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3 years ago

Estimate 73,404 +27,865

Mathematics

1 answer:

wlad13 [49]3 years ago

8 0

An estimate here would be 73,500+ 28,000= 101,500 but the actual answer would be 101,269

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A sample of 81 tobacco smokers who recently completed a new smoking-cessation program were asked to rate the effectiveness of th

Kruka [31]

Answer:

95% confidence interval for the true mean score is [4.6 , 6.6].

Step-by-step explanation:

We are given that a sample of 81 tobacco smokers who recently completed a new smoking-cessation program were asked to rate the effectiveness of the program on a scale of 1 to 10.

The average rating was 5.6 and the standard deviation was 4.6.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average rating = 5.6

s = sample standard deviation = 4.6

n = sample of tobacco smokers = 81

$\mu$ = population mean score

Here for constructing 95% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean score, $\mu$ is ;

P(-1.993 < $t_8_0$ < 1.993) = 0.95 {As the critical value of t at 80 degree of

freedom are -1.993 & 1.993 with P = 2.5%}

P(-1.993 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.993) = 0.95

P( $-1.993 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.993 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.993 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.993 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.993 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.993 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $5.6-1.993 \times {\frac{4.6}{\sqrt{81} } }$ , $5.6+1.993 \times {\frac{4.6}{\sqrt{81} } }$ ]

= [4.6 , 6.6]

Therefore, 95% confidence interval for the true mean score is [4.6 , 6.6].

4 0

2 years ago

I just made a purchase of $130.00 but once I got my car and looked at the receipt, I realized the salesperson who helped me did

Andrej [43]

Answer:

Guessing you want me to figure out what your cost should have been. On it!

Step-by-step explanation:

130 * .15 = 19.5

130 - 19.5 = $110.5

That should be the new cost.

5 0

1 year ago

Solve for w 14= -7/8w , show your work

cestrela7 [59]

Answer:

Step-by-step explanation:

14 = -7w/8

Cross multiply

-7w = 14 × 8

-7w = 112

w = 112/-7

w = -16

3 0

2 years ago

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel

Liula [17]

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

μₓ = mean of variable x (rainfall in inches)

μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

when x = 7.1

y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.

7 0

2 years ago

It costs $15 to send 3 packages through a certain shipping company. Consider the number of packages per dollar. a. Find the cons

Contact [7]

x is the number of packs 3x=15$ x=5$

6 0

2 years ago