Amanufacturer of rechargeable laptop batteries markets its batteries as having, on
average, 500 charges. a consumer group decides to test this claim by assessing the
number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.the resulting p-value is .; thus, the null hypothesis is not rejected. the consumer group concludes that the manufacturer.

Let be the population mean.

By considering the given information , we have

, since the alternative hypothesis is two tailed , so the test is two tail test.

Given : Sample size : n=30

Sample mean :

Then, Standard deviation :

The p-value = 0.1111, the null hypothesis is not rejected.

Thus , we conclude that we have evidence to accept the company's claim that the batteries have on  average 500 charges.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

answ5

step-by-step explanation:

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