A random sample of 25 chocolate energy bars of a certain brand has, on average, 290 calories per bar, with a standard deviation of 15 calories. Assume that the distribution of the calorie content is approximately normal. Construct a 95% confidence interval for a. Click here to view page 1 of the table of critical values of the chi-squared distribution.

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Critical Values of the Chi-Squared Distribution (Page 2)
Critical Values of the Chi-Squared Distribution
0.30
0.25
0.20
0.10
0.05
0.025
0.02
0.01
0.005
0.001
1.323
1.074
2.408
3.665
1.642
3.219
4.642
2.706
4.005
6.251
7.779
9.236
3.841
5.991
7.815
5.024
7.378
9.348
5.412
7.824
9.837
6.635
9.210
11.345
7.879
10.597
12.838
10.827
13.815
16.266
1
2
3
2.773
4.108
4.878
6.064
5.385
6.626
11.143
12.832
13.277
15.086
5.989
9.488
14.860
11.668
13.388
18.466
20.515
5
7.289
11.070
16.750
7.231
12.592
14.067
15.507
16.919
7.841
9.037
15.033
16.622
16.812
18.475
8,558
10.645
12.017
14.449
16.013
18.548
20.278
22.457
24.321
8.383
9.803
9.524
10.656
20.090
21.666
10.219
11.030
12.242
13.362
14.684
18.168
19.679
21.955
23.589
26.124
27.877
8
17.535
11.389
12.549
9
19.023
10
11.781
13.442
15.987
18.307
20.483
21.161
23.209
25.188
29.588
11
12.899
13.701
14.631
17.275
19.675
21.920
22.618
24.725
26.757
31.264
12
13
14
14.011
15.119
16.222
14.845
15.984
15.812
16.985
18.151
18.549
19.812
21.064
21.026
22.362
23.685
23.337
24.736
26.119
24.054
25.471
26.873
26.217
27.688
29.141
28.300
29.819
31.319
32.909
34.527
36.124
17.117
15
17.322
18.245
19.311
22.307
24.996
27.488
28.259
30.578
32.801
37.698
18.418
19.369
20.465
23.542
26.296
28.845
29.633
32.000
33.409
34.805
36.191
37.566
16
34.267
39.252
21.615
22.760
24.769
25.989
27.587
28.869
35.718
37.156
30.191
30.995
17
18
19.511
20.601
20.489
21.605
40.791
42.312
31.526
32.346
38.582
39.997
19
21.689
22.775
22.718
23.828
23.900
27.204
28.412
30.144
31.410
32.852
33.687
43.819
45.314
20
25.038
34.170
35.020
23.858
24.939
29.615
30.813
35.479
36.781
36.343
37.659
46.796
48.268
24.935
26.171
27.301
32.671
33.924
38.932
21
22
41.401
26.039
40.289
42.796
23
24
25
26.018
27.096
28.172
27.141
28.241
29.339
28.429
29.553
30.675
32.007
33.196
34.382
35.172
36.415
37.652
38.076
39.364
40.646
38.968
40.270
41.566
41.638
42.980
44.314
44.181
45.558
49.728
51.179
52.619
46.928
38.885
40.113
29.246
30.319
31.391
32.461
26
27
30.435
31.528
31.795
32.912
35.563
36.741
41.923
43.195
42.856
44. 140
45.642
46.963
48.290
49.645
50.994
54.051
55.475
32.620
45.419
56.892
28
29
34.027
35.139
37,916
39.087
41.337
42.557
43.773
44.461
48.278
49.588
33.711
45,722
46.693
52.335
58.301
30
33.530
34.800
36.250
40.256
46.979
47.962
50.892
53.672
59.702
40
44.165
45.616
47.269
51.805
55.758
59.342
60. 436
63.691
66.766
73.403
