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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Evaluating and Inference Sample Statistics

Grade: 1300-a Lesson: S4-L4

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	At a large high school, 300 students were selected at random and were asked in a survey about a menu change in the school cafeteria. All 300 students completed the survey. It was estimated that 38% of the students were in support of a menu change, with a margin of error of 5.5%. Which of the following is the best interpretation of the survey results?	A) The percent of the students at the school who support a menu change is 38%. B) The percent of the students at the school who support a menu change is greater than 38%. C) Plausible values of the percent of the students at the school who support a menu change are between 32.5% and 43.5%. D) Plausible values of the number of the students at the school who support a menu change are between 295 and 305.
2	In a study, the data from a random sample of a population had a mean of 37, with an associated margin of error of 3. Which of the following is the most appropriate conclusion that can be made about the population mean?	A) It is less than 37. B) It is greater than 37. C) It is less than 34 or greater than 40. D) It is between 34 and 40.
3	A company produces light bulbs, and they claim that their bulbs last, on average, 1000 hours. To test this claim, a random sample of 50 bulbs is taken, and their lifetimes are recorded. The sample mean is found to be 980 hours, with a standard deviation of 50 hours. Now, which of the following statements must be true? I. At least 95% of all bulbs produced by the company last between 930 and 1030 hours. II. If another random sample of 50 bulbs is taken, the sample mean will be exactly 980 hours. III. The company’s claim that their bulbs last, on average, 1000 hours, is incorrect.	A) I only B) I and II and III C) II only D) III only
4	In a survey conducted among 200 customers at a grocery store, 40 customers indicated that they prefer organic produce. The store has a total customer base of 10,000 people. Using this information, estimate how many customers in total would prefer organic produce.	A) 2,000 B) 2,100 C) 1,900 D) 1,800
5	In a survey conducted among 300 employees in a company, 120 employees indicated that they prefer working remotely. The company has a total workforce of 10,000 employees. Using this information, estimate how many employees in total would prefer working remotely.	A) 4000 B) 3900 C) 4100 D) 3850
6	In a school with 500 students, a survey was conducted among a random sample of 100 students to determine their interest in participating in an upcoming science fair. Of those surveyed, 40% expressed interest in participating. Based on this survey, what is the best estimate of the total number of students in the school who are interested in participating in the science fair?	A) 190 B) 200 C) 185 D) 210
7	A survey was conducted to estimate the proportion of adults in a city who support a proposed policy change. The survey found that 60% of the 500 surveyed adults support the policy change, with a margin of error of 4%. Given this information, which of the following is most likely?	A) r < 56% B) 56% < r < 64% C) r < 64% D) 56% > r
8	A researcher wants to estimate the average weight of apples in a certain orchard. They randomly select 10 apples and weigh them. The weights of the sampled apples are: 120g, 125g, 130g, 135g, 140g, 145g, 150g, 155g, 160g, and 165g. Based on the mean weight of the sampled apples, what is the best estimate for the average weight of all apples in the orchard?	A) 141 grams B) 143.5 grams C) 142.5 grams D) 144 grams
9	A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 250 largemouth bass, of which 40% weighed more than 3 pounds. Which of the following conclusions is best supported by the sample data?	A) The average weight of all fish in the pond is approximately 3 pounds. B) Approximately 40% of all fish in the pond weigh more than 2 pounds. C) Approximately 40% of the largemouth bass in the pond weigh more than 3 pounds. D) The majority of all fish in the pond weigh less than 3 pounds.
10	A study estimates that 60% of a certain population supports a particular policy, with a margin of error of 3%. If p represents the true proportion of the population that supports the policy, what range of values is most plausible for p?	A) 57% < p B) p < 57% C) p < 63% D) 57% < p < 63%

Problem Id

Problem

Options

At a large high school, 300 students were selected at random and were asked in a survey about a menu change in the school cafeteria. All 300 students completed the survey. It was estimated that 38% of the students were in support of a menu change, with a margin of error of 5.5%. Which of the following is the best interpretation of the survey results?

A) The percent of the students at the school who support a menu change is 38%.

B) The percent of the students at the school who support a menu change is greater than 38%.

C) Plausible values of the percent of the students at the school who support a menu change are between 32.5% and 43.5%.

D) Plausible values of the number of the students at the school who support a menu change are between 295 and 305.

In a study, the data from a random sample of a population had a mean of 37, with an associated margin of error of 3. Which of the following is the most appropriate conclusion that can be made about the population mean?

A) It is less than 37.

B) It is greater than 37.

C) It is less than 34 or greater than 40.

D) It is between 34 and 40.

A company produces light bulbs, and they claim that their bulbs last, on average, 1000 hours. To test this claim, a random sample of 50 bulbs is taken, and their lifetimes are recorded. The sample mean is found to be 980 hours, with a standard deviation of 50 hours.

Now, which of the following statements must be true?

I. At least 95% of all bulbs produced by the company last between 930 and 1030 hours.
II. If another random sample of 50 bulbs is taken, the sample mean will be exactly 980 hours.
III. The company’s claim that their bulbs last, on average, 1000 hours, is incorrect.

A) I only

B) I and II and III

C) II only

D) III only

In a survey conducted among 200 customers at a grocery store, 40 customers indicated that they prefer organic produce. The store has a total customer base of 10,000 people. Using this information, estimate how many customers in total would prefer organic produce.

A) 2,000

B) 2,100

C) 1,900

D) 1,800

In a survey conducted among 300 employees in a company, 120 employees indicated that they prefer working remotely. The company has a total workforce of 10,000 employees. Using this information, estimate how many employees in total would prefer working remotely.

A) 4000

B) 3900

C) 4100

D) 3850

In a school with 500 students, a survey was conducted among a random sample of 100 students to determine their interest in participating in an upcoming science fair. Of those surveyed, 40% expressed interest in participating. Based on this survey, what is the best estimate of the total number of students in the school who are interested in participating in the science fair?

A) 190

B) 200

C) 185

D) 210

A survey was conducted to estimate the proportion of adults in a city who support a proposed policy change. The survey found that 60% of the 500 surveyed adults support the policy change, with a margin of error of 4%.

Given this information, which of the following is most likely?

A) r < 56%

B) 56% < r < 64%

C) r < 64%

D) 56% > r

A researcher wants to estimate the average weight of apples in a certain orchard. They randomly select 10 apples and weigh them. The weights of the sampled apples are: 120g, 125g, 130g, 135g, 140g, 145g, 150g, 155g, 160g, and 165g. Based on the mean weight of the sampled apples, what is the best estimate for the average weight of all apples in the orchard?

A) 141 grams

B) 143.5 grams

C) 142.5 grams

D) 144 grams

A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 250 largemouth bass, of which 40% weighed more than 3 pounds. Which of the following conclusions is best supported by the sample data?

A) The average weight of all fish in the pond is approximately 3 pounds.

B) Approximately 40% of all fish in the pond weigh more than 2 pounds.

C) Approximately 40% of the largemouth bass in the pond weigh more than 3 pounds.

D) The majority of all fish in the pond weigh less than 3 pounds.

A study estimates that 60% of a certain population supports a particular policy, with a margin of error of 3%. If p represents the true proportion of the population that supports the policy, what range of values is most plausible for p?

A) 57% < p

B) p < 57%

C) p < 63%

D) 57% < p < 63%