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Viktor [21]
3 years ago
12

The length of human pregnancy is known to have a mean of 266 days and a standard deviation of 16 days. Based on records from a l

arge women's hospital, a random sample of 25 women who were smoking and/or drinking alcohol during their pregnancy and their pregnancy lengths are recorded in the datafile linked below. Do the data provide enough evidence to support the (well-known) fact that women who smoke and/or drink alcohol during their pregnancy have shorter pregnancies than women in general (in other words, are more likely to have premature labor)?
Pregnancy Length (days)
256
276
252
271
239
302
249
246
229
228
235
267
293
249
270
294
260
258
250
242
282
283
237
257
267
1) State the null and alternative hypotheses, and define clearly what the parameter μ represents.
2) Have the conditions that allow us to safely use the z-test been met? support your answer
3) Compute the test statistic and interpret its value
4) State the p-value, and draw your conclusions in context.
Mathematics
1 answer:
omeli [17]3 years ago
8 0

Answer:

H0: μ ≥ 266

H1 : μ < 266

Yes, condition for Ztest have been met.

-1.975

Step-by-step explanation:

Given that:

μ = 266

Sample size, n = 25

Sample mean, x = 259.68

The Null hypothesis, H0: μ ≥ 266

The Alternative hypothesis, H1 : μ < 266

The test statistic, :

(x - μ) ÷ (s/sqrt(n)

(259.68 - 266) ÷ (16/sqrt(25))

−6.32 / 3.2

= - 1.975

Using the Pvalue from Zstatistic calculator :

Pvalue, one tail test at 0.05, Zscore = - 1.975

Pvalue = 0.024134

Since ;

Pvalue < α ; reject Null

0.024 < 0.05 ;

The is significant evidence to support the claim that women who smoke during their pregnancy have shorter pregnancy than general women.

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Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for sev
stich3 [128]

Answer:

105

Step-by-step explanation:

t = 0

frame = 190

so it means, the video has 190 before the timer start counting

speed 25 fps

-------

t = -3 2/5 s = -17/5 s

frame = ?

with the rate of 25 fps

it gain 25 x -17/5 = 85 frame.

so the video at that time has already played

190-85 = 105 frame

5 0
3 years ago
What type of angle pair are 2 and 5 in the figure below
kvv77 [185]

Answer:

VERTICALLY OPPOSITE ANGLES

HAVE A BEAUTIFUL DAY

PLEASE MARK THIS ANSWER AS THE BRAINLIEST

3 0
3 years ago
Given that angle one is congruent to angle to how do you prove that P is parallel to Q
Sonbull [250]

Answer:

assemble the proof by dragging tiles to the statements and reasons columns.

angles: ~= , <1 , <2 , <3,

lines: | | , p , q ,

statements: <1 and <3 are vertical reasons: given , transitive property , vertical angles theorem , def. of vertical

Step-by-step explanation:

3 0
3 years ago
The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988,
Alex17521 [72]

In time period of 1980-1988 the rate of ticket price is $0.2 per year
Between time period 1989-1993 there is constant rate.
Between year 1994-2011 the increase in rate is same $0.2 per year

The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011.

<h3>What is Statistic?</h3>

The statistic is the study of mathematics which deal with relations between comprehensive data.

The graph is not available, in the question, so the graph could be as attached
For period 1980-1988
rate of change = 4.2-2.8/ 8 = 0.2
In time period of 1980-1988 the rate of ticket price is $0.2 per year

for period 1989-92 there is a straight line so,
Between time period 1989-1993 there at constant rate.

For period, 1994-2011

rate of change = 4.4-8/17 = 0.2
Between year 1994-2011 the increase in rate is same $0.2 per year

Thus, for the 3 Time period we have rate of change in ticket price is $0.2 per year, no change in ticket price, $0.2 per year respectively.

Learn more about Statistics here:
brainly.com/question/23091366

#SPJ1

5 0
2 years ago
The mass of a dust particle is approximately
trasher [3.6K]

Answer:

Given:

  • \textsf{Mass of a dust particle} = \sf 7.5 \times 10^{-10}
  • \textsf{Mass of an electron} = \sf 9.1 \times 10^{-31}

To calculate how many electrons have the same mass as one dust particle, divide the mass of a dust particle by the mass of an electron:

\begin{aligned}\implies \dfrac{\textsf{Mass of a dust particle}}{\textsf{Mass of an electron}} & = \sf \dfrac{7.5 \times 10^{-10}}{9.1 \times 10^{-31}}\\\\& = \sf \dfrac{7.5}{9.1} \times \dfrac{10^{-10}}{10^{-31}}\\\\& = \sf 0.8241... \times 10^{(-10-(-31))}\\\\& = \sf 0.8241... \times 10^{21}\\\\& = \sf 8.2 \times 10^{20}\end{aligned}

Therefore, approximately \sf 8.2 \times 10^{20} electrons have the same mass as one dust particle.

8 0
2 years ago
Read 2 more answers
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