Assuming the life length of batteries is normally distributed, if you wish to conduct this test using a .05level of significance, what is the critical value that you should use? Place your answer, rounded to 3decimal places in the blank. For example, -1.234 would be a legitimate entry.-1.729

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Question 17 of 200.0/ 1.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces(e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation).NOTE:For scientificnotation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typicallylast more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n= 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to thehypothesis test is presented below.Test of H0:1500 versus H1:> 1500Sample mean 1509.5Sample standard deviation 24.27What is the test value that you would use to conduct this test? Place your answer, rounded to 3 decimalplaces in the blank. For example, 1.234 would be a legitimate entry.1.711

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Comment: Sample Size n = 25