Use the builder to write the null and alternative hypotheses for this test. H₀: p’ [BLANK-1] [BLANK-2] Hₐ: p’ [BLANK-3] [BLANK-4]

The human resources department of a firm is interested in studying employee tenure, or the amount of time their employees stay at the job. They find their employees have tenure that is normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the probability that a randomly selected group of 10 employees will have a mean tenure of more than 10 years?

Miguel wants to find a 95% confidence interval for the length of time department meetings last. He sampled 15 department meetings and found a mean time of 32 minutes. The sample gave a standard deviation of 7 minutes. What is the upper bound of Miguel’s confidence interval?

Use the builder to write the null and alternative hypotheses for this test. H₀: p’ [BLANK-1] 5.00 Hₐ: p’ [BLANK-2] 5.00

What proportion of the tickets cost at least $65?

A real estate agent wants to create a 95% confidence interval for the true mean house price of houses he has sold. He samples 50 of his recent homes sold and finds the average to be $230,000. The population standard deviation is known to be $10,000. What is the upper bound of the 95% confidence interval? Round to the nearest dollar.

The accounting firm randomly selects a new customer. What is the probability that this customer is delinquent on their taxes?

The human resources department of a firm is interested in studying employee tenure, or the amount of time their employees stay at the job. They find their employees have tenure that is normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the probability that a randomly selected group of 4 employees will have a mean tenure between 8 and 9 years?

Use the following information to answer the next 3 questions. At New City Performance Center, ticket prices for the spring musical vary depending on the location of the seat and how early the ticket is purchased. The distribution of ticket prices are shown in the following table. 200 tickets are sold. Fill in the relative frequency column on scratch paper or Excel. Price Frequency (number of tickets) Relative Frequency 15 ≤ x < 25 10 25 ≤ x < 35 30 35 ≤ x < 45 50 45 ≤ x < 55 60 55 ≤ x < 65 40 65 ≤ x < 75 10

What is the probability that a randomly selected customer is an old customer who is up to date on their taxes?