Mathematics: Please help: A Karen goes to the store for Low-Fat Milk what happens next?

Answer with explanation:Let be the population mean.For the given claim , we haveNull hypothesis : Alternative hypothesis : Since alternative hypothesis is two-tailed , so the test is a two-tailed test.Given : Sample size : n=220 ;Sample mean: ;Standard deviation: Test statistic for population mean:By using the standard normal distribution table of z , we haveP-value ( two tailed test ) : Since , the P-value is greater than the significance level of , it means we do not have sufficient evidence...

Please help: A Karen goes to the store for Low-Fat

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ap319773

11.11.2020

Mathematics

Answer with explanation:

Let $\mu$ be the population mean.

For the given claim , we have

Null hypothesis : $H_0: \mu=35.9$

Alternative hypothesis : $H_a: \mu\neq35.9$

Since alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n=220 ;

Sample mean: $\overline{x}=35.6$ ;

Standard deviation: s=2.2

Test statistic for population mean:

$z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

$z=\dfrac{35.6-35.9}{\dfrac{2.2}{\sqrt{220}}}\approx-2.02$

By using the standard normal distribution table of z , we have

P-value ( two tailed test ) : 2P(Z|z|)=2(1-P(Z

=2(1-P(z

Since , the P-value is greater than the significance level of $\alpha=0.02$ , it means we do not have sufficient evidence to reject the null hypothesis.

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Please help: A Karen goes to the store for Low-Fat Milk what happens next?

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