Description
Week 6: Confidence Interval
Week | Assignments | Due Date |
Week 6 | Graded Discussion | Suggested Due Date—
Initial Post: Wednesday of Week 6
Due Date— Responses: Sunday of Week 6 [Have two posts on two different days] |
Knewton Homework Assignments
Confidence Interval for Mean – Population Standard Deviation Known Confidence Intervals – Empirical Rule Estimating Sample Size for a Population Proportion Point Estimates, Margins of Error, and Confidence Intervals Understanding Confidence Intervals – Excel |
Sunday of Week 6 | |
Week 6 Quiz |
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Week 6 Assignment – Understanding Confidence Intervals – Excel
Activity 1
Question
In a city, 22 coffee shops are randomly selected, and the temperature of the coffee sold at each shop is noted. Use Excel to find the 90% confidence interval for the population mean temperature. Assume the temperatures are approximately normally distributed. Round your answers to two decimal places and use increasing order.
Answer
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Activity 2
Question
The yearly incomes, in thousands, for 24 random married couples living in a city are given below. Assume the yearly incomes are approximately normally distributed. Use Excel to find the 95% confidence interval for the true mean, in thousands. Round your answers to three decimal places and use increasing order.
Answer
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Activity 3
Question
A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 458 likely voters, 254 said that they would vote “yes” on the referendum. Create a 95% confidence interval for the proportion of likely voters who will vote “yes” on the referendum. Use Excel to create the confidence interval, rounding to four decimal places.
Provide your answer below:
Answer
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Activity 4
Question
In a survey of 1,000 adults in a country, 722 said that they had eaten fast food at least once in the past month. Create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month. Use Excel to create the confidence interval, rounding to four decimal places.
Provide your answer below:
Answer
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Activity 5
Question
In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys. Use Excel to create the confidence interval, rounding to four decimal places.
Provide your answer below:
Answer
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Activity 6
Question
Weights, in pounds, of ten-year-old girls are collected from a neighborhood. A sample of 26 is given below. Assuming normality, use Excel to find the 98% confidence interval for the population mean weight μ. Round your answers to three decimal places and use increasing order.
Answer
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Activity 7
Question
A company wants to determine a confidence interval for the average CPU time of its teleprocessing transactions. A sample of 70 random transactions in milliseconds is given below. Assume that the transaction times follow a normal distribution with a standard deviation of 600 milliseconds. Use Excel to determine a 98% confidence interval for the average CPU time in milliseconds. Round your answers to the nearest integer and use ascending order.
Answer
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Activity 8
Question
Suppose the weights of tight ends in a football league are normally distributed such that σ2=1,369. A sample of 49 tight ends was randomly selected, and the weights are given below. Use Excel to calculate the 95% confidence interval for the mean weight of all tight ends in this league. Round your answers to two decimal places and use ascending order
Answer
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Activity 9
Question
A sample of 22 test-tubes tested for number of times they can be heated on a Bunsen burner before they crack is given below. Assume the counts are normally distributed. Use Excel to construct a 99% confidence interval for μ. Round your answers to two decimal places and use increasing order.
Answer
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Activity 10
Question
In a random sample of 350 attendees of a minor league baseball game, 184 said that they bought food from the concession stand. Create a 95% confidence interval for the proportion of fans who bought food from the concession stand. Use Excel to create the confidence interval, rounding to four decimal places.
Answer
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Activity 11
Question
Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of 700 people in the region and asks whether they would order calzones if they were on the menu. 46 people responded “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu. Round your answer to four decimal places
Answer
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Activity 12
Question
A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a sample of 28 property tax bills is given below. Assume the property tax bills are approximately normally distributed. Use Excel to construct a 95% confidence interval for the population mean property tax bill. Round your answers to two decimal places and use increasing order
Answer
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Activity 13
Question
The following data represent a sample of the assets (in millions of dollars) of 28 credit unions in a state. Assume that the population in this state is normally distributed with σ=3.5 million dollars. Use Excel to find the 99% confidence interval of the mean assets in millions of dollars. Round your answers to three decimal places and use ascending order
Answer
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Activity 14
Question
The monthly incomes from a random sample of 20 workers in a factory is given below in dollars. Assume the population has a normal distribution and has standard deviation $518. Compute a 98% confidence interval for the mean of the population. Round your answers to the nearest dollar and use ascending order
Monthly Income
11621
12367
12030
12135
12561
11453
12313
11561
12424
Cont……
Answer
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Activity 15
Question
A study was conducted to estimate the mean age when people buy their first new car. The ages of purchase for 22 randomly selected people are given below. Assume the ages are approximately normally distributed. Use Excel to determine the 99% confidence interval for the mean. Round your answers to two decimal places and use increasing order
Age
19
25
27
23
15
21
22
15
18
Cont……
Answer
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Activity 16
Question
A type of golf ball is tested by dropping it onto a hard surface from a height of 1 meter. The height it bounces is known to be normally distributed. A sample of 25 balls is tested and the bounce heights are given below. Use Excel to find a 95% confidence interval for the mean bounce height of the golf ball. Round your answers to two decimal places and use increasing order
Height
81.4
80.8
84.4
85.6
82.9
76.0
80.0
83.2
80.8
Cont……
Answer
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Activity 17
Question
In a random sample of 2,282 college students, 356 reported getting 8 or more hours of sleep per night. Create a 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night. Use Excel to create the confidence interval, rounding to four decimal places.
Answer
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Activity 18
Question
A large company is concerned about the commute times of its employees. 333 employees were surveyed, and 131 employees said that they had a daily commute longer than 30 minutes. Create a 95% confidence interval for the proportion of employees who have a daily commute longer than 30 minutes. Use Excel to create the confidence interval, rounding to four decimal places.
Answer
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Activity 19
Question
A restaurant is reviewing customer complaints. In a sample of 227 complaints, 57 complaints were about the slow speed of the service. Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service. Use Excel to create the confidence interval, rounding to four decimal places.
Provide your answer below:
Answer
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