Question

In: Math

A Telecommunications company recently installed a new speech recognition system for its repair calls. In their...

A Telecommunications company recently installed a new speech recognition system for its repair calls. In their old system, operators had to press keys on the numeric keypad to answer questions, which led to longer time on service calls. on service calls. The company is conducting a study to examine the impact of the new system on the average duration of service calls. Average duration of service calls was 31.4 minutes prior to the installation of the new system. They analyzed a random sample of 20 service calls and obtained an average duration of service calls of 29.4 minutes. Based on historical data, the standard deviation of duration of service calls is known to be σ =6.2 minutes.

What is the P value of the the hypothesis test to determine if the system has been effective reducing the average duration of service calls ? (Use 4 DECIMALS)

Solutions

Expert Solution

Solution:-

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: u > 31.4
Alternative hypothesis: u < 31.4

Note that these hypotheses constitute a one-tailed test.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = s / sqrt(n)

S.E = 1.3864
DF = n - 1

D.F = 19
t = (x - u) / SE

t = - 1.44

where s is the standard deviation of the sample, x is the sample mean, u is the hypothesised population mean, and n is the sample size.

The observed sample mean produced a t statistic test statistic of - 1.44.

Thus the P-value in this analysis is 0.0831.

Interpret results. Since the P-value (0.0831) is greater than the significance level (0.05), we cannot reject the null hypothesis.

From the above test we do not have sufficient evidence in the favor of the claim that the system has been effective reducing the average duration of service calls.


Related Solutions

1) Some designers suggest that speech recognition should be used in a telephone menu system. This...
1) Some designers suggest that speech recognition should be used in a telephone menu system. This would allow users to interact with the system by speaking instead of pressing buttons on the dial pad. Give two arguments for and two arguments against the proposal. 2) Explain the difference between direct-control and indirect-control pointing devices. Name a task when the one type is a more appropriate device than the other. (350 to 450 words per response)
Your company is considering the purchase of a new production system with an installed cost of...
Your company is considering the purchase of a new production system with an installed cost of $1,250,000. The cost will be depreciated on a straight-line basis to zero over the five-year life of the project, and the system can be sold at the end of the project for $225,000. It will provide additional revenue of $685,000 in the first year, and the additional revenue is expected to grow 5% per year thereafter. The associated cost of goods sold is estimated...
Does the accounting change in revenue recognition for a new system which requires the recognition of...
Does the accounting change in revenue recognition for a new system which requires the recognition of deferred revenue matter to managers?
Expansion Aviation has installed a new payroll module for its existing accounting system that integrates with...
Expansion Aviation has installed a new payroll module for its existing accounting system that integrates with the general ledger application. The new payroll application is more complex than the old system, but its reporting function provides more details. For example, the new application calculates leave, pension, payroll tax, and workers' compensation expenses, as well as the corresponding accounting accruals. There was very little time available to implement the new system, so the old application ceased operation on December 31, 2019,...
A new production system for a factory is to be purchased and installed for $114,666. This...
A new production system for a factory is to be purchased and installed for $114,666. This system will save approximately 300,000 kWh of electric power each year for a 6-year period. Assume the cost of electricity is $0.10 per kWh, and factory MARR is 15% per year, and the salvage value of the system will be $8,666 at year 6. Using the AW method to analyzes if this investment is economically justified A. calculate the AW of the above investment...
A new production system for a factory is to be purchased and installed for $132,625. This...
A new production system for a factory is to be purchased and installed for $132,625. This system will save approximately 300,000 kWh of electric power each year for a 6-year period. Assume the cost of electricity is $0.10 per kWh, and factory MARR is 15% per year, and the salvage value of the system will be $8,351 at year 6. Using the AW method to analyzes if this investment is economically justified A- calculate the AW of the above investment...
A new production system for a factory is to be purchased and installed for $169,853. This...
A new production system for a factory is to be purchased and installed for $169,853. This system will save approximately 300,000 kWh of electric power each year for a 6-year period. Assume the cost of electricity is $0.10 per kWh, and factory MARR is 15% per year, and the salvage value of the system will be $8,297 at year 6. Using the AW method to analyzes if this investment is economically justified A- calculate the AW of the above investment...
A new production system for a factory is to be purchased and installed for $177,896. This...
A new production system for a factory is to be purchased and installed for $177,896. This system will save approximately 300,000 kWh of electric power each year for a 6-year period. Assume the cost of electricity is $0.10 per kWh, and factory MARR is 15% per year, and the salvage value of the system will be $9,551 at year 6. Using the AW method to analyzes if this investment is economically justified A- calculate the AW of the above investment...
A telecommunications company provided its cable TV subscribers with free access to a new sports channel...
A telecommunications company provided its cable TV subscribers with free access to a new sports channel for a period of 1 month. It then chose a sample of 398 television viewers and asked them whether they would be willing to pay an extra $10 per month to continue to access the channel. A total of 27 of the 398 replied that they would be willing to pay. The marketing director of the company claims that the percentage of all of...
Activity-based costing (ABC) Marconi is a Portuguese telecommunications company that encountered problems with its ABC system....
Activity-based costing (ABC) Marconi is a Portuguese telecommunications company that encountered problems with its ABC system. The company’s production managers felt that 23% of the costs included in the system were common costs that should not be allocated to products and that allocating these costs to products was not only inaccurate, but also irrelevant to their operational cost reduction efforts. Concerns over the application of the ABC approach at Marconi have been raised by personnel, including some of the senior...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT