PLEASE ANSWER !

According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City

Neporo4naja [7]

Answer:

Test statistic (t-value) of this one-mean hypothesis test is -2.422.

Step-by-step explanation:

We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.

We have to test if the amount of TV in New York City is less than the national average.

Let Null Hypothesis, $H_0$ : $\mu$ $\leq$ 3 {means that the amount of TV in New York City is less than the national average}

Alternate Hypothesis, $H_1$ : $\mu$ > 3 {means that the amount of TV in New York City is more than the national average}

The test statistics that will be used here is One-sample t-test statistics;

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

where, $\bar X$ = sample mean time = 2.5 hours per week

$s$ = sample standard deviation = 0.09 hours

n = sample size = 19

So, <u>test statistics</u> = $\frac{2.5 - 3}{\frac{0.9}{\sqrt{19} } }$ ~ $t_1_8$

= -2.422

Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.

8 0

4 years ago

Helllp please<br>Can you please tell me how to do this question

Likurg_2 [28]

｡☆✼★ ━━━━━━━━━━━━━━ ☾

x = a - 2by^2

- a

x - a = -2by^2

/-2b

(x - a)/-2b = y^2

square root it:

y = √(x - a)/-2b

(note : everything is inside the square root)

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

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4 0

4 years ago

What is 3/4 of a number minus -16 equals 28. what is the number

dalvyx [7]

3/4x - 16 = 28
+16 +16
3/4x = 44
*3/4 *3/4
x = 176/3

7 0

3 years ago

Data collected at Toronto Pearson International Airport suggest that an exponential distribution with mean value 2,725 hours is

Rzqust [24]

Answer:

$P(X >2)$

And we can calculate this with the complement rule like this:

$P(X>2) = 1-P(X$

And using the cdf we got:

$P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$