Question

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $190,000. Assume the standard deviation is $34,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  3. For a single randomly selected graduate, find the probability that her salary is between $180,932 and $187,421. 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Write the normal probability for the shaded region of the graph and find its value. Select the corre...

A: From the given graph,  n=16 p=0.55   By using the normal approximation method,  X~Nnp, np1-pX~N16×0....

Q: Statistics Question

A: The objective is to test whether the mean difference has higher potential Let μd be the mean differe...

Q: Hi,  Can i get some assistance with the calculations and explanations of the question in the picture...

A: Exponential distribution

Q: Find the probability and interpret the results. If convenient, use technology to find the probabilit...

A: Solution: Let X be the salary for environmental compliance specialists. From the given information, ...

Q: When the area corresponding to the critical value is in the lower tail of the sampling distribution,...

A: Given that the area corresponding to the critical value is in the lower tail of the sampling distrib...

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop ...

A:   (1)   Determine the distribution of X.   The distribution of X is obtained below as follows:

Q: How effective is gastric bypass surgery in maintaining weight loss in extremely obese people? A stud...

A: Given information No of subjects who had received gastric bypass surgery (n) = 426 Proportion of peo...

Q: According to a reputable magazine, 35% of people in a certain large country have sleepwalked at leas...

A: According to a reputable magazine. 35% of people in a certain large country have sleepwalked at leas...

Q: The price per share of stock for a sample of 25  companies was recorded at the beginning of the firs...

A: Beginning End D (d-dbar)^2 53.82 54.19 0.006875 0.002943 77.02 55.7 -0.27681 0.052640 109 102....

Q: In a sample of 50 electric motors, the average efficiency (in percent) was 85 and the standard devia...

A: Given that :  Sample size ( n ) = 50 electric motors  Mean = 85 Standard deviation = 2  

Q: Given that the null hypothesis to be tested is Hg: Hg = 0 at a = 0.05, and the test statistic is 1.0...

A: The test statistic is 1.04. The degrees of freedom is n-1 = 7-1 =6.

Q: From the sample space S= {1,2,3,4,..,15}, a single number is to be selected at random. Given the fol...

A: Probability: The chance that something will happen. It is also defined as the ratio of favorable out...

Q: A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the prob...

A: In a deck of cards, Total 52 cards are there No of six cards = 4 No of jack = 4 No of seven = 4 No o...

Q: A laboratory claims that the mean sodium level, μ, of a healthy adult is 139 mEq per liter of blood....

A: Given information- Sample size, n = 34 Population mean, µ = 139 mEq per liter of blood Sample mean, ...

Q: Consider the following data coming from a study of three different groups. For this question, assume...

A: Excel Procedure:   Enter the data for Group 1, Group 2 and Group 3 in Excel sheet. Go to Data Click...

Q: The population mean and standard deviation are given below. Find the required probability and determ...

A: Solution: The following values are given to us: Population mean: μ=212 Population standard deviation...

Q: Thank you in Advance for quick response. Best,

A: Valid pdf property is applicable .   ∫-∞∞f(x) dx = 1

Q: Find the​ z-scores for which 15​% of the​ distribution's area lies between −z and z.

A: To find z-scores for which 15​% of the​ distribution's area lies between −z and z.

Q: Marivic is interested in the effect of playing puzzle games on academic achievement. She devised a s...

A: R-squared: It is a statistical measure that represents the proportion of the variance for a dependen...

Q: One particular professional association of investors conducts a weekly survey of its members to meas...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: A recent study was conducted where 59 men, and 59 women, were observed washing their hands. Of the 5...

A: Given that, Of the 59 men, 19 were observed as not washing their hands. Of the 59 women, 8 were obse...

Q: The average amount of money spent for lunch per person in the college cafeteria is $6.88 and the sta...

A: Hey there.!  Since you have posted the multiple questions as per the guidelines we can answer the fi...

Q: The New York Times published an article about a study in which Professor Denise Korniewicz and other...

A: From the provided information,

Q: Number 20

A: Correlation Coefficient :  It is used to measure how strong a relationship is between two variables....

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed, ...

A: Given, final exam score follows normal distribution mean 73 and standard deviation 8. Grades are ass...

Q: f the F ratio in an ANOVA is more extreme than the cutoff score, what does this suggest?

A: Solution: If the F ratio in an ANOVA is more extreme than the cutoff score (critical value), then it...

Q: A hospital claims that the proportion, p, of full-term babies born in their hospital that weigh more...

A: Click to see the answer

Q: As a general guideline, the research hypothesis should be stated as the O null hypothesis. tentative...

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for...

Q: Test the claim that the proportion of people who own cats is smaller than 70% at the 0.05 significan...

A: Given: Sample size of people (n) = 100 Sample proportion p^=0.69 Hypothesized proportion (p) = 0.70 ...

Q: 1. A student decided to enroll in a reading course that allegedly increases reading speed & comp...

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we ca...

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine...

A: From the provided information, P (-c ≤ Z ≤ c) = 0.9749

Q: A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeti...

A: Click to see the answer

Q: SAT scores are distributed with a mean of 1,500 and a standard deviation of 304. You are interested ...

A: Solution: 3. From the given information, confidence level is 0.95, σ=304 and E=40.

Q: Q1)Sixty-four independent measurements were made of the speed of light. They averaged 299,795 km/s a...

A: Given, Sixty-four independent measurements were made of the speed of light. They averaged 299,795 km...

Q: On a standardized spatial skills task, normative data reveal that people typically get μ = 15 correc...

A: On a standardized spatial skills task, normative data reveal that people typically get μ = 15 correc...

Q: P(z < -2.61)

A: Z score = -2.61 Left tailed test

Q: What is an assumption made about the value of a population parameter called? conclusion O probabilit...

A: Population parameter is given.

Q: Hi,  Can you please assist with the calculations and explainations with the question in the picture ...

A: Click to see the answer

Q: Statistics Question

A: Given information Hypothesized mean µ = 51900 Sample size (n) = 19 Mean x̅  = 52622 Standard deviati...

Q: done on proctored and nonproctored tests. The results are shown in the table. Assume that the two sa...

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a ti...

Q: In a recent survey of high school students, it was found that the average amount of money spent on e...

A: Click to see the answer

Q: A college instructor gave identical tests to tworandomly sampled groups of 35 students. Onegroup too...

A: Hypothesis: The null and alternate hypotheses are below: H0: μ1-μ2=0H1: μ1-μ2≠0 a) Step-by-step proc...

Q: The accompanying table lists the ages of acting award winners matched by the years in which the awar...

A: (A)

Q: Show work please In a sample of 390 people attending a concert, 60% stated that the venue was a good...

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: 3. A study examined the effect of protein consumption on weight gain in rats. Investigators obtained...

A: From the provided information, The hypotheses can be constructed as: H0: µ1 = µ2 H1: µ1 ≠ µ2 The lev...

Q: Hi  Can you please help in getting the answers for the questions in the attached picture please

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: Consider the following data coming from a study of three different groups. For this question, assume...

A: Given information Group 1 Group 2 Group 3 1 5 6 3 3 4 3 4 6 1 ...

Q: Find the​ z-scores for which 28​% of the​ distribution's area lies between −z and z.

A: Here, the z score for which  28​% of the​distribution's area lies between minus−z and z where the z-...