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3 years ago

A t-shirt increased in price by

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

Answer:

Step-by-step explanation:

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Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0

4 years ago

Please help asap anything helps

garik1379 [7]

Answer:

1.) 2.5 meters a second

Step-by-step explanation:

1 min 12 seconds is 72 seconds. 28 meters on 72 seconds. 28×2.5=72

8 0

4 years ago

Compute the number of vinyl tiles, measuring 25 cm each side, needed to tile a kitchen measuring 102 ft. by 18 ft. Try not to ro

nadya68 [22]

Answer: 2730 tiles (Approx)

Step-by-step explanation:

Since, The side length of each side = 25

According to the question the shape of the tile is square.

Thus, the area of one tile = 25 × 25 = 625 $cm^2$

Also, we need to tile a kitchen measuring 102 ft. by 18 ft

Thus, the area of the room in which we have to tile = 102 × 18 = 1836 $feet^2$ = 1836×30.48 × 30.48 = 1705699.8144 $cm^2$

Thus, the total number of the tiles = the area of the room in which we have to tile / the area of one tile = $\frac{1705699.8144}{625} = 2729.11970304$