The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of 40 and a standard deviation of 5. Assuming these raw scores form a normal distribution:    What is the probability of getting a raw score between 24 and 37?

The mean value of land and buildings per acre from a sample of farms is ​$1200​, with a standard deviation of ​$300. The data set has a​ bell-shaped distribution. Assume the number of farms in the sample is 80.   If 20 additional farms were​ sampled, about how many of these additional farms would you expect to have land and building values between ​$900 per acre and ​$1500 per​ acre?

The mean number of days that the Monarch Butterfly spends in its larval stage is 14.1 days, with a standard deviation of 2.2 days. This distribution is approximately Normal. What is the z-score for an individual butterfly that spends 12.7 days in its larval stage? O - 0.64 O 0.64 O 6.29 O 0.74 O 0.26

According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for non‑Hispanic black females was 78.1 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, ?, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, x¯, in all possible samples of size ?n is approximately normal if ? is large enough, by the central limit theorem. Let x¯ be the mean life expectancy in a sample of 100 non‑Hispanic black females. Determine the interval centered at the population mean ? such that 95% of sample means x¯ will fall in the interval. Give your answers precise to one decimal What are the upper and lower limits?