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rosijanka
1 month ago
5

Find the level of a two-sided confidence interval for t = 2.776 with sample size 5. express the answer as a percent.

Mathematics
1 answer:
Zina [12.3K]1 month ago
5 0
I'M JUST LOOKING FOR THE 10 POINTS THAT WERE WITHDRAWN, HAHAHAHAHA!
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The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs i
Leona [12618]

Answer:

Answer and Explanation:

We have:

Population mean,

μ

=

3

,

000

hours

Population standard deviation,

σ

=

696

hours

Sample size,

n

=

36

1) The standard deviation for the sampling distribution:

σ

¯

x

=

σ

√

n

=

696

√

36

=

116

2) By the central limit theorem, the sampling distribution's expected value matches the population mean.

Thus:

The expected value of the sampling distribution equals the population mean,

μ

¯

x

=

μ

=

3

,

000

The standard deviation of the sampling distribution,

σ

¯

x

=

116

The sampling distribution of

¯

x

is roughly normal due to a sample size greater than

30

.

3) The likelihood that the average lifespan of the sample falls between

2670.56

and

2809.76

hours:

P

(

2670.56

<

x

<

2809.76

)

=

P

(

2670.56

−

3000

116

<

z

<

2809.76

−

3000

116

)

=

P

(

−

2.84

<

z

<

−

1.64

)

=

P

(

z

<

−

1.64

)

−

P

(

z

<

−

2.84

)

=

0.0482

In Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)

4) The probability of the average life in the sample exceeding

3219.24

hours:

P

(

x

>

3219.24

)

=

P

(

z

>

3219.24

−

3000

116

)

=

P

(

z

>

1.89

)

=

0.0294

In Excel: =NORMSDIST(-1.89)

5) The likelihood that the sample's average life is lower than

3180.96

hours:

P

(

x

<

3180.96

)

=

P

(

z

<

3180.96

−

3000

116

)

=

P

(

z

<

1.56

)

=

0.9406

6 0
2 months ago
Estimate the unit rate to the nearest hundredth.<br><br> $1.19 per 12fl oz price of 1 fl oz
Zina [12379]
To determine the unit rate, divide 1.19 by 12, which gives the cost per ounce. 1.19/12 =.099 per ounce. Since this involves currency, round your answer to two decimal places unless stated otherwise. Rounding.099 results in $0.10 per ounce.
7 0
1 month ago
Read 2 more answers
Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in wi
Inessa [12570]

Respuesta:

Explicación paso a paso:

V=1/2lbh

V=1/2×15×8×6

V=360pulgadas

7 0
2 months ago
For each lettered part, a through c, examine the two given sets of numbers. without doing any calculations, decide which set has
Zina [12379]
<span>The distribution of a data set is indicated by the standard deviation, and the range can serve as an estimate for this characteristic. Consequently, Set b (100, 140, 150, 160, 200, 10, 50, 60, 70, 110) exhibits the greatest standard deviation due to its 190 range (i.e., 200 - 10).</span>
5 0
2 months ago
A health department spokesman speaking on a local radio station has advocated that parents download a particular app on their ph
AnnZ [12381]

Response:

Option E is the right choice.

A connection seems evident between the app and the reduction of daycare-related illnesses.

Step-by-step breakdown:

Research involved 1200 randomly chosen parents, revealing that the kids of parents who utilized the app had an average of 10 fewer cases of daycare illnesses compared to those whose parents didn’t download it during the study duration.

Reviewing the options individually

a. Since using the app appears to lower child sickness, its effectiveness should extend to decreasing child neglect as well.

The study indicates a reduction in daycare-related illnesses for those using the app but does not address neglect, making this conclusion incorrect.

b. Using the app will ensure daycare employees do not transmit germs.

The research didn't examine how the app functions, nor whether it stops daycare workers from transmitting germs. Thus, this conclusion lacks accuracy.

c. The analysis was performed as an experiment, not an observational study.

In reality, it was primarily observational. Such studies document results without manipulation by the researchers.

d. The sample size of the study was inadequate for drawing conclusions.

A pool of 1200 is sufficiently large to reflect the wider population’s characteristics. Therefore, this assertion is also incorrect.

e. A link seems to exist between the app and reduced transmission of daycare illnesses.

From the provided details, it’s clear that the findings of this study depict a link between using the app and a marked decrease in daycare-related illnesses among children of those who have downloaded it. Hence, the app likely plays a role in lowering the risk of such illnesses in their children.

Hope this is helpful!

6 0
2 months ago
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