Question

In: Statistics and Probability

Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can...

Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. Suppose a sample of 35 surveys produces the data in the Microsoft Excel Online file below. Use a known σ = 3.9 minutes. Is the premium rate justified?
Hypothesis Test about a Population Mean: Formulas
Sigma Known Case
Sample Size 15 #N/A
Sample Mean #N/A
Hypothesized Mean Value 15
Population Standard Deviation 3.9
Level of Significance 0.01
Standard Error #N/A
Critical Value #N/A
Test Statistic (z) #N/A
p-value (Lower Tail) #N/A
p-value (Upper Tail) #N/A
p-value (Two Tail) #N/A
Reject Null Hypothesis? #N/A
Data range A:A

1.Compute the value of the test statistic (to 2 decimals).

2.What is the p-value (to 4 decimals)?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed within 15 minutes or less. If more time is required, a premium rate is charged. With a sample of 35 surveys, a population standard deviation of 4 minutes, and a level of significance of .01, the sample mean will be used to test the null hypothesis H0: μ ≤15. a. What is your interpretation of the Type II error for this problem?...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. A sample of 35 surveys provided a mean time of 17 minutes. Based upon past studies, the population standard deviation is assumed known with σ=4. Is the premium rate justified? What is the critical value, using a = .01 (to...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed within an average time of 15 minutes or less. If more time is required, a premium rate is charged. The testable hypotheses in this situation are ?0:?=15H0:μ=15 vs. ??:?>15Ha:μ>15 1. Identify the consequences of making a Type I error. A. The company charges the customer the premium rate when they should. B. The company does not charge the customer the premium rate...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. Suppose a sample of 35 surveys produces the data in the Microsoft Excel Online file below. Use a known σ = 3.3 minutes. Is the premium rate justified? Call Time (minutes) 20.3 13.7 16.2 18.1 13.5 17.3 14.6 17.4 18.5...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can...
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. Suppose a sample of 35 surveys produces the data in the Microsoft Excel Online file below. Use a known σ = 3.7 minutes. Is the premium rate justified? Formulate the null and alternative hypotheses for this application. H0: μ _________greater...
A market research firm conducts telephone surveys with a 43% historical response rate. a. What is...
A market research firm conducts telephone surveys with a 43% historical response rate. a. What is the probability that in a new sample of 400 telephone numbers, at least 160 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 160/400 = 0.4? Calculate the standard error to 4 decimals.   Calculate the probability to 4 decimals, showing your steps along the way. P( ≥  ) = P(z ≥  )...
A market research firm conducts telephone surveys with a 47% historical response rate. If 75 individuals...
A market research firm conducts telephone surveys with a 47% historical response rate. If 75 individuals are contacted, find the probability that 36 or less of them will cooperate and respond to the survey questions.
A marketing research professor is conducting a telephone survey and needs to contact at least 160...
A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single...
A marketing research professor is conducting a telephone survey and needs to contact at least 160...
A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single...
A marketing research professor is conducting a telephone survey and needs to contact at least 160...
A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT