An automobile insurance company sells an insurance policy with an annual premium of $444. Based on claims data from the last decade, the company has calculated that 4% of the policy holders claim $2,000, 12% claim $1,200, and 20% claim $600. Will the company make money?

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.

Astudy found that the variance in the number of vehicles owned or leased by subscribers to a magazine is .094. assume a sample of 12 subscribers to another magazine provided the following data on the number of vehicles owned or leased: 1,1,1,0,3,2,1,1,2,1,0, and 1 a) compute the sample variance in the number of vehicles owned or leased by the subscribers (to 4 decimals). b)test the hypothesis to determine whether the variance in the number of vehicles owned or leased by subscribers of the other magazine differs from .calculate the value of the test statistic (to 3 decimals).

The temperature at dawn was -2°f. during the day, the temperature increased 15 degrees, and then dropped 10 degrees in the evening. which expression represents the new temperature?