Pls explain how to solve it! (Will mark brainylist)

Based on a random sample of 25 units of product X, the average weight is 102 lbs., and the sample standard deviation is 10 lbs.

Alex

Answer:

Step-by-step explanation:

Given that for a sample size of 25, sample mean = 102 lbs. and sample std deviation = 10 lbs.

$H_0: \bar x = 100\\H_a: \bar x >100$

(Right tailed test)

Given that we assume population is normally distributed

Test statistic:

Mean difference = +2

Std error of sample = $\frac{10}{\sqrt{25} } =2$

t = test statistic = Mean diff/Std error $= 1$

degree of freedom $= n-1 =24$

Critical value of t = 1.711

Our test statistic >1.71

Accept alternate hypothesis

Because there is significant difference between the test statistic and test statistic lies above critical value.

3 0

3 years ago

Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→1 1 − x + l

AfilCa [17]

$\displaystyle\lim_{x\to1}\frac{1-x+\ln x}{1+\cos5\pi x}$

Evaluating the limand directly at $x=1$ gives an indeterminate form $\dfrac00$ . Apply L'Hospital's rule once and we get

$\displaystyle\lim_{x\to1}\frac{-1+\frac1x}{-5\pi\sin5\pi x}$

Again, plugging in $x=1$ returns $\dfrac00$ . Apply the rule once more:

$\displaystyle\lim_{x\to1}\frac{-\frac1{x^2}}{-25\pi^2\cos5\pi x}=\frac1{25\pi^2}\lim_{x\to1}\frac1{x^2\cos5\pi x}$

Now, in the denominator, when $x=1$ we get $x^2\cos5\pi x=-1$ , so the limit is $-\dfrac1{25\pi^2}$ .

3 0

3 years ago

HELP PLS- 50pts!!! (This is Linear programming)- The amphitheater has two types of tickets available, reserved seats and lawn se

Alenkinab [10]

The Maximum profit occurs when 20,000 reserved seats are sold and the profit is $1,300,000

3 0

3 years ago

Last month, a factory produced 880 television sets. This month, the same factory produced 1,210 television sets. The increase in

Lostsunrise [7]

Answer:

330 television set

Step-by-step explanation:

Last month production = 880 television sets

This month production = 1,210 television sets

The increase in production from last month to this month = This month production - Last month production

= 1,210 - 880

= 330

The increase in production from last month to this month = 330 television set

7 0

3 years ago

Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as d

Alenkasestr [34]

Answer:

1) $\frac{5}{-14}$ =0.3571428571 2) Terminating

Step-by-step explanation:

1st. To answer this question let's divide with long division algorithm 5 and -14.

-14)50

42

---

80

-70

--

100

98

---

20

14

----

60

-56

---

40

28

--

120

-112

----

80

70

--

100

-98

--

2

5 (dividend) : -14 (divisor) $\frac{5}{-14}$

Long division (check below)

With the same two numbers -14 and 5 we can write in a Long Division

5) -14

5) -14

10

40

So $\frac{-14}{5}=-2.8$

2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.

$\frac{5}{-14}$ form.

$\frac{-14}{5}$ form.

3 0

3 years ago

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