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Television advertisers value the well-known Radio and TV awards scheme RTP as a measure of a TV/Radio show’s popularity among viewers. The RTP rating of a certain TV program is an estimate of the proportion of viewers, expressed as a percentage, who watch the program on a given day. In one survey, the RTP ratings team found that 101 out of 165 sampled families watched “The KSM Show” on the night of its premiere (the first time it is shown on television). In a separate survey several years later, the RTP ratings team found that 97 out of 180 sampled families watched “Music Music on TV3” on its premiere.


(a) Let p2 be the true proportion of all TV-viewing families who watched the premiere of “Music Music on TV3”. Estimate p1 − p2 and obtain a 95% confidence interval for p1 − p2.


(b) From the results in part (a), can you tell whether the premiere of “The KSM Show” was more popular that the premiere of “Music Music on TV3”? Give a brief justification of your answer.

Write a program that uses loops to print out a design of following using asterisks:

* * * * *

* *

* * * * *

* * * * *

* *

* * * * *


* * * * *

* * * * *


* * * * *

* * * * *


The program should only use the following print statements:

print(“* * * * *”)

print(“* *”)

print(“\n”)

Television advertisers value the well-known Radio and TV awards scheme RTP as a measure of a TV/Radio show’s popularity among viewers. The RTP rating of a certain TV program is an estimate of the proportion of viewers, expressed as a percentage, who watch the program on a given day. In one survey, the RTP ratings team found that 101 out of 165 sampled families watched “The KSM Show” on the night of its premiere (the first time it is shown on television). In a separate survey several years later, the RTP ratings team found that 97 out of 180 sampled families watched “Music Music on TV3” on its premiere.





(a) Estimate the true proportion p1 of all TV-viewing families who watched the premiere of “The KSM Show” and obtain a 95% confidence interval for p1.





(b) Briefly explain what this 95% confidence interval means.





(c) If the RTP team wanted to guarantee that all proportions are estimated to within ±0.05 with 95% confidence, how large should their samples be?

Write a short formal report on how the public in your area is easily scammed when using the ATMs. Use the following headlines and sub-headings to compile your investigative report.


TITLE


1. Terms of references


2. Procedures (4-5 procedures)


3. Findings


4. Conclusions


5. Recommendations


Your report should be about 2-3 pages in length.

Explain the theory of novus actually intervenies


If a normal population of overpayments by National Health Insurance Authority to a private health service


provider is known to have a population standard deviation equal to GHC5, how large a sample would we


take in order to be 95% confident that the sample mean overpayment will not differ from the population


mean overpayment by more than ±0.80?

In a sample of 50 turnings from an automatic lathe 8 were found to be outside specifications. The cutting



bits were then changed and the machine restarted. A new sample of 50 contained 3 defective turnings.



Find a 90% confidence interval for the decrease in the proportion defective after changing bits.

Write a program that prints the value of 120.456789 rounded to the nearest digit, tenth, hundredth, thousandth, and ten-thousandth. [Hint: This should make use of formatted output.].


Write a program that reads an integer and determines and prints whether it is odd or event. [Hint: Use the remainder operator. An even number is a multiple of two. Any multiple of two leaves a remainder of zero when divided by 2.].


Given the slope-intercept form equation, y = mx+b. Write a program that asks the user to enter values for the respective variables (m, x, and b). Use those variables to calculate the results of the equation. Then print out the values for m, x, b, and y.


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