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

3 years ago

Which construction must you do to construct a triangle given the lengths of two sides and the measure of the angle between the t

Marina86 [1]

The goal is to construct a triangle. If you choose A) you will only have two lines connecting, with an angle of 90°. If you choose B) you cannot have a triangle also with 2 lines only. Neither D). So choose C) construct an angle congruent to a given one-- connect the lines and produce a perfect triangle.

5 0

3 years ago

What do you know to be true about the values of a and b?

algol [13]

but how can we determine if there is no pic

3 0

2 years ago

Sam has an I-tunes card to purchase music after purchasing 7 songs his balance on the card is 41.25. The balance of the card was

NNADVOKAT [17]

Answer:

93.75

Step-by-step explanation:

well think about this he purchased 7 songs then he is left with $ 41.25 on his card then he bought 18 songs for 27.50 would tell you how much was used what it wants is for you to figure out the starting number using the equation 7+18= 25 and 41.25+27.50= 68.70. which would make 68.70+ 25= 93.75

6 0

2 years ago