A study considers if the mean score on a college entrance exam for students in 2005 is any different from the mean score of 498 for students who took the same exam in 1975. Let u represent the mean score for all students who took the exam in 2005. For a random sample of 40,000 students who took the exam in 2005, the sample mean, x-bar = 496 and the sample standard deviation s = 100. Report the value of the test statistic.

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step-by-step explanation:

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answer-

the equation that models this pattern is

solution-

a researcher placed a petri dish with 32,000 bacterial cells. one hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. another hour later, the number of cells had again halved.

this can be represented as exponential decreasing function,

where,

putting the values,

y-intercept means, where x=0, so

the coordinate of this poin will be (0, 32000)

this means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

after 3 hours, number of bacteria cells will be,

the   coordinate of this point will be (3, 4000)