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S_A_V [24]
3 years ago
9

A teacher instituted a new reading program at school. after 10 weeks in the​ program, it was found that the mean reading speed o

f a random sample of 21 second grade students was 94.8 wpm. what might you conclude based on this​ result? select the correct choice below and fill in the answer boxes within your choice
Business
2 answers:
Bess [88]3 years ago
5 0

Answer:

0.0139

Explanation:

Given that:

The number of sample (n) = 21

The sample distribution has mean (μ) and a standard deviation of σ/√n

The z score is given as (x - mean)/ standard deviation

x = 94.8 wpm, let us assume that σ = 10 and μ = 90

Therefore: z = (x - μ) / (σ/√n) = (94.8 - 90) / (10/√21) = 2.2

To calculate the probability using Z table:

P(X>94.8) = P(Z>94.8) = 1 - P(Z<94.8) = 1 - 0.9861 = 0.0139

The probability is low that is less than 0.05, the program is more effective than the old one.

ira [324]3 years ago
3 0

Additional information:

This question is part of a much longer question, and this would be part D which refers to a new reading program. The difference with the old data collected is that before only 10 students were tested. Now the question asks why would there be a large variation in the sample mean, from 88 words per minute to 94.8 wpm.

The first data collected had a mean of 88 wpm and a standard deviation of 10 wpm.

Answer:

The program is effective since the probability of obtaining 94.8 wpm from a larger sample doesn't fall within the normal distribution and 95% confidence interval.

Explanation:

we are given the mean = 94.8

we must calculate z = (94.8 - 88) / (10 / √21) = 6 / 2.182 = 2.7495

now we find the probability that X is between the confidence interval using a normal distribution:

P(X > 94.8) = P(z > 2.7495) = 1 - P(z < 2.7495)*

= 1 - 0.997016 = 0.002984

Since the probability of z < 2.7495 at P <0.05 is very small (only 0.002984), then we can conclude that the new method was a success.

*I used a P-value calculator using z = 2.7495 and 5% significance.

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Help!
natali 33 [55]

Answer:

B) Pay bills when they are due.

Explanation:

A loan can be defined as an amount of money that is being borrowed from a lender and it is expected to be paid back at an agreed date with interest.

Generally, the financial institution such as a bank lending out the sum of money usually requires that borrower provides a collateral which would be taken over in the event that the borrower defaults (fails) in the repayment of the loan.

A credit score can be defined as a numerical expression between 300 - 850 that represents an individual's financial history and credit worthiness. Therefore, a credit score determines the ability of a borrower to obtain a loan from a lender.

This ultimately implies that, the higher your credit score, the higher and better it is to obtain a loan from a potential lender. A credit score ranging from 670 to 739 is considered to be a good credit score while a credit score of 740 to 799 is better and a credit score of 800 to 850 is considered to be excellent.

Generally, it's recommended that loans or bills are paid on a timely basis or as at when due in order to obtain a good credit score.

Hence, a way to establish a good credit record (score) is to pay bills when they are due.

6 0
3 years ago
Harlose Suits owns more equipment than required for manufacturing goods during periods of regular demand in order to tackle sudd
alex41 [277]

Answer:

Harlose Suits owns more equipment than required for manufacturing goods during periods of regular demand in order to tackle sudden demand surges. It also has a certain reserve of produced goods to tackle material shortages. In this case, the reserve of equipment and produced goods are examples of <u>the</u> <u>capacity cushion</u>.

Explanation:

The capacity cushion is the amount of reserve capacity that a business keeps to manage sudden increases of demand or momentarily losses of production capacity.

5 0
3 years ago
William installs custom sound systems in cars. If he installs seven systems per day, his total costs are $300. If he installs ei
Margarita [4]

Answer:

D. $100

Explanation:

Given: William install 7 system per day at the cost of $300.

           William install 8 system per day at the total cost of $400.

Remember, If the marginal cost curve is upward-sloping, this means that as output increase, marginal costs will also increase.

Marginal cost is an additional cost incurred in producing additional unit of output.

Now, finding additional payment that eighth customer has to pay.

Change in marginal cost= Cost\ incurred\ in\ installing\ 8\ system - cost\ incurred\ in\ installing\ 7\ system

⇒ Change in marginal cost=  \$400-\$300

∴  Change in marginal cost= \$ 100

Hence, there is an increase in marginal cost by $100 as output increases, therefore, William will install eight sound systems per day only if the eighth customer is willing to pay at least $100.

5 0
3 years ago
The refractive index of a rarer medium with respect to a denser medium is.....
vekshin1

Answer:

B) Smaller Than 1

Explanation:

Snell's Law states that the ratio of the sines of incidence and refraction is equal to the ratio of the phase of velocities in the two phases. When light travels from a rarer medium like air to a denser medium like water, the light would be refracted towards the normal line. For example, the refractive index of air with respect to glass is represented as;

<em>sin i / sin r</em>

If light rays travel from glass which is a denser medium to a rarer medium which is air, the light rays would bend away from the normal line, and then the angle of refraction would be greater than the angle of incidence. So, the refractive index of the rarer medium which is air with respect to the denser medium which is glass will be smaller than 1.

8 0
3 years ago
Amy and Todd Irving's monthly expenses for June, July, and August are as follows: June: $3,260, July: $3,537, and August: $3,430
Sunny_sXe [5.5K]

The correct answer is $3409

Explanation:

The average refers to the number or value that represents the "mean" or "middle point" in two or more values. Moreover, the general rule to find this value is to add all the values, in this case, it is necessary to add the expenses of the three months, and then divide the total by 3 (number of values) as there are three months. The process is shown below:

$3260 + $3537 + $3430 = $10227

10227 ÷ 3 = 3409

3 0
3 years ago
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