Transcribed Image Text:Critical Values of the Chi-Squared Distribution (Page 2) Critical Values of the Chi-Squared Distribution 0.30 0.25 0.20 0.10 0.05 0.025 0.02 0.01 0.005 0.001 1.323 1.074 2.408 3.665 1.642 3.219 4.642 2.706 4.005 6.251 7.779 9.236 3.841 5.991 7.815 5.024 7.378 9.348 5.412 7.824 9.837 6.635 9.210 11.345 7.879 10.597 12.838 10.827 13.815 16.266 1 2 3 2.773 4.108 4.878 6.064 5.385 6.626 11.143 12.832 13.277 15.086 5.989 9.488 14.860 11.668 13.388 18.466 20.515 5 7.289 11.070 16.750 7.231 12.592 14.067 15.507 16.919 7.841 9.037 15.033 16.622 16.812 18.475 8,558 10.645 12.017 14.449 16.013 18.548 20.278 22.457 24.321 8.383 9.803 9.524 10.656 20.090 21.666 10.219 11.030 12.242 13.362 14.684 18.168 19.679 21.955 23.589 26.124 27.877 8 17.535 11.389 12.549 9 19.023 10 11.781 13.442 15.987 18.307 20.483 21.161 23.209 25.188 29.588 11 12.899 13.701 14.631 17.275 19.675 21.920 22.618 24.725 26.757 31.264 12 13 14 14.011 15.119 16.222 14.845 15.984 15.812 16.985 18.151 18.549 19.812 21.064 21.026 22.362 23.685 23.337 24.736 26.119 24.054 25.471 26.873 26.217 27.688 29.141 28.300 29.819 31.319 32.909 34.527 36.124 17.117 15 17.322 18.245 19.311 22.307 24.996 27.488 28.259 30.578 32.801 37.698 18.418 19.369 20.465 23.542 26.296 28.845 29.633 32.000 33.409 34.805 36.191 37.566 16 34.267 39.252 21.615 22.760 24.769 25.989 27.587 28.869 35.718 37.156 30.191 30.995 17 18 19.511 20.601 20.489 21.605 40.791 42.312 31.526 32.346 38.582 39.997 19 21.689 22.775 22.718 23.828 23.900 27.204 28.412 30.144 31.410 32.852 33.687 43.819 45.314 20 25.038 34.170 35.020 23.858 24.939 29.615 30.813 35.479 36.781 36.343 37.659 46.796 48.268 24.935 26.171 27.301 32.671 33.924 38.932 21 22 41.401 26.039 40.289 42.796 23 24 25 26.018 27.096 28.172 27.141 28.241 29.339 28.429 29.553 30.675 32.007 33.196 34.382 35.172 36.415 37.652 38.076 39.364 40.646 38.968 40.270 41.566 41.638 42.980 44.314 44.181 45.558 49.728 51.179 52.619 46.928 38.885 40.113 29.246 30.319 31.391 32.461 26 27 30.435 31.528 31.795 32.912 35.563 36.741 41.923 43.195 42.856 44. 140 45.642 46.963 48.290 49.645 50.994 54.051 55.475 32.620 45.419 56.892 28 29 34.027 35.139 37,916 39.087 41.337 42.557 43.773 44.461 48.278 49.588 33.711 45,722 46.693 52.335 58.301 30 33.530 34.800 36.250 40.256 46.979 47.962 50.892 53.672 59.702 40 44.165 45.616 47.269 51.805 55.758 59.342 60. 436 63.691 66.766 73.403
A random sample of 25 chocolate energy bars of a certain brand has, on average, 290 calories per bar, with a standard deviation of 15 calories. Assume that the distribution of the calorie content is approximately normal. Construct a 95%
confidence interval for o.
Click here to view page 1 of the table of critical values of the chi-squared distribution.
Click here to view page 2 of the table of critical values of the chi-squared distribution.
The confidence interval is
<o<
(Round to two decimal places as needed.)
Transcribed Image Text:A random sample of 25 chocolate energy bars of a certain brand has, on average, 290 calories per bar, with a standard deviation of 15 calories. Assume that the distribution of the calorie content is approximately normal. Construct a 95% confidence interval for o. Click here to view page 1 of the table of critical values of the chi-squared distribution. Click here to view page 2 of the table of critical values of the chi-squared distribution. The confidence interval is <o< (Round to two decimal places as needed.)
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