Question

The following *n* = 10 observations are a sample from a
normal population.

7.4 7.0 6.5 7.5 7.6 6.2 6.8 7.7 6.4 6.9

(a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.)

mean | |

standard deviation |

(b) Find a 99% upper one-sided confidence bound for the population
mean *μ*. (Round your answer to three decimal places.)

(c) Test *H*_{0}: *μ* = 7.5 versus
*H*_{a}: *μ* < 7.5. Use *α* =
0.01.

State the test statistic. (Round your answer to three decimal
places.)

* t* =

State the rejection region. (If the test is one-tailed, enter NONE
for the unused region. Round your answers to three decimal
places.)

t > |

t < |

Answer #1

a) mean =7.00

standard deviation =0.5333

b)

std error sx=s/√n= | 0.1687 |

for 99% upper CI; and 9 df, critical t= | 2.8214 | |

margin of error E=t*std error = | 0.476 |

Upper bound=sample mean+E= |
7.476 |

c)

test stat t='(x-μ)*√n/s= |
-2.965 |

rejection region

t > NONE

t<-2.821

The following n = 10 observations are a sample from a
normal population.
7.3 7.1 6.4 7.5 7.5 6.3 6.9 7.6 6.4 7.0
(a) Find the mean and standard deviation of these data. (Round
your standard deviation to four decimal places.)
mean = 7
sd = 0.4922
(b) Find a 99% upper one-sided confidence bound for the
population mean μ. (Round your answer to three decimal
places.)

In West Texas, water is extremely important. The following data
represent pH levels in ground water for a random sample of 102 West
Texas wells. A pH less than 7 is acidic and a pH above 7 is
alkaline. Scanning the data, you can see that water in this region
tends to be hard (alkaline). Too high a pH means the water is
unusable or needs expensive treatment to make it usable.† These
data are also available for download at...

In West Texas, water is extremely important. The following data
represent pH levels in ground water for a random sample of 102 West
Texas wells. A pH less than 7 is acidic and a pH above 7 is
alkaline. Scanning the data, you can see that water in this region
tends to be hard (alkaline). Too high a pH means the water is
unusable or needs expensive treatment to make it usable.† These
data are also available for download at...

A sample of 45 observations is selected from a normal
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decimal places.)
What is the value of the test statistic? (Round your
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What is the p-value? (Round your answer to 4
decimal places.)

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0.05 significance level.
H0: μ ≤ 20
H1: μ > 20
Is this a one- or two-tailed test?
What is the decision rule? (Round your answer to 2
decimal places.)
What is the value of the test statistic? (Round your
answer to 2 decimal places.)
What is your decision...

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Interpret the p-value? (Round your z
value to 2 decimal places and final answer to 2 decimal
places.)

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H0: μ ≤ 10
H1: μ > 10
e-1. What is the p-value?
(Round your answer to 4 decimal places.)
e-2. Interpret the p-value?
(Round your final answer to 2 decimal
places.)

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H0: μ = 50
H1: μ ≠ 50
e-1. What is the p-value?
(Round your z value to 2 decimal places and final
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e-2. Interpret the p-value?
(Round your z value to 2 decimal places and final
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A sample of 35 observations is selected from a normal
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H1: μ > 19
Interpret the p-value? (Round your final answer
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A sample of 30 observations is selected from a normal
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(B) What is the decision rule?
(C) What is the value of the test statistic? (Round your
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