A factory produces light bulbs, and their quality control department claims that the average lifespan of their bulbs is at least 1,000 hours. You are tasked with checking if the average lifespan is less than 1,000 hours. Is this a left-tailed, right-tailed, or two-tailed test? 

Find the variance of the binomial distribution for which n = 110 and p = 0.5.

A marketing campaign claims that it will increase the average number of website visitors per day by at least 10%. The company’s website currently gets 5,000 visitors per day. After the campaign, the average number of visitors increases to 5,500 per day. You want to test if the increase in visitors is greater than 5,000, which would indicate that the campaign has had a significant impact. Is this a left-tailed, right-tailed, or two-tailed test? 

Identify the data set’s level of measurement. Type of climbing: Trad, Sport, Alpine, Bouldering, Ice

A university claims that the average SAT score of its incoming students is at least 1200. A concerned student group believes that the average SAT score is actually less than 1200. You randomly select 50 students and find that the average SAT score is 1180 with a standard deviation of 100. You want to test whether the average SAT score is significantly less than the claimed 1200. Is this a left-tailed, right-tailed, or two-tailed test? 

Determine whether the data set is a population or sample. All climbers who were injured while climbing in national parks in 2024

Determine whether the data are qualitative or quantitative. Time to complete a route: e.g., 6 minutes

Identify whether the statement describes inferential statistics or descriptive statistics.A researcher surveys 300 climbers and concludes that “Most climbers in the U.S. prefer sport climbing over trad climbing.”

A city in the Pacific Northwest recorded its highest temperature at 73 degrees Fahrenheit and its lowest temperature at 22 degrees Fahrenheit for a particular year. Use this information to find the class width if you wish to construct a frequency distribution with 9 classes. (Remember for class width, we always round up to the next whole number, no matter what the decimal)

Identify whether the statement describes inferential statistics or descriptive statistics. A climbing gym posts a chart showing the number of climbers attending each day for the past month.