Derive

ddaeeric
2021-05-29
Answered

Derive

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Nicole Conner

Answered 2021-05-30
Author has **97** answers

Lower confidence interval: $(-\mathrm{\infty},\stackrel{\u23de}{p}+{z}_{\alpha}\sqrt{\stackrel{\u23de}{p}\left(\frac{1-\stackrel{\u23de}{p}}{n}\right)}$

Upper confidence interval:$(\stackrel{\u23de}{p}-{z}_{\alpha}\sqrt{\stackrel{\u23de}{p}\left(\frac{1-\stackrel{\u23de}{p}}{n}\right),\mathrm{\infty}}\}$

Upper confidence interval:

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Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes.

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A balanced experimental design has a sample size of

(a) Calculate pairwise confidence intervals for the factor level means with an overall confidence level of 95%.

(b) Make a diagram showing which factor level means are known to be different and which ones are indistinguishable.

(c) What additional sampling would you recommend to reduce the lengths of the pairwise confidence intervals to no more than 2.0 ?

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A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four of these units, and because all are packaged identically, the selection will be random. What is the probability that:

a) All four units are good?

b) Exactly two units are good?

c) At least two units are good?

a) All four units are good?

b) Exactly two units are good?

c) At least two units are good?

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An analysis of variance of the yields of five different varieties of wheat, observed on one plot each at each of six different locations. The data from this randomized block design are listed here:

a. Use the appropriate nonparametric test to determine whether the data provide sufficient evidence to indicate a difference in the yields for the five different varieties of wheat. Test using

b. How do the analysis of variance F test compare with the test in part a? Explain.

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Sharon draws a random card, from a regular deck of cards, and rolls a regular 6 sided die. What is the probability that Sharon draws a card that is a Heart and rolls a 3?

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An analysis of variance of the yields of five different varieties of wheat, observed on one plot each at each of six different locations. The data from this randomized block design are listed here:

Varieties, Location 1, Location 2, Location 3, Location 4, Location 5, Location 6

A, 35.3, 31.0, 32.7, 36.8, 37.2, 33.1

B, 30.7, 32.2, 31.4, 31.7, 35.0, 32.7

C, 38.2, 33.4, 33.6, 37.1, 37.3, 38.2

D, 34.9, 36.1, 35.2, 38.3, 40.2, 36.0

E, 32.4, 28.9, 29.2, 30.7, 33.9, 32.1

a. Use the appropriate nonparametric test to determine whether the data provide sufficient evidence to indicate a difference in the yields for the five different varieties of wheat. Test using αα=.05.

b. How do the analysis of variance F test compare with the test in part a? Explain.

Varieties, Location 1, Location 2, Location 3, Location 4, Location 5, Location 6

A, 35.3, 31.0, 32.7, 36.8, 37.2, 33.1

B, 30.7, 32.2, 31.4, 31.7, 35.0, 32.7

C, 38.2, 33.4, 33.6, 37.1, 37.3, 38.2

D, 34.9, 36.1, 35.2, 38.3, 40.2, 36.0

E, 32.4, 28.9, 29.2, 30.7, 33.9, 32.1

a. Use the appropriate nonparametric test to determine whether the data provide sufficient evidence to indicate a difference in the yields for the five different varieties of wheat. Test using αα=.05.

b. How do the analysis of variance F test compare with the test in part a? Explain.

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Find the probability density function of