A machinist wishes to insert a copper rod

September 29, 2019/in Questions Uploads /by Hannah Wangui

Question

A machinist wishes to insert a copper rod with a diameter of 3 mm into a hole with a diameter

of 2.992 mm. By how much would the machinist have to lower the temperature (in °C) of the rod to make it fit the hole?

________ °C

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A cylinder has a radius of 5

September 29, 2019/in Questions Uploads /by Hannah Wangui

Question

Question 1:
A cylinder has a radius of 5

5 m

m and a height

of 11
11 m

m. Identify the volume of the cylinder to the nearest tenth.

V = 863.9 m3

V = 345.6 m3

V = 172.8 m3

V = 910.7 m3

Question 2:

A cylinder has a base area of 169π

169π cm

2

cm2. Its height is 4

4 cm

cm more than the radius. Identify the volume of the cylinder to the nearest tenth.

V = 4778.4 cm3

V = 1388.6 cm3

V = 9025.8 cm3

V = 735.1 cm3

Question 3:

Identify the volume of a cone with a base area 25π

25π m

2

m2 and a height equal to three times the radius.

V = 2536.2 m3

V = 209.4 m3

V = 6135.9 m3

V = 392.7 m3

Question 5:

Identify the volume of a regular triangular pyramid with base edge length 14

14 ft

ft and height 9

9 ft

ft.

2291.5 ft3

588 ft3

254.6 ft3

1764 ft3

Question 6:

Identify the volume of a rectangular pyramid with length 16

16 m

m, width 12

12 m

m, and height 17

17 m

m.

1088 m3

1156 m3

1450.7 m3

3264 m3

Question 7:

A regular hexagonal prism has an edge length 12

12 cm

cm, and height 10

10 cm

cm. Identify the volume of the prism to the nearest tenth.

V = 7482.5 cm3

V = 3741.2 cm3

V = 1870.6 cm3

V = 2776.2 cm3

Question 8:

The length, width, and height of a rectangular pyramid are multiplied by 1

2

Which of the following describes the effect on the volume?

The volume is multiplied by 1/6.

The volume is multiplied by 3/2.

The volume is multiplied by 2.

The volume is multiplied by 1/8.

Question 9: 10 pts

The radius and the height of the cylinder are multiplied by 4. What will be the effect on the volume of the cylinder?

The radius and the height of the cylinder are multiplied by 4

What will be the effect on the volume of the cylinder?

The volume is multiplied by 1/64.

The volume is multiplied by 1/4.

The volume is multiplied by 4.

The volume is multiplied by 64.

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Unfortunately, arsenic occurs naturally in some ground water

September 29, 2019/in Questions Uploads /by Hannah Wangui

Question

Unfortunately, arsenic occurs naturally in some ground water style=”color:#0000FF;”>†. A mean arsenic level of μ = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use α = 0.01.(a) What is the level of significance?
State the null and alternate hypotheses.H₀: μ = 8 ppb; H₁: μ ≠ 8 ppbH₀: μ > 8 ppb; H₁: μ = 8 ppb    H₀: μ = 8 ppb; H₁: μ < 8 ppbH₀: μ = 8 ppb; H₁: μ > 8 ppbH₀: μ < 8 ppb; H₁: μ = 8 ppb
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.The Student’s t, since the sample size is large and σ is known.The standard normal, since the sample size is large and σ is unknown.    The Student’s t, since the sample size is large and σ is unknown.The standard normal, since the sample size is large and σ is known.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Estimate the P-value.P-value > 0.2500.100 < P-value < 0.250    0.050 < P-value < 0.1000.010 < P-value < 0.050P-value < 0.010

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?At the α = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.At the α = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.    At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.There is sufficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than 8 ppb.There is insufficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than 8 ppb.

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Syllables were categorized as long or short

September 29, 2019/in Questions Uploads /by Hannah Wangui

Question

Syllables were categorized as long or short. On analyzing

Plato’s Republic, Wishart and Leach found that about 26.1% of the five-syllable sequences are of the type in which two are short and three are long. Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato’s time (about 427 – 347 B.C.). A random sample of 311 five-syllable sequences from the newly discovered manuscript showed that 60 are of the type two short and three long. Do the data indicate that the population proportion of this type of five syllable sequence is different (either way) from the text of Plato’s Republic? Use α = 0.01.(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: p = 0.261; H₁: p > 0.261

H₀: p = 0.261; H₁: p < 0.261

H₀: p ≠ 0.261; H₁: p = 0.261

H₀: p = 0.261; H₁: p ≠ 0.261

(b) What sampling distribution will you use?

The standard normal, since np < 5 and nq < 5.

The Student’s t, since np > 5 and nq > 5.

The Student’s t, since np < 5 and nq < 5.

The standard normal, since np > 5 and nq > 5.

What is the value of the sample test statistic? (Round your answer to two decimal places.)

(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)

Sketch the sampling distribution and show the area corresponding to the P-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

At the α = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(e) Interpret your conclusion in the context of the application.

There is sufficient evidence at the 0.01 level to conclude that the true proportion of the five-syllable sequence differs from that of the text of Plato’s Republic.

There is insufficient evidence at the 0.01 level to conclude that the true proportion of the five-syllable sequence differs from that of the text of Plato’s Republic.