A management consulting firm

September 28, 2019/in Questions Uploads /by Hannah Wangui

Question

A management consulting firm recommends that the ratio of middle-management

salaries to management trainee salaries be 7:5. Using this recommendation, what is the annual middle-management salary if the annual management trainee salary is $22,000? (Round your answer to the nearest dollar.)

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I included all info but only need help with smaple test static and p value

September 28, 2019/in Questions Uploads /by Hannah Wangui

Question

I included all info but only need help with smaple test static and p value
style=”color:rgb(0,0,0);”>Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text. This characterization may be used to assess the similarity among passages of text and sometimes the identity of authors. The following information is based on an article by D. Wishart and S. V. Leach appearing in Computer Studies of the Humanities and Verbal Behavior (Vol. 3, pp. 90-99). 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 320five-syllable sequences from the newly discovered manuscript showed that 62 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 = 0.261H₀: p = 0.261; H₁: p ≠ 0.261    H₀: p = 0.261; H₁: p < 0.261H₀: 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 standard normal, since np < 5 and nq < 5.The Student’s t, 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.

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I included all information but only need help finding the p value

September 28, 2019/in Questions Uploads /by Hannah Wangui

Question

I included all information but only need help finding the p value and what sampling distribution you will

use

What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.†Suppose a random sample ofn=58college students were surveyed andr=8of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Useα = 0.05.

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: p = 0.24; H₁: p > 0.24

H₀: p ≠ 0.24; H₁: p = 0.24

H₀: p = 0.24; H₁: p ≠ 0.24

H₀: p = 0.24; H₁: p < 0.24

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

The Student’s t, 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 = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.05 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 0.05 level to conclude that the true proportion of college students favoring the color blue differs from 0.24.

There is insufficient evidence at the 0.05 level to conclude that the true proportion of college students favoring the color blue differs from 0.24.

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You want to paint the walls of your bedroom.

September 28, 2019/in Questions Uploads /by Hannah Wangui

Question

You want to paint the walls of your bedroom. Two walls measure 15 style=”color:rgb(0,0,0);”> ft by 7 ft, and the other two walls measure 16 ft by 7 ft. The paint you wish to purchase must be purchased in one-gallon cans and costs $17 per gallon. Each gallon will cover 400 ft² of wall. Find the total amount you will spend on paint.