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.
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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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Make sure to do the rounding and double check the Answers please.
Transcribed Image Text: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 9
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.
OC. 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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