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can i get help answering both these questions please i am stuck.

Construct a 95% confidence interval for Hy with the sample statistics for mean cholesterol content of a hamburger from two fast food chains and confidence interval construction formula below. Assume the populations are approximately normal with unequal variances Stats X = 68 mg, s, = 3.72 mg, n = 14 x = 53 mg, s, -2.13 mg, n, 16 - + ng ni my Confidence interval when (*-*)-4, <H4-H3 < (x-) variances are not equal d.t is the smaller of n - 1 or ny - 1 Enter the endpoints of the interval <-> (Round to the nearest integer as needed.) d hide

Answer 1

9 n₂ = 16 n = 14 š, = 68 S = 3.72 z = 53 S2 = 2.13 9 so If is the smaller of n, 1 or nq-1 df 13. Critical value : ti3 at 2.5% =£2016 95% confidence interval for Hi-Hy is : (2-x2) to <M, Hz L (12-2) + tis S2+ (S? + ni na ni N₂ 168-53)-2.16 13.72² +2013 Hi-Mz4 (68-53)+ 2.16 3.72² 2.13² 16 14 16 15 - 2.436 (Mr-la ( 15+2.436 13 < Hi-M₂ ( 17

Book1 - Excel Home insen Page Layout Formulas Data Review View Help Power Pivot Tell me what you want to do Manage Measures KPIs Detect Settings Add to Data Model Data Model Calculations Tables Relationships W27 > A B с F G H K M N O P Q R S D E Correlation 0.816213 X V 10 8 13 9 a. Graph B is the correct scatterplot. Scatterplot 14 12 10 7.45 6.76 12.74 7.12 7.81 0 8.83 6.08 5.38 8.15 6.43 5.72 G 7 8 9 10 11 12 13 14 15 16 11 14 6 4 12 7 8 b. The correlation coefficient is r = 0.816213. Under Mo p = 0, ie, there is no linear relationship. The test statistic is ryn - 2 0.816213 x 19 -4.6855337 V1 -2 Vi - 0.8162132 The degrees of freedom on tis 9. Critical value: t, at 2.5% is +2.262. Since the observed test statistic does not lies between-2.262 and +2.262. so, we reject the null hypothesis at 5% significance level. Hence, there is enough evidence to support the claim of nonlinear correlation between the two variables. A option is correct. 6 5 4 2 0 2 4 6 10 12 14 17 18 c. The scatterplot reveals a perfect straight line pattern, except for the presence of one outlier. A option is correct. 20 21 22 23 24 25 29 Sheet1 Type here to search O

