the population mean is equal to 3.7. OC. Reject the null hypothesis, and conclude that the population is not Poisson distributed with mean equal to 3.7. O D. Reject the null hypothesis, and conclude that the population mean is not equal to 3.7.

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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.