Would you be breaking the speed limit in a 40 mi/h zone if you were traveling at 60km/h?

A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.

nika2105 [10]

Answer:

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

$\bar X=2.55$ represent the sample mean for the late time for a flight

$\mu$ population mean

$\sigma=12$ represent the population deviation

n=76 represent the sample size

Confidence interval

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

The confidence interval for the true mean is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level given is 0.95 or 95%, th significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ . If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got $z_{\alpha/2}=1.96$

Replacing we got:

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0

3 years ago

23 x 32 is the prime factorization for which one of these choices?

antoniya [11.8K]

<h2>Answer:</h2>

⟶ 2³ × 3² is the prime factorization for which one of these choices?

Let's check,

1) 6 = 3 × 2 [So, obviously not this choice]

2) 25 = 5 × 5 = 5² [Not this either]

3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]

4) 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3² [Matches]

⟶ The answer is, choice 72.

$\underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}$

3 0

3 years ago

Jaquan invested $250 earning simple interest at 5% per year for a total of three years.

lions [1.4K]

Answer:

v

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP! ASAP! I WILL GIVE BRAINLIEST What is 365x853. Can you help me? Thank you!

Pavel [41]

311,345

Hope this helps!

4 0

3 years ago

Read 2 more answers

Find the volume of the triangular prism

andrew-mc [135]

Answer:

32inch³

Step-by-step explanation:

formula= ½bh²

½×4×4×4

½×64

= 64/2

=32inches³

7 0

2 years ago