Percentage Points for the t distribution This table gives percentage points x defined by the equation 00 dt P= 1 1(12v+2) TvT (12v) X (1+2+/)%*) Р 0 х The limiting distribution of t as v tends to infinity is the standard normal distribution. When v is large, interpolation in v should be harmonic. P= 40% 30% 25% 20% 15% 10% 5% 2.5% 1% 0.5% 0.1% 0.05% V 1 0.3249 0.7265 1.000 1.376 1.963 3.078 6.314 12.71 31.82 63.66 318.3 636.6 2 0.2887 0.6172 0.8165 1.061 1.386 1.886 2.920 4.303 6.965 9.925 22.33 31.60 3 0.2767 0.5844 0.7649 0.9785 1.250 1.638 2.353 3.182 4.541 5.841 10.21 12.92 4 0.2707 0.5686 0.7407 0.9410 1.190 1.533 2.132 2.776 3.747 4.604 7.173 8.610 5 0.2672 0.5594 0.7267 0.9195 1.156 1.476 2.015 2.571 3.365 4.032 5.894 6.869 6 0.2648 0.5534 0.7176 0.9057 1.134 1.440 1.943 2.447 3.143 3.707 5.208 5.959 7 0.2632 0.5491 0.7111 0.8960 1.119 1.415 1.895 2.365 2.998 3.499 4.785 5.408 8 0.2619 0.5459 0.7064 0.8889 1.108 1.397 1.860 - 2.306 - 2.896 3.355 4.501 5.041 9 0.2610 0.5435 0.7027 0.8834 1.100 1.383 1.833 2.262 2.821 3.250 4.297 4.781 10 0.2602 0.5415 0.6998 0.8791 1.093 1.372 1.812 2.228 2.764 3.169 4.144 4.587 11 0.2596 0.5399 0.6974 0.8755 1.088 1.363 1.796 2.201 2.718 3.106 4.025 4.437 12 0.2590 0.5386 0.6955 0.8726 1.083 1.356 1.782 2.179 2.681 3.055 3.930 4.318 13 0.2586 0.5375 0.6938 0.8702 1.079 1.350 1.771 2.160 2.650 3.0123.852 4.221 14 0.2582 0.5366 0.6924 0.8681 1.076 1.345 1.761 2.145 2.624 2.977 3.787 4.140 15 0.2579 0.5357 0.6912 0.8662 1.074 1.341 1.753 2.131 2.602 2.947 3.733 4.073 16 0.2576 0.5356 0.6901 0.8647 1.071 1.337 1.746 2.120 2.583 2.921 3.686 4.015 17 0.2573 0.5344 0.6892 0.8633 1.069 1.333 1.740 2.110 2.567 2.898 3.646 3.965 18 0.2571 0.5338 0.6884 0.8620 1.067 1.330 1.734 2.101 2.552 2.878 3.610 3.922 19 0.2569 0.5333 0.6876 0.8610 1.066 1.328 1.729 2.093 2.539 2.861 3.579 3.883 20 0.2567 0.5329 0.6870 0.8600 1.064 1.325 1.725 2.086 2.528 2.845 3.552 3.850 21 0.2566 0.5325 0.6864 0.8591 1.063 1.323 1.721 2.080 2.518 2.831 3.527 3.819 22 0.2564 0.5321 0.6858 0.8583 1.061 1.321 1.717 2.074 2.508 2.819 3.505 3.792 23 0.2563 0.5317 0.6853 0.8575 1.060 1.319 1.714 2.069 2.500 2.807 3.485 3.768 24 0.2562 0.5314 0.6848 0.8569 1.059 1.318 1.711 2.064 2.492 2.797 3.467 3.745 25 0.2561 0.5312 0.6844 0.8562 1.058 1.316 1.708 2.060 2.485 2.787 3.450 3.725 26 0.2560 0.5309 0.6840 0.8557 1.058 1.315 1.706 2.056 2.479 2.779 3.435 3.707 27 0.2559 0.5306 0.6837 0.8551 1.057 1.314 1.703 2.052 2.473 2.771 3.421 3.689 28 0.2558 0.5304 0.6834 0.8546 1.056 1.313 1.701 2.048 2.467 2.763 3.408 3.674 29 0.2557 0.5302 0.6830 0.8542 1.055 1.311 1.699 2.045 2.462 2.756 3.396 3.660 30 0.2556 0.5300 0.6828 0.8538 1.055 1.310 1.697 2.042 2.457 2.750 3.385 3.646 32 0.2555 0.5297 0.6822 0.8530 1.054 1.309 1.694 2.037 2.449 2.738 3.365 3.622- 34 0.2553 0.5294 0.6818 0.8523 1.052 1.307 1.691 2.032 2.441 2.728 3.348 3.601 36 0.2552 0.5291 0.6814 0.8517 1.052 1.306 1.688 2.028 2.434 2.719 3.333 3.582 38 0.2551 0.5288 0.6810 0.8512 1.051 1.304 1.686 2.024 2.429 2.712 3.319 3.566 40 0.2550 0.5286 0.6807 0.8507 1.050 1.303 1.684 2.021 2.423 2.704 3.307 3.551 50 0.2547 0.5278 0.6794 0.8489 1.047 1.299 1.676 2.009 2.403 2.678 3.261 3.496 60 0.2545 0.5272 0.6786 0.8477 1.045 1.296 1.671 2.000 2.390 2.660 3.232 3.460 120 0.2539 0.5258 0.6765 0.8446 1.041 1.289 1.658 1.980 2.358 2.617 3.160 3.373 0.2533 0.5244 0.6745 0.8416 1.036 1.282 1.645 1.960 2.326 2.576 3.090 3.291