A research group conducted an extensive survey of 3022

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

Question

A research group conducted an extensive survey of 3022 style=”color:rgb(0,0,0);”> wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, “What does success mean to you?” 1592 responded, “Personal satisfaction from doing a good job.” Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.)
lower limit upper limit

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Suppose that a random sample of 50 male

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

Question

Suppose that a random sample of 50 male

firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.40 ml/kg for the distribution of blood plasma.

(a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)

lower limit ____

upper limit _____

margin of error ____

(b) What conditions are necessary for your calculations? (Select all that apply.)

__ σ is unknown

__ the distribution of weights is uniform

__ n is large

__ σ is known

__ the distribution of weights is normal

(c) Interpret your results in the context of this problem.

The probability that this interval contains the true blood plasma volume in male firefighters is 0.01.

99% of the intervals created using this method will contain the true blood plasma volume in male firefighters.

1% of the intervals created using this method will contain the true blood plasma volume in male firefighters.

The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.

(d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.70 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)

__ male firefighters

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In a student laboratory exercise

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

Question

In a student laboratory exercise, the wavelength

of a 56,300 Hz ultrasound wave is measured to be 0.622 cm. Find the air temperature (in K)

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Two plots at Rothamsted Experimental Station

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

Question

#10 Two plots at Rothamsted Experimental Station were studied for production of

wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows.

5.70 6.68 5.84 6.40 7.31 7.18 7.06 5.79 6.24 5.91 6.14

Use a calculator to verify that, for this plot, the sample variance is s² ≈ 0.346.

Another random sample of years for a second plot gave the following annual wheat production (in pounds).

7.24 8.15 6.68 7.52 7.22 5.58 5.47 5.86

Use a calculator to verify that the sample variance for this plot is s² ≈ 0.973.

Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots. Use a 5% level of signifcance.

(a) What is the level of significance?

State the null and alternate hypotheses.

H_o: σ₁² = σ₂²; H₁: σ₁² > σ₂²

H_o: σ₁² > σ₂²; H₁: σ₁² = σ₂²

H_o: σ₂² = σ₁²; H₁: σ₂² > σ₁²

H_o: σ₁² = σ₂²; H₁: σ₁² ≠ σ₂²

(b) Find the value of the sample F statistic. (Use 2 decimal places.)

What are the degrees of freedom?df_Ndf_DWhat assumptions are you making about the original distribution?

The populations follow independent chi-square distributions. We have random samples from each population.

The populations follow independent normal distributions. We have random samples from each population.

The populations follow dependent normal distributions. We have random samples from each population.

The populations follow independent normal distributions.

(c) Find or estimate the P-value of the sample test statistic. (Use 4 decimal places.)

p-value > 0.200

0.100 < p-value < 0.200

0.050 < p-value < 0.100

0.020 < p-value < 0.050

0.002 < p-value < 0.020

p-value < 0.002

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

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 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.

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

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

Fail to reject the null hypothesis, there is sufficient evidence that the variance in annual wheat production differs between the two plots.

Reject the null hypothesis, there is insufficient evidence that the variance in annual wheat production differs between the two plots.

Reject the null hypothesis, there is sufficient evidence that the variance in annual wheat production differs between the two plots.

Fail to reject the null hypothesis, there is insufficient evidence that the variance in annual wheat production differs between the two plots.