1: The starting salary of individuals with a master’s degree

1: The starting salary of individuals with a master’s degree in statistics is normally distributed with a mean of $48,000 and a standard deviation of $5,000. What is the probability that a randomly selected individual with a master’s in statistics will get a starting salary below $55,000?2:Suppose the wait through immigration at JFK Airport in New York is normally distributed with a mean of 22 minutes and a standard deviation of 5 minutes. What is the probability that a traveler will spend between 17 and 27 minutes waiting to pass through immigration?3:In a certain country, the number of crimes committed in a day possesses a normal distribution with a mean of 6 crimes per day and a standard deviation of 4 crimes per day. What is the probability that for a sample of 25 days, the sample mean of the number of crimes is less than 8?4:It has been reported that, on average, families in Europe eat frozen food 2.2 times per week with a standard deviation of 1.2 times per week. Assume that the distribution of the number of times that families eat frozen food is a normal distribution. If a sample of 9 families is selected, what is the probability that the sample mean of the number of times families eat frozen food is between 2 and 3 times a week?5:A random sample of 15 statistics textbooks has a mean price of $105 and a standard deviation of $30. Find the 90% confidence interval for the population mean price of statistics textbooks. (Round your final answers to the nearest hundredth)6:A survey of a university showed that 860 of 1000 students sampled are against a fee increase. Find the 95% confidence interval for the population proportion of students against the fee increase. (Round your final answers to the nearest hundredth)7:What sample size is needed to estimate p within .04 with 90% confidence