Statistics for Management and Economics (Book Only)
Statistics for Management and Economics (Book Only)
11th Edition
ISBN: 9781337296946
Author: Gerald Keller
Publisher: Cengage Learning
Question
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Chapter 13.1, Problem 2E

a:

To determine

The test hypothesis.

a:

Expert Solution
Check Mark

Explanation of Solution

The null hypothesis (H0) is (μ1μ2)=0, and the alternate hypothesis is (H1) (μ1μ2)0.

The t table value can be calculated as follows:

t>tα2,νt=t0.052,22=t.025,22=2.074

The t table value is 2.074.

The t value (t) can be calculated as follows:

t=(x¯1x¯2)(μ1μ2)sp2(1n1+1n2)=(7471)0((121)182+(121)16212+122)(112+112)=0.43

The calculated t value is 0.43, and the p value is 0.6703. Since the p value is significantly different from 0, the alternate hypothesis is not accepted.

b:

To determine

The test hypothesis with increasing standard deviation.

b:

Expert Solution
Check Mark

Explanation of Solution

The t table value can be calculated as follows:

t>tα2,νt=t0.052,22=t.025,22=2.074

The t table value is 2.074.

The t value (t) can be calculated as follows:

t=(x¯1x¯2)(μ1μ2)sp2(1n1+1n2)=(7471)0((121)2102+(121)198212+122)(112+112)=0.04

The calculated t value is 0.04, and the p value is 0.9716. Since the p value is significantly different from 0, the alternate hypothesis is not accepted.

c:

To determine

The impact of increasing standard deviation.

c:

Expert Solution
Check Mark

Explanation of Solution

When the standard deviation increases, it reduces the calculated t value and increases the p value.

d:

To determine

The test hypothesis with increasing sample.

d:

Expert Solution
Check Mark

Explanation of Solution

The t table value can be calculated as follows:

t>tα2,νt=t0.052,298=t.025,298=1.96

The t table value is 1.96.

The t value (t) can be calculated as follows:

t=(x¯1x¯2)(μ1μ2)sp2(1n1+1n2)=(7471)0((1501)182+(1501)162150+1502)(1150+1150)=1.53

The calculated t value is 1.53, and the p value is 0.1282. Since the p value is significantly different from 0, the alternate hypothesis is not accepted.

e:

To determine

The impact of increasing sample.

e:

Expert Solution
Check Mark

Explanation of Solution

When the sample size increases, it increases the t value and reduces the p value.

f:

To determine

The test hypothesis with increasing mean value.

f:

Expert Solution
Check Mark

Explanation of Solution

The t table value can be calculated as follows:

t>tα2,νt=t0.052,22=t.025,22=2.074

The t table value is 2.074.

The t value (t) can be calculated as follows:

t=(x¯1x¯2)(μ1μ2)sp2(1n1+1n2)=(7671)0((121)182+(121)16212+122)(112+112)=0.72

The calculated t value is 0.72, and the p value is 0.4796. Since the p value is significantly different from 0, the alternate hypothesis is not accepted.

g:

To determine

The impact of increasing mean value.

g:

Expert Solution
Check Mark

Explanation of Solution

When the mean increases, it increases the t value and reduces the p value.

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Chapter 13 Solutions

Statistics for Management and Economics (Book Only)

