1. Suppose that a random variable X is normally distributed with…

Question Answered step-by-step 1. Suppose that a random variable X is normally distributed with… 1.Suppose that a random variable X is normally distributed with mean 74 and standard deviation 28. If a random sample of size 36 is taken, what is the z value when the sample mean is 147?  Please give your answer correctly rounded to two decimal places. Answer: 2.The management team of a large store is interested in the relationship between annual sales ($000) and the opening times (hours) of different franchise stores.  The following regression output summarises the findings for a sample of franchise stores.   Regression StatisticsMultiple R0.7R square0.49Adjusted R square0.4655Observations79  CoefficientsIntercept237.7Opening times2.3How many observations were used to create this regression? Answer:     3.In an effort to assist with annual electricity costs ($000), a large number of households in Australia have installed solar panels.  To investigate this, a researcher took a random sample of households recording the annual electricity cost and the number of solar panels per household.  Excel was used to MAKE A simple linear regression of annual electricity cost against solar panels, with a portion of the regression output provided here:   Regression statistics  Multiple R0.75 R square0.5625 Observations163  CoefficientsStandard ErrorIntercept1.938.25Solar panels−1.362.09State the correlation coefficient. Please give your answer correctly rounded to two decimal places. Answer:   4.Parts a) and b) are NOT related. All are compulsory. a) A newspaper journalist is researching people’s opinion on the removal of hand sanitiser stations in public places. The journalist took a random sample of 40 adults and found 4 individuals agreed with the removal of hand sanitiser stations in public places. Assume the conditions are satisfied and do NOT need to be checked here. ii) Calculate a 95% confidence interval. SHOW BASIC WORKINGS.iii) Interpret your confidence interval for the journalist.  b) A student made the following statement:”The larger the sample size, the wider the confidence interval, all else held constant.” State whether you agree or disagree with this student.Briefly explain the reasoning behind your answer.    Math Statistics and Probability STAM 4000 Share QuestionEmailCopy link Comments (0)