Question: A sample? mean, sample? size, and sample standard deviation are provided below. Use the? one-mean t-test to perform the required hypothesis test at the 55?%

A sample? mean, sample? size, and sample standard deviation are provided below. Use the? one-mean t-test to perform the required hypothesis test at the

55?%

significance level.

x overbarxequals=2828?,

ssequals=44?,

nnequals=1515?,

Upper H 0H0?:

mu equals 28?=28?,

Upper H Subscript aHa?:

mu less than 28?

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t Subscript alphat?.

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Part 1

The test statistic is

ttequals=00.

?(Round to two decimal places as? needed.)

Part 2

Identify the critical? value(s). Select the correct choice below and fill in the answer box within your choice.

?(Round to three decimal places as? needed.)

A.

The critical

value isvalueis

t Subscript alpha Baseline equalst?=enter your response here.

B.

The critical

value isvalueis

negative t Subscript alpha Baseline equals?t?=enter your response here.

C.

The critical

values arevaluesare

plus or minus t Subscript alpha divided by 2 Baseline equals plus or minust?/2=enter your response here.

A sample? mean, sample? size, and sample standard
df to. 10 to.05 to.025 to.01 to.005 df 10 1.372 1.812 2.228 2.764 3.169 10 11 1.363 1.796 2.201 2.718 3.106 11 12 1.356 1.782 2. 179 2.681 3.055 12 13 1.350 1.771 2. 160 2.650 3.012 13 14 1.345 1.761 2.145 2.624 2.977 14 15 1.341 1.753 2.131 2.602 2.947 15 16 1.337 1.746 2.120 2.583 2.921 16 17 1.333 1.740 2.110 2.567 2.898 17 18 1.330 1.734 2.101 2.552 2.878 18 19 1.328 1.729 2.093 2.539 2.861 19 20 1.325 1.725 2.086 2.528 2.845 20 21 1.323 1.721 2.080 2.518 2.831 21 22 1.321 1.717 2.074 2.508 2.819 22 23 1.319 1.714 2.069 2.500 2.807 23 24 1.318 1.711 2.064 2.492 2.797 24 25 1.316 1.708 2.060 2.485 2.787 25 26 1.315 1.706 2.056 2.479 2.779 26 27 1.314 1.703 2.052 2.473 2.771 27 28 1.313 1.701 2.048 2.467 2.763 28 29 1.311 1.699 2.045 2.462 2.756 29 30 1.310 1.697 2.042 2.457 2.750 30 31 1.309 1.696 2.040 2.453 2.744 31 32 1.309 1.694 2.037 2.449 2.738 32 33 1.308 1.692 2.035 2.445 2.733 33 34 1.307 1.691 2.032 2.441 2.728 34 35 1.306 1.690 2.030 2.438 2.724 35 36 1.306 1.688 2.028 2.434 2.719 36 37 1.305 1.687 2.026 2.431 2.715: 38 1.304 1.686 2.024 2.429 2.712 38 39 1.304 1.685 2.023 2.426 2.708 39

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