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3 years ago

What is greater 60% or 5.8

Mathematics

2 answers:

Ray Of Light [21]3 years ago

8 0

I think 5.8 would be greater than 60% as it become 0.6

Jet001 [13]3 years ago

5 0

The answer is 5.8 because 60% when made into a decimal is 0.60. It's not a whole. Where as 5.8 when turned into a percentage is actually 580%.

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The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of 10 batteries

Nat2105 [25]

Answer:

(1) We are conducting the one-sample t-test and will be testing for the hypothesis of mean battery greater than 25 h. So, we will reject the null hypothesis for mean battery life equal to 25 hr against the alternative hypothesis for mean battery life greater than 25 hr.

(2) A 95% lower confidence interval on mean battery life is 25.06 hr.

Step-by-step explanation:

We are given that a random sample of 10 batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lifetimes (in hours) are obtained: 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean BAC = $\frac{\sum X}{n}$ = 26 hr

s = sample standard deviation = $\sqrt{\frac{\sum(X - \bar X)^{2} }{n-1} }$ = 1.625 hr

n = sample of batteries = 10

$\mu$ = population mean battery life

Here for constructing a 95% lower confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

(1) It is stated that the manufacturer wants to be certain that the mean battery life exceeds 25 h.

Since we are conducting the one-sample t-test and will be testing for the hypothesis of mean battery greater than 25 h. So, we will reject the null hypothesis for mean battery life equal to 25 hr against the alternative hypothesis for mean battery life greater than 25 hr.

(2) So, a 95% lower confidence interval for the population mean, $\mu$ is;

P(-1.833 < $t_9$ ) = 0.95 {As the lower critical value of t at 9

degrees of freedom is -1.833 with P = 5%}

P(-1.833 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $-1.833 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ ) = 0.95

P( $\bar X-1.833 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ ) = 0.95

95% lower confidence interval for $\mu$ = [ $\bar X-1.833 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $26-1.833 \times {\frac{1.625}{\sqrt{10} } }$ ]

= [25.06 hr]

Therefore, a 95% lower confidence interval on mean battery life is 25.06 hr.

5 0

3 years ago

A map of Texas has a scale of 1 in : 65 mi. The distance from dallas to San Antonio is 260 miles. What is the distance on the ma

riadik2000 [5.3K]

Answer:

We can write this as a proportion equation:

260

Multiply each side of the equation by

260

to solve for

while keeping the equation balanced:

260

Step-by-step explanation:

7 0

3 years ago

The line of the equation are parallel, perpendicular,or neither y=2x+3. y=2x

m_a_m_a [10]

They are parallel to each other

5 0

4 years ago

6(10 - w) when w = 7 Show your work

AVprozaik [17]

Answer:

Step-by-step explanation:

you always do the parenthesis first

10-7=3

6x3=18

8 0

3 years ago

What is -18+11= a. postive b. negative c. zero

Lera25 [3.4K]

Well, you know that the sum of those two numbers aren't zero, as they aren't additive inverses of each other. The sum of these numbers will, furthermore, take the sign of the "greater" number without its sign. For example, 2-3 would be negative, since the negative sign of "3" is of the greater number without its sign.

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3 years ago

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