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Elena L [17]
2 years ago
14

Your paycheck this week is $241. You put the $114 in a savings account that pays an interest

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
5 0

Answer:

$122.9

Step-by-step explanation:

Given data

Principal= $114

Rate= 3.9%

Time= 2 years

The amount in the account is given as

A=P(1+rt)

substitute

A=114(1+0.039*2)

A=114(1+0.078)

A=114(1.078)

A=$122.9  

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In tests of a computer component, it is found that the mean time between failures is 937 hours. A modification is made which is
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Answer:

Null hypothesis is \mathbf {H_o: \mu > 937}

Alternative hypothesis is \mathbf {H_a: \mu < 937}

Test Statistics z = 2.65

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P- value = 0.004025

Step-by-step explanation:

Given that:

Mean \overline x = 960 hours

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Given that the mean  time between failures is 937 hours. The objective is to determine if the mean time between failures is greater than 937 hours

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Alternative hypothesis is \mathbf {H_a: \mu < 937}

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Z = \dfrac{960-937 }{\dfrac{52}{\sqrt{36}}}

Z = \dfrac{23}{8.66}

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The decision rule is to reject null hypothesis   if  test statistics is greater than  critical value.

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

The P-value can be calculated as follows:

find P(z < - 2.65) from normal distribution tables

= 1 - P (z ≤ 2.65)

= 1 - 0.995975     (using the Excel Function: =NORMDIST(z))

= 0.004025

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