A random sample of 10 chocolate energy bars of a certain brand has, on average, 240 calories per bar, with a standard deviation of 15 calories. Construct a 90% confidence interval for the true mean calorie content of this brand of energy bar.Assume that the distribution of the calorie content is approximately normal.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.Click here to view page 1 of the table of critical values of the t-distribution.Click here to view page 2 of the table of critical values of the t-distribution.The confidence interval is <µ<(Round to one decimal place as needed.) Critical Values of the t-Distribution0.400.300.200.150.100.050.02510.3250.7271.3761.9633.0786.31412.7060.2890.2774.3033.1821.3861.8861.6381.53320.6171.0612.92030.5840.9781.2502.35340.2710.5690.9411.1902.1322.7760.2670.5590.9201.1561.4762.0152.5710.2650.2630.9060.89660.5531.1341.4401.9432.4470.5490.5461.8951.8601.8332.3652.3061.1191.4150.2620.2610.26080.8891.1081.3970.5430.54290.8831.1001.3832.262100.8791.0931.3721.8122.228110.2600.5400.8761.0881.3631.7962.2011.0831.0791.0761.3561.350120.2590.5390.8731.7822.1790.2590.2580.2580.5380.5370.8700.868131.7712.1601.7611.7532.1452.131141.345150.5360.8661.0741.341160.2580.5350.8651.0711.3371.7462.1200.5342.1102.101170.2570.8631.0691.3331.7400.2570.2570.5341.0671.0661.3301.3281.325180.8621.734190.5330.8611.7292.093200.2570.5330.8601.0641.7252.0860.2570.2560.2560.2560.5320.5320.8590.8581.0631.3231.7212.0802.0742.0692.06421221.0611.0601.0591.3211.717231.3190.5320.5310.5310.8581.714240.8571.3181.711250.2560.8561.0581.3161.7082.0600.2560.256260.5310.8561.0581.3151.7062.056270.5310.8551.0571.3141.7032.052PrintDone

Solution: Let X be the calorie content of this brand of energy bar. From the given information,…

Answered: A random sample of 10 chocolate energy…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Transcribed Image Text:A random sample of 10 chocolate energy bars of a certain brand has, on average, 240 calories per bar, with a standard deviation of 15 calories. Construct a 90% confidence interval for the true mean calorie content of this brand of energy bar. Assume that the distribution of the calorie content is approximately normal. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <µ< (Round to one decimal place as needed.)

Critical Values of the t-Distribution
0.40
0.30
0.20
0.15
0.10
0.05
0.025
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
0.289
0.277
4.303
3.182
1.386
1.886
1.638
1.533
2
0.617
1.061
2.920
3
0.584
0.978
1.250
2.353
4
0.271
0.569
0.941
1.190
2.132
2.776
0.267
0.559
0.920
1.156
1.476
2.015
2.571
0.265
0.263
0.906
0.896
6
0.553
1.134
1.440
1.943
2.447
0.549
0.546
1.895
1.860
1.833
2.365
2.306
1.119
1.415
0.262
0.261
0.260
8
0.889
1.108
1.397
0.543
0.542
9
0.883
1.100
1.383
2.262
10
0.879
1.093
1.372
1.812
2.228
11
0.260
0.540
0.876
1.088
1.363
1.796
2.201
1.083
1.079
1.076
1.356
1.350
12
0.259
0.539
0.873
1.782
2.179
0.259
0.258
0.258
0.538
0.537
0.870
0.868
13
1.771
2.160
1.761
1.753
2.145
2.131
14
1.345
15
0.536
0.866
1.074
1.341
16
0.258
0.535
0.865
1.071
1.337
1.746
2.120
0.534
2.110
2.101
17
0.257
0.863
1.069
1.333
1.740
0.257
0.257
0.534
1.067
1.066
1.330
1.328
1.325
18
0.862
1.734
19
0.533
0.861
1.729
2.093
20
0.257
0.533
0.860
1.064
1.725
2.086
0.257
0.256
0.256
0.256
0.532
0.532
0.859
0.858
1.063
1.323
1.721
2.080
2.074
2.069
2.064
21
22
1.061
1.060
1.059
1.321
1.717
23
1.319
0.532
0.531
0.531
0.858
1.714
24
0.857
1.318
1.711
25
0.256
0.856
1.058
1.316
1.708
2.060
0.256
0.256
26
0.531
0.856
1.058
1.315
1.706
2.056
27
0.531
0.855
1.057
1.314
1.703
2.052
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