Ch. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - Prob. 40ECh. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Prob. 55ECh. 13.1 - Prob. 56ECh. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Prob. 64ECh. 13.1 - Prob. 65ECh. 13.1 - Prob. 66ECh. 13.1 - Prob. 67ECh. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - Prob. 70ECh. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - Prob. 73ECh. 13.1 - Prob. 74ECh. 13.1 - Prob. 75ECh. 13.1 - Prob. 76ECh. 13.1 - Prob. 77ECh. 13.1 - Prob. 78ECh. 13.1 - Prob. 79ECh. 13.1 - Prob. 80ECh. 13.2 - Prob. 81ECh. 13.2 - Prob. 82ECh. 13.2 - Prob. 83ECh. 13.2 - Prob. 84ECh. 13.2 - Prob. 85ECh. 13.2 - Prob. 86ECh. 13.2 - Prob. 87ECh. 13.3 - Prob. 88ECh. 13.3 - Prob. 89ECh. 13.3 - Prob. 90ECh. 13.3 - Prob. 91ECh. 13.3 - Prob. 92ECh. 13.3 - Prob. 93ECh. 13.3 - Prob. 94ECh. 13.3 - Prob. 95ECh. 13.3 - Prob. 96ECh. 13.3 - Prob. 97ECh. 13.3 - Prob. 98ECh. 13.3 - Prob. 99ECh. 13.3 - Prob. 100ECh. 13.3 - Prob. 101ECh. 13.3 - Prob. 102ECh. 13.3 - Prob. 103ECh. 13.3 - Prob. 104ECh. 13.3 - Prob. 105ECh. 13.3 - Prob. 106ECh. 13.3 - Prob. 107ECh. 13.3 - Prob. 108ECh. 13.3 - Prob. 109ECh. 13.3 - Prob. 110ECh. 13.3 - Prob. 111ECh. 13.4 - Prob. 112ECh. 13.4 - Prob. 113ECh. 13.4 - Prob. 114ECh. 13.4 - Prob. 115ECh. 13.4 - Prob. 116ECh. 13.4 - Prob. 117ECh. 13.4 - Prob. 118ECh. 13.4 - Prob. 119ECh. 13.4 - Prob. 120ECh. 13.4 - Prob. 121ECh. 13.4 - Prob. 122ECh. 13.4 - Prob. 123ECh. 13.4 - Prob. 124ECh. 13.4 - Prob. 125ECh. 13.4 - Prob. 126ECh. 13.5 - Prob. 127ECh. 13.5 - Prob. 128ECh. 13.5 - Prob. 129ECh. 13.5 - Prob. 130ECh. 13.5 - Prob. 131ECh. 13.5 - Prob. 132ECh. 13.5 - Prob. 133ECh. 13.5 - Prob. 134ECh. 13.5 - Prob. 135ECh. 13.5 - Prob. 136ECh. 13.5 - Prob. 137ECh. 13.5 - Prob. 138ECh. 13.5 - Prob. 139ECh. 13.5 - Prob. 140ECh. 13.5 - Prob. 141ECh. 13.5 - Prob. 142ECh. 13.5 - Prob. 143ECh. 13.5 - Prob. 144ECh. 13.5 - Prob. 145ECh. 13.5 - Prob. 146ECh. 13.5 - Prob. 147ECh. 13.5 - Prob. 148ECh. 13.5 - Prob. 149ECh. 13.5 - Prob. 150ECh. 13.5 - Prob. 151ECh. 13.5 - Prob. 152ECh. 13.5 - Prob. 153ECh. 13.5 - Prob. 154ECh. 13.5 - Prob. 155ECh. 13.5 - Prob. 156ECh. 13.5 - Prob. 157ECh. 13.5 - Prob. 158ECh. 13.5 - 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Prob. 15ECh. 13.A - Prob. 16ECh. 13.A - Prob. 17ECh. 13.A - Prob. 18ECh. 13.A - Prob. 19ECh. 13.A - Prob. 20ECh. 13.A - Prob. 21ECh. 13.A - Prob. 22ECh. 13.A - Prob. 23ECh. 13.A - Prob. 24ECh. 13.A - Prob. 25ECh. 13.A - Prob. 26ECh. 13.A - Prob. 27ECh. 13.A - Prob. 28ECh. 13.A - Prob. 29ECh. 13.A - Prob. 30ECh. 13.A - Prob. 31ECh. 13.A - Prob. 32ECh. 13.A - Prob. 33ECh. 13.A - Prob. 34ECh. 13.A - Prob. 35ECh. 13.A - Prob. 36ECh. 13.A - Prob. 37ECh. 13.A - Prob. 38ECh. 13 - Prob. 194CECh. 13 - Prob. 195CECh. 13 - Prob. 196CECh. 13 - Prob. 197CECh. 13 - Prob. 198CECh. 13 - Prob. 199CECh. 13 - Prob. 200CECh. 13 - Prob. 201CECh. 13 - Prob. 202CECh. 13 - Prob. 203CECh. 13 - Prob. 204CECh. 13 - Prob. 205CECh. 13 - Prob. 206CECh. 13 - Prob. 207CECh. 13 - Prob. 208CECh. 13 - Prob. 209CECh. 13 - Prob. 210CECh. 13 - Prob. 211CECh. 13 - Prob. 212CECh. 13 - Prob. 213CECh. 13 - Prob. 214CECh. 13 - Prob. 215CECh. 13 - Prob. 216CECh. 13 - Prob. 217CECh. 13 - Prob. 218CECh. 13 - Prob. 219CECh. 13 - Prob. 220CECh. 13 - Prob. 221CECh. 13 - Prob. 222CECh. 13 - Prob. 223CECh. 13 - Prob. 224CECh. 13 - Prob. 225CECh. 13 - Prob. 226CECh. 13 - Prob. 227CECh. 13 - Prob. 228CECh. 13 - Prob. 229CECh. 13 - Prob. 230CECh. 13 - Prob. 231CECh. 13 - Prob. 232CECh. 13 - Prob. 233CECh. 13 - Prob. 234CECh. 13 - Prob. 235CECh. 13 - Prob. 236CECh. 13 - Prob. 237CECh. 13 - Prob. 238CECh. 13 - Prob. 239CECh. 13 - Prob. 240CECh. 13 - Prob. 241CECh. 13 - Prob. 242CECh. 13 - Prob. 243CECh. 13 - Prob. 244CECh. 13 - Prob. 245CECh. 13 - Prob. 246CECh. 13 - Prob. 247CECh. 13 - Prob. 248CECh. 13 - Prob. 249CECh. 13 - Prob. 250CECh. 13 - Prob. 251CECh. 13 - Prob. 252CECh. 13 - Prob. 253CECh. 13 - Prob. 254CECh. 13 - Prob. 255CECh. 13 - Prob. 256CECh. 13 - Prob. 257CECh. 13 - Prob. 258CECh. 13 - Prob. 259CECh. 13 - Prob. 260CE
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