A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The professor wants to find a sample mean that is within 4.266 hours of the true average for all college students at the university with 99% conconfidence. If the professor knows the standard deviation of the sleep times for all college students is 2.539, what sample size will need to be taken

Answers

Answer 1
Answer:

Answer:

The sample size is n = 2

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  \sigma = 2.539

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  (\alpha )/(2) is  

   Z_{(\alpha )/(2) } =  2.58

Generally the sample size is mathematically represented as  

   n = [\frac{Z_{(\alpha )/(2) } *  \sigma }{E} ] ^2

=>  n = [(2.58  *  2.539  )/(4.266) ] ^2

=>  n = 2


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What is the circumference of the circle?1) 2 by 6 rectangle is inscribed in circle

2) 5 by 5 square is inscribed in circle

3) 5 by 6 rectangle is inscribed in circle

4)2 by 15 rectangle is inscribed in circle

5) 1 by 12 rectangle is inscribed in circle​

Answers

I think it is 2 hope this helped you

Answer:

1. 6 pi

2. 7 pi

3. 8 pi

4. 15 pi

5. 12 pi

Step-by-step explanation: Just took the USATestprep test and got them all correct, sorry I dont have a proper answer on how I got them.

Please help it’s due at 5

Answers

Answer:

nei prossimi giorni, che si è svolto il convegno

A company’s total cost from manufacturing and selling x units of their product is given by: y = 2x2 – 600x + 49,000. How many units should be manufactured in order to minimize cost, and what is the minimum cost?a. (100, $9,000)b. (125, $3,250)c. (150, $4,000)d. (170, $4,800)e. (200, $9,000)

Answers

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

y=2x^2-600x+49000

We need to find the number of units in order to minimize cost.

We first derivative w.r.t. x,

y'=4x-600

For critical points:

y'=0\n\n4x-600=0\n\n4x=600\n\nx=(600)/(4)\n\nx=150

Now, we will check whether it is minimum or not.

We will find second derivative .

y''=4>0

So, it will yield minimum cost.

Minimum cost would be

y(150)=2(150)^2-600* 150+49000\n\ny(150)=\$4000

Hence, At 150 units, minimum cost = $4000

Therefore, Option 'c' is correct.

An athlete eats 85 grams of protein per day while training. How much is this in milligrams ?

Answers

Answer: 85,000 milligrams

1 gram= 1,000 milligrams

85 × 1,000 = 85,000 milligrams

Help me out please need help !!

Answers

The answer is 1.25m + 3.50 = 12.35

Answer:

Step-by-step explanation:

1.25 m + 3.50 = 12.35

3.50 the flat fee you just add up to the total

1.25 m you can see it depends on m the miles

12.35 is the total

2+3(67x34 =y =?

Pls answer this I need the answer now you’ll get 35 points

Answers

Assuming you meant 2+3(67x34)=y
67x34=2278
2+3(2278)=y
5(2278) or 5x2278=y
y=11390

Answer:

yeah ^

Step-by-step explanation: