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taurus [48]
2 years ago
11

The time (in number of days) until maturity of a certain variety of tomato plant is Normally distributed with mean μ. You select

a simple random sample of four plants of this variety and measure the time until maturity. The four times, in days, are as follows: 63 69 62 66 with standard deviation 3.16.
Required:
Calculate the 99% confidence interval for population mean μ. Find the closest answer
Mathematics
1 answer:
VLD [36.1K]2 years ago
7 0

Answer: 60.93 < μ < 69.07

Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a <u>99% confidence interval</u> means we are 99% confident the true mean is between the lower and upper limits.

To find the interval, use

x±z\frac{s}{\sqrt{n}}

z is z-score related to the % of confidence level

In this case, a 99% confidence interval is 2.576

x is sample mean

Calculating:

x=\frac{63+69+62+66}{4}

x = 65

65±2.576\frac{3.16}{\sqrt{4}}

65±4.07

Confidence Interval: 60.93 < μ < 69.07

Meaning that we are 99% sure the population means is between 60.93 and 69.07.

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Find the amount withheld for Social Security weekly:
stira [4]

The amount withheld for Social Security weekly: $21.70.

<h3>Social security</h3>

Social security rate is 6.2% or 0.062

Weekly salary=$350

Using this formula

Social security=Social security rate×Weekly salary

Let plug in the formula

Social security=0.062×$350

Social security=$21.70

Therefore the amount withheld for Social Security weekly: $21.70.

Learn more about Social security here:brainly.com/question/1156607

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7 0
1 year ago
Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish
Luba_88 [7]

Answer:

14

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = \frac{1}{6}

Total pounds of pebbles that Timothy can use = 2\frac{1}{3}

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}

Now, the given mixed fraction can be converted to fractional number as:

2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}

<em>14</em> number of fish bowls can be filled.

3 0
3 years ago
Help fast!!!
torisob [31]
Expected is -3
Expect to lose $3… bad game right there!
5 0
2 years ago
HELP ILL GIVE BRAINLIEST
Ksivusya [100]

Answer: The answer is B

Hope this helped love<3

3 0
2 years ago
Angie mixes 7 2/3 pints fruit juice and 3 1/4 pint sprite to make punch far a party. she has 6 pints left at the end of the part
lana66690 [7]

Answer:

16 11/12

Step-by-step explanation:

7 2/3 + 3 1/4 =

7 8/12 + 3 3/12 =

10 11/12 + 6

16 11/12

5 0
2 years ago
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