During a wisdom teeth removal procedure, 1,2,3, or 4 wisdom teeth are removed, depending on the patient's needs. Records indicate that nationwide, the mean number of wisdom teeth removed in a procedure is \mu = 3.10, with a standard deviation of \sigma = 1.06. Suppose that we will take a random sample of 10 wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let x represent the sample mean of the 10 procedures. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find \mu_x (the mean of the sampling distribution of the sample mean). (b) Find \sigma (the standard deviation of

The scores of students on a standardized test form a normal distribution with a mean of 300 and a standard deviation of 40.  Using the fact that the middle 50% of the data falls within .67 standard deviations from the mean, find the lower and upper quartile scores for this test.

When Emma commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 53 minutes and a standard deviation of 5 minutes. What percentage of her commutes will be shorter than 62 minutes, to the nearest tenth? Statistics Calculator

The time for an event for girls in secondary school is known to posses a normal distribution within a mean of 450 seconds and a standard deviation of 50 seconds.  Find the probablity that a randomly selected girl in a secondary school will take longer 335 seconds to run the mile

Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123123 mg/dL and a standard deviation of 4141 mg/dL. If an individual's LDL is at least 11 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 11 or more standard deviations above the mean? Use the 6868–9595–99.799.7 rule. (Enter your exact answer as a whole number.)

The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1100 who were over the age of 25, and 871 of them were high school graduates, (a) Find the mean and standard deviation for the number of high school graduates in groups of 1100 Americans over the age of 25. Mean = %3D Standard deviation = (b) Is that county result of 871 unusually high, or low, or neither? (Enter HIGH or LOW or NEITHER) Give your answers exactly, or to at least 4 decimal places.

According to data from the U.S. Army the average foot length of women as normally distributed with a mean of 9.6 inches and a standard deviation of 0.5 inches.   Find P95 (that is the top 5% of women’s foot length)

According to a report published by the USDA 3 years ago, a typical American consumes an average of 26 pounds of ice cream per year. A researcher at the USDA would like to determine if the average amount of ice cream consumed each year by a typical American has changed since the original report was published. The researcher collected data from a random sample of 65 Americans and found that the mean amount of ice cream consumed each year by the sample was 25.54 pounds with a standard deviation of 1.64 pounds. Using α=0.02, test the hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 26 pounds. Use the p-value method. State the null and alternative hypothesis for this test.  H0= H1= Determine the test statistic for the hypothesis test. Round the solution to four decimal places. =

From Open Intro Statistics) The National Survey of Family Growth conducted by the Center for Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of contraception, and men’s and women’s health. One of the variables collected on this survey is the age at first marriage. 5,534 women, randomly sampled between 2006 and 2010, had a mean age of first marriage of 23.44 years with a standard deviation of 4.72 years. Find a 90% confidence interval for the mean age of first marriage of women in the population.