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rosijanka [135]
2 years ago
7

The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24.5 ounces of cereal (as labe

led on the box). At various times in the packaging process, we select a random sample of 100 boxes to see if the machine is (on average) filling the boxes as labeled. On Tuesday morning, at 7:45 a.m., a random sample of 100 boxes produced an average amount of 23.6 ounces.
Define an appropriate statement of the null hypothesis
Mathematics
1 answer:
astra-53 [7]2 years ago
7 0

Answer:

Null Hypothesis, H_0 : \mu = 24.5 ounces

Alternate Hypothesis, H_A : \mu\neq 24.5 ounces

Step-by-step explanation:

We are given that the makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24.5 ounces of cereal.  

On Tuesday morning, at 7:45 a.m., a random sample of 100 boxes produced an average amount of 23.6 ounces.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average amount of cereals fitted in the boxes</em></u>

So, Null Hypothesis, H_0 : \mu = 24.5 ounces

Alternate Hypothesis, H_A : \mu\neq 24.5 ounces

Here, <u>null hypothesis states that</u> the automated packaging machine fill boxes with 24.5 ounces of cereal.

On the other hand, <u>alternate hypothesis states that</u> the automated packaging machine fill boxes with cereal different from 24.5 ounces.

So, this would be the appropriate hypothesis for conducting the test.

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The weight of a box of cereal can vary by of an ounce and still be sold as a full box. Each box is supposed to contain 18 ounces
mezya [45]

Answer:

If a box is supposed to contain 18 ounces, and the acceptable error is 1 ounce, then the acceptable range is:

18 oz - 1oz = 17oz to 18oz + 1oz = 19oz

Then the acceptable range is (17oz, 19oz)

if the weight is smaller than 17 oz, the box is not acceptable.

If the weight is bigger than 19 oz, the box is not acceptable.

Then the graph of the boxes that can not be sold as full boxes is:

<---16---------17-------18--------19-------20----------->

where 17oz and 19oz are not included, because are acceptable weigths.

8 0
2 years ago
Read 2 more answers
The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly emp
MrRa [10]

Given:

  • The table of typical hours worked by employees at a company
  • salaried employee makes $78,000 per year
  • hourly employees get $26 per hour and $39 per hour when they work more than 40 hours.

To Find: Which payment option to recommend to a new employee.

Solution: I would recommend being a salaried employee.

Explanation:

We begin by calculating the typical number of hours worked per week.

Adding up the hours from the table, we have 0+8+8.5+9.5+10+8+3=47.

The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.

So, the payment for 47 hours of work per week will be (26)(40) + (39)(7) = 1313 dollars.

As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be (1313)(52) = 68276. That is, an hourly employee would earn $68276.

On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.

Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.


6 0
2 years ago
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The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented
larisa86 [58]

Answer: 10.2

Step-by-step explanation:

3 0
2 years ago
12. Venu and Tanuj are running along a circular track. They take 48 seconds and 56 seconds to
brilliants [131]

Answer:

The meet at first time at starting point after 336 seconds,

Vanu have completed 7 laps while Tanuj has completed 6 laps.

Step-by-step explanation:

Given that Venu and Tanuj take 48 seconds and 56 seconds to

complete a lap respectively.

To meet them again at the startiong point, the  time taken must be multiple of 56 and 48.

So, the minimum time required to meet them again at the startiong point is time taken for first time meet.

Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.

Number of laps by Venu

=\frac{336}{48}=7

Number of laps by Tanuj

=\frac{336}{56}=6

8 0
2 years ago
What are the lengths of sides KN and NM of the kite?<br> KN = <br> units<br> NM = <br> units
Natalka [10]
Y+10= 2y+5
10=y+5
5=y

Plug this in
(5)+10=15 for KN


2x+6=3x-1
6=x-1
7=x

Plug this value in
2(7)+6
14+6= 20 for NM
7 0
2 years ago
Read 2 more answers
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