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Kaylis [27]
2 years ago
14

A statistics professor drew a random sample of 81 observations and found that x with bar on top equals 62 s equals 15. Estimate

the LCL of the population mean with 90% confidence. Report your answer to two decimal places.
Mathematics
1 answer:
ratelena [41]2 years ago
3 0

Answer:

LCL = 59.26 to two decimal places

Step-by-step explanation:

Here, we want to estimate the LCL of the population mean with 90% confidence

We proceed as follows;

Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15

Mathematically;

LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81

LCL = 62- (24.675)/9 = 59.2583

LCL = 59.26 to two decimal places

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frosja888 [35]
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8 0
2 years ago
In a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979,
Fed [463]

Answer:

we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years

Step-by-step explanation:

Given that in a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979, two groups of childless wives aged 25 to 29 were selected at random, and each was asked if she eventually planned to have a child. One group was selected from among wives married less than two years and the other from among wives married five years.

Let X be the group married less than 2 years and Y less than 5 years

                         X        Y     Total

Sample size   300   300    600

Favouring       240   288    528

p                      0.8     0.96  0.88

H_0: p_x=p_y\\H_a: p_x>p_y

p difference = -0.16

Std error for difference = \sqrt{0.88*0.12/600} =0.01327

Test statistic = p difference/std error=-6.03

p value <0.000001

Since p is less than alpha 0.05 we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years

4 0
2 years ago
Six pipes are laid end to form a row.each pipe is 9 1/3 inches long.how long is the row of pipes in feet?
laiz [17]

six pipes are laid end to end to form a row. Each pipe is 9 1/3 inches long. how long is the row of pipes, in feet?

Answer:

4.67 feet or 4 feet 8 inches or 4\frac{2}{3}feet

Step-by-step explanation:

Let x be the length of the row pipes.

Given:

Number of pipes = 6

Each pipe has length 9\frac{1}{3} inches. and six pipes are laid end to end to form a row.

The total length of the row is equal to length of the 6 pipes.

So, total length of row = Number of pipes \times Length of the pipe

x=\frac{28}{3}\times 6

x=28\times 2

x=56 inches

convert inch into feet.

x=\frac{56}{12}

x=4.67 feet

Therefore, The length of the row is 4.67 feet or 4 feet 8 inches or 4\frac{2}{3}feet .

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2 years ago
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Answer:

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5 0
2 years ago
How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?
tatuchka [14]
<span>So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> <u>73</u> - <u>17  </u> = <u>73 x 6 </u> - <u>17 x 8 </u> <u>
</u>       8      6        8 x 6       6 x 8</span><span>
=> <u>438</u> – <u>136 </u> Now, we have the same denominator, subtract</span><span>
      48       48
=> <u>302 </u> or  <u>151</u>
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Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.</span>



4 0
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