Accordi the historical data, the life expectancy in Mexico is equal to the life expectancy in Spain. A new study has been made to see whether this has changea. Records of 205 individuals from Mexico who died recently are selected at random. The 205 individuals lived an average of 71.8 years with a standard deviation of 2.6 years. Records of 250 individuals from Spain who died recently are selected at random and independently. The 250 individuals lived an average of 71.2 years with a standard deviation of 3.0 years. Assume that the population standard deviation of the life expectancy can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support th claim that the life expectancy, H1, in Mexico is not equal to the life expectancy, µ,, in Spain anymore? Perform a two-tailed test. Then complete the parts belov Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

According to the historical data, the life expectancy in the United States is less than the life expectancy in Denmark. A new study has been made to see whether this has changed. Records of 230 individuals from the United States who died recently are selected at random. The 230 individuals lived a mean of 77.7 years with a standard deviation of 8.8 years. Records of 205 individuals from Denmark who died recently are selected at random and independently. The 205 individuals lived a mean of 75.9 years with a standard deviation of 7.5 years. Assume that the population standard deviations of lifetimes in these two countries can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval for ₁-₂, the difference between the life expectancy μ₁ in the United States and the life expectancy ₂ in Denmark. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three…

Songs on Leila’s smartphone have a mean length of 4.3 minutes and a standard deviation of 1.2 minutes. The phone inserts a period of silence between songs that has a mean length of 0.05 minutes and a standard deviation of 0.01 minutes. What are the mean and standard deviation of time it takes for the phone to play a randomly selected two-song sequence?

The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 65. Round to four decimal places.