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1 year ago

The weight of an apple is 150g, rounded to the nearest 5g. what is the lower bound and upper bound?

Mathematics

1 answer:

Aneli [31]1 year ago

4 0

The lower bound is 147.5 and the upper bound is 152.5.

Given the weight of an apple 150 g rounded to the nearest 5g.

We have to find lower bound and upper bound.

Lower bound is an element less than or equal to all the elements in a given set.

Upper bound is an element greater than all the elements in a given set.

Lower bound= Number 1- (Number nearest to which number 1 is rounded)/2

Upper bound=Number 1+(number nearest to which number 1 is rounded)/2

Weight of an apple =150 g

Lower bound=150-5/2

=150-2.5

=147.5

Upper bound=150+5/2

=150+2.5

=152.5

Hence the lower bound is 147.5 and upper bound is 152.5.

Learn more about lower and upper bounds at brainly.com/question/15408313

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$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2$

The test statistic is z=-1.895.

The P-value is 0.029.

The P-value (0.03) is bigger than the significance level (0.01), so the effect is not significant. The null hypothesis failed to be rejected.

There is no enough evidence to claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

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The claim is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. We have to test the hypotheses on the difference between proportions.

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$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2$

The significance level is 0.01.

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$p_1=x_1/N_1=244/2135=0.114$

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$\sigma=\sqrt{\dfrac{p(1-p)}{N_1}+\dfrac{p(1-p)}{N_2}}=\sqrt{\dfrac{0.119*0.881}{2135}+\dfrac{0.119*0.881}{339}}\\\\\\\sigma=\sqrt{ 0.00036 }= 0.019$

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$P-value=P(z$

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