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3 years ago

2+1-2+3+4+5+6+7(8) +7+7

Mathematics

1 answer:

Lyrx [107]3 years ago

6 0

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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3 years ago

There were 800 math instructors at a mathematics convention. Forty instructors were randomly selected and given an IQ test. The

Leya [2.2K]

Answer:

95% confidence interval for the mean of the 800 instructors is [126.80 , 133.20].

Step-by-step explanation:

We are given that there were 800 math instructors at a mathematics convention.

Forty instructors were randomly selected and given an IQ test. The scores produced a mean of 130 with a standard deviation of 10.

Firstly, the pivotal quantity for 95% 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 score = 130

s = sample standard deviation = 10

n = sample of instructors = 40

$\mu$ = population mean of 800 instructors

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

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.0225 < $t_3_9$ < 2.0225) = 0.95 {As the critical value of t at 39 degree of

freedom are -2.0225 & 2.0225 with P = 2.5%}

P(-2.0225 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.0225) = 0.95

P( $-2.0225 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.0225 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.0225 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.0225 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.0225 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.0225 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $130-2.0225 \times {\frac{10}{\sqrt{40} } }$ , $130+2.0225 \times {\frac{10}{\sqrt{40} } }$ ]

= [126.80 , 133.20]

Therefore, 95% confidence interval for the mean of the 800 instructors is [126.80 , 133.20].

5 0

3 years ago

Read 2 more answers

What is the value of X to the nearest tenth???

Y_Kistochka [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

Pls help as soon as possible

taurus [48]

Answer:

$\sf \implies \: - 6w - 8 + 1 -7w \\ \sf \implies \: - 6w - 7w - 7 \: \: \: \: \: \: \: \: \\ \sf \implies \: - 13w - 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hence, option (b) - 13w - 7 is correct.

Hope it helps you mate :)

8 0

2 years ago

2+1-2+3+4+5+6+7(8) +7+7​

2+1-2+3+4+5+6+7(8) +7+7