Question

r serving given below. Complete parts a through c below 134 169 141 121 111 110 170 154 119 138 34 act histogram below Q o requency Frequency Frequency 우주 도수 o os equency 2 35 120 160 OD Calories per Serving 888883 Calones por Serving 88888888 Calories per serving 2018 Culories per serving 888888 Hammerce 0 Arc the assumptions and conditions for inference satisfiod?

Answer 1

This problem is solved by using R

Output :

R RGui (32-bit) File History Resize Windows RR Console > x=c(134,169, 141,121,111,110,170, 154, 119, 138, 94) > hist(x) RR Graphics: Device 2 (ACTIVE) Histogram of x 3.0 2.0 Frequency 1.0 0.0 80 100 120 140 160 180 X

R RGui (32-bit) File History Resize Windows RR Console > x=c(134,169, 141,121,111,110,170, 154, 119, 138, 94) > qonorm (x) RR Graphics: Device 2 (ACTIVE) x Normal Q-Q Plot O 160 140 o Sample Quantiles O 120 o 100 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 Theoretical Quantiles

RGui (32-bit) File Edit View Misc Packages Windows Help STOP R Console > x=c(134,169,141,121,111,110,170, 154, 119, 138, 94) > t.test(x,conf.level=0.95) One Sample t-test X = data: t = 17.88, df = 10, p-value 6.398e-09 alternative hypothesis: true mean is not equal to o 95 percent confidence interval: 116.2671 149.3693 sample estimates: mean of x 132.8182 >

Summary :

The correct histogram is : Option A

The correct normal probability plot is : option B

Yes, assumptions and conditions satisfied for inference.

correct option : B. The Randomization Condition is met. The Normal probability plot is relatively straight and the histogram is roughly unimodal and symmetric, so the Nearly Normal Condition is met.

b) 95 % confidence interval for true mean

$116.27 < \mu < 149.37$

c) A diet guide claims that you will get an average of 130 calories from a serving of vanilla yogurt. What does this confidence interval indicate about this claim?

Answer

B. The confidence interval contains the diet guide's claim of 130 calories, so this claim is supported by the confidence interval.

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