1. Identify the population, parameter, sample, and statistic in the following setting: Population: Parameter: A professional...

Transcribed Image Text:

1. Identify the population, parameter, sample, and statistic in the following setting: Population: Parameter: A professional photographer is interested in the average number of photographs she took per day last year. She randomly selected 10 days from the year and recorded the number of photographs she took on each of the 10 days. The average number of photographs she took on those 10 days is 831.2 photos. Sample: 2. Statistic: At the end of class, Mr. Osters allows one student to select a ticket without looking from a shoebox. The tickets are either labeled "homework pass" or "try again." Once a ticket is drawn, it is replaced for the next drawing and the tickets are mixed thoroughly. Mr. Osters claims that the proportion of homework passes in the shoebox is p = 0.25. At the end of the first quarter, one student noted that only 6 students won in 50 drawings (p = 0.12). The students were suspicious that less than 25% of the tickets in the box are homework passes. To determine if a sample proportion of p = 0.12 provides convincing evidence that the true proportion of homework passes is less than 25%, the class simulated 100 SRSS of size n = 50, assuming that 25% of the tickets were homework passes. For each sample, they recorded the sample proportion of homework passes. Here are the results of the simulation: 000 0.10 0.15 0.20 0.25 SampPropHWPass 0.30 0.35 0.40 a) There is one dot on the graph at p = 0.38. Explain what this dot represents. b) What is the probability of getting a sample proportion of 0.12 or less in a sample of size 50 when p=0.25? Based on your answer to part (b), is there convincing evidence that Mr. Osters lied about the contents of the shoebox? 1. Identify the population, parameter, sample, and statistic in the following setting: Population: Parameter: A professional photographer is interested in the average number of photographs she took per day last year. She randomly selected 10 days from the year and recorded the number of photographs she took on each of the 10 days. The average number of photographs she took on those 10 days is 831.2 photos. Sample: 2. Statistic: At the end of class, Mr. Osters allows one student to select a ticket without looking from a shoebox. The tickets are either labeled "homework pass" or "try again." Once a ticket is drawn, it is replaced for the next drawing and the tickets are mixed thoroughly. Mr. Osters claims that the proportion of homework passes in the shoebox is p = 0.25. At the end of the first quarter, one student noted that only 6 students won in 50 drawings (p = 0.12). The students were suspicious that less than 25% of the tickets in the box are homework passes. To determine if a sample proportion of p = 0.12 provides convincing evidence that the true proportion of homework passes is less than 25%, the class simulated 100 SRSS of size n = 50, assuming that 25% of the tickets were homework passes. For each sample, they recorded the sample proportion of homework passes. Here are the results of the simulation: 000 0.10 0.15 0.20 0.25 SampPropHWPass 0.30 0.35 0.40 a) There is one dot on the graph at p = 0.38. Explain what this dot represents. b) What is the probability of getting a sample proportion of 0.12 or less in a sample of size 50 when p=0.25? Based on your answer to part (b), is there convincing evidence that Mr. Osters lied about the contents of the shoebox?