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The average salary of senior managers in the construction industry is $180,000 per year. Suppose we would like to take a sample of senior managers at a newly established company XYZ to see whether the mean annual salary is different from that of the industry. a) State the null and alternative hypotheses. b) suppose a sample of 40 senior managers at XYZ showed a sample mean annual salary of $170,000. Assume a population standard deviation of $30,000 with a = 0.05 as the value of significance, what is your conclusion? Need to know whether this is a one tailed or two tailed step and how do you know that? Need step by step breakdown so I can follow and study for exam please. The time needed to drive from city A to city B is normally distributed with a mean of 180 minutes and standard deviation of 20 minutes. a) what is the probability that a person will drive from city a to city b in three hours or more? b) what is the probability that a person will drive from city a to city b in more than 140 minutes? c) what is the probability that a person will drive from city a to city b in exactly three hours? d) what is the probability that a person will drive from city a to city b in less than 2.5 hours? Please answer with step by step directions and state formula being used. In an effort to estimate the mean annual amount spent per customer for groceries at a particular supermarket data were collected for a sample of 100 households. The sample showed an average amount of $8,000. If the population standard deviation is $500, a) develop an 80% confidence interval estimate of the population mean annual amount spent b) develop an 85% confidence interval estimate of the population mean annual amount spent c) if the data were collected for a sample of 50 households rather than 100, develop an 85% confidence interval estimate of the population mean annual amount spent, assuming the population has a normal probability distribution. what does is mean a normal probability distribution and how is it different from part a) and b). step by step breakdown and formula used please.
Craft one page brief of the statistical results (include any additional pages needed for any APA tables or graphs and the SPSS syntax and output) in which you do the following:
Define Yt = et for t not= 1 and Yt = 1/sqrt2 (e_t-1_squared - 1) for t=1. Show that Yt is a white noise process despite the fact that Y1 is perfectly predictable from the earlier observation.
Should H0 be rejected? What should the researcher conclude and determine the 95% confidence interval for the population mean, based on the sample mean.
Find the test statistic value for two mean tests using equal variance formula.
Location along 500-ft assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is?
SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points and are approximately normally distributed. A person who scores (a perfect) 800 on the SAT I has approximately what percentile rank..
During the past year, the mean sales of Wshington Reds in cases was 45,000 cases, and the standard deviaiton was 4,450. How many cases of Washington Reds should be brought to market? Assume the sales follow a normal distribution.
Compute the probability of exactly 0,1,2,3,4, and 5 arrivals per day.
Generate three random observations from the uniform distribution between -10 and 40 by using the following random numbers:
Compute the variance and standard deviation of the number that will arrive within two days.
Determining sample-size is important step when planning a statistical study. It is also quite a difficult task since many variables must be considered.
If a vending machine will only accept coins weighing between 5.48g and 5.82g, what percentage of legal quarters will be rejected?
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