A college placement office conducted a survey of 100 engineers who had graduated from Stanford University. For these engineers, the mean salary was computed to be $72,000 with a standard deviation of $8,000. The distribution of salary is roughly bell shaped.
If the distribution was not bell shaped, then what salary interval will contain 96.6% of the engineers?
here since distribution was not bell shaped
number of standard deviation from mean that contain at least 96.6% of values
=sqrt(1/(1-0.966))
=5.4
therefore corresponding interval value =72000 -/+ 5.4*8000
=28800 to 115200
(please try 28640 to 115360 if above comes wrong due to rounding error)
A college placement office conducted a survey of 100 engineers who had graduated from Stanford University....
A study was conducted to estimate hospital costs for accident victims who wore seat belts. Twenty randomly selected cases have a distribution that appears bell-shaped with a mean of $9000and a standard deviation of $3500. Construct a 98% confidence interval for the mean of all such costs.Moreover,interpret the confidence interval.
The Kamp family has twins, Rob and Rachel. Both Rob and Rachel graduated from college 2 years ago, and each is now earning $50,000 per year. Rob is an engineer. The mean salary for engineers with less than 5 years’ experience is $60,000 with a standard deviation of $5,000. Rachel works in the retail industry, where the mean salary for executives with less than 5 years’ experience is $35,000 with a standard deviation of $8,000. Compute the z values for...
Betsy is a survey researcher who knows from University records that the mean GPA of incoming students is 3.2 with a standard deviation of 0.3. She collects her own sample of 200 Memphis students and discovers that the mean incoming GPA in her sample is 3.5 and the standard deviation in her sample is 0.7. What is the 95% confidence interval around the sample estimate? Enter the upper (higher value) first, and enter the lower bound (lower value) second. bound...
The development office and the registrar of your university have provided you with anonymous matches of starting salaries and GPAs for 108 graduating economics majors. Your sample contains a variety of jobs, from church pastor to stockbroker. a) The average starting salary for the 108 students was $38,584 with a sample standard deviation of $7,500. The mean starting salary for economics majors from other universities is $36,000. At a 5% significance level, is there statistical evidence showing that the mean...
Yousure Inc. is a life insurance company. Recently, management conducted a survey of 100 customers who owned a particular type of policy. They found that the customers' mean age was 77.7 years, with a sample standard deviation of 36 years. Which of the following is the confidence interval for the true mean age of all customers who have this policy? 72.5 to 12 77.1 to 7.3 75.4 to 80 74.1 to 813 76.87 to 80.33
Q: Previous study conducted at the Texas State University reported that first year college students spent 5 hours per week, on average, speaking phone. The students statistics club assumes that, currently, the mean is higher. 125 randomly chosen first-year college students were asked how many hours per week they spend talking by phone. The sample mean was 5.94 hours with a sample standard deviation of 6.37 hours. a. What is the population parameter to test? b. What is the sample...
A survey was conducted to determine what percentage of college seniors would have chosen to attend a different college if they had known then what they know now. Suppose 34% of the seniors indicated that they would have attended a different college. You randomly select 12 seniors to interview. _71. Is this a discrete, binomial, or normal distribution? 72. Calculate the mean. 73. Calculate the standard deviation. 74. Find the probability that at least 5 seniors indicated they would have...
A survey of college students was conducted during final exam week to assess the number of cups of coffee consumed each day. The mean number of cups was 5 with a standard deviation of 1.5 cups. The distribution was normal. A. What proportion of students drank 7 or more cups of coffee per day? B. What proportion of students drank 2 or more cups of coffee per day? C. What proportion of students drank between 2 and 7 cups of...
A) A research group conducted an extensive survey of 2933 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1500 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question....
A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of his study. Complete parts...