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loris [4]
3 years ago
8

katie collected 470 cans the first week of the school project. The second week she collected 105 less than the first week. How m

any cans did she collect in the second week.
Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Answer:

Katie collected 365 cans in the second week.

Step-by-step explanation:

Because Katie collected 470 cans in the first week, and 105 less in the second week, we know to subtract 105 from 470, which gives us 365 cans.

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Alternative hypothesis:\mu > 8000  

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Step-by-step explanation:

1) Data given and notation  

\bar X=8300 represent the sample mean  

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n=64 sample size  

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\alpha represent the significance level for the hypothesis test.  

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p_v represent the p value for the test (variable of interest)  

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We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :  

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

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We can replace in formula (1) the info given like this:  

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