Use z scores to compare the given values. Based on sample data, newbom males have weights with a mean of 3287.6 g and a standard deviation of 563.8 g. Newbom females have weights with a mean of 3008.2 g and a standard deviation of 680.6 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g? Since the z score for the male is z = and the z score for the female is z, the (Round to two decimal places.) " has the weight that is more extreme.

3. Use the following information about the heights measured in feet of a sample of 40 Ponderosa Pine trees and 40 Eastern White Pine trees. Ponderosa Pine Trees: Mean of 77.5 ft with a standard deviation of 11.55 ft Eastern White Pine Trees: Mean of 67.25 ft with a standard deviation of 10.33 ft Is it more unusual for a Ponderosa Pine tree to have a height of 71 ft or an Eastern White Pine tree to have a height of 71 ft relative to the data of each species of tree? Use z-scores to explain your solution.

The University of Montana admission standards require students to have an ACT score of at least 22. We know that Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. A: Students in Oregon have a mean ACT score of 21.1 with a standard deviation of 2.8. If we chose one student each at random from Oregon and from Montana, which student would be more likely to meet the ACT requirements of the University of Montana? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. B: We know that the Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. Assume that the top 2% of individuals in the state are eligible for a state-funded scholarship. What score does an individual need on the ACT to be eligible? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution

The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…

Five students took a self-confidence test. Their deviation scores were –4, +3, +1, –2, and +2. Assuming that these scores com form a normaldistribution, which deviation represents the highest raw score?

Choose the correct option and explain.

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 24 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? b. If you sampled 1000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. people c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?

Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 8.04 mm and a standard deviation of 0.54 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 8.8 mm and 7.3 mm. Round your answers to two decimal places. a. Find the standardized version of x. X- 8.04 0.54 (Do not simplify. Use integers or decimals for any numbers in the expression. Do not round.) b. Determine and interpret the z-scores for thumb lengths of 8.8 mm and 7.3 mm. Round your answers to two decimal places. Determine and interpret the z-score for a thumb length of 8.8 mm. The z-score for a thumb length of 8.8 is |. This is standard deviations the mean thumb length. (Round to two decimal places as needed.)

Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 15 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $⁢31,500 with a standard deviation of $⁢7900. Seventeen people with doctoral degrees in education were found to have a mean annual salary of $⁢47,500 with a standard deviation of $⁢6900. Assume that the population variances are not the same. Construct a 99% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.

An IQ test has a mean of 96 and a standard deviation of 15. Which is more​ unusual, an IQ of 81 or an IQ of 120​?