Question

are taller than their tathers, a student randomly selects 13 fathers who have adult male children She records the height of both the tater and son in Note: A normal probability plot and boxplot of the data indicate that the difflerences are apprximalily normally deabu 囲Click the icon to view the table of data. Which conditions must be met by the sample for this test? Select all that apply Table of hight da □ A. □ B. □ C. □ D. □ E. The sampling method results in a dependent sample. The sample size must be large. The sample size is no more than 5% of the population size. The sampling method results in an independent sample The differences are normally distributed or the sample size is large Height of Father, x, Heigh Son 077 131 69 2 129 69.7 Let d, X-Y Write the hypotheses for the test. Но H1 669 68 5 68 69 2 66 8 atistic vo decimal places as needed) answer(s) Print Click HP Support -900-490-0 Type here to search To test the belief that sons are taller than their fathers, a student randomly selects 13 lathors who have adut male child en She records the hekght o both t tahr and s i iehes and than their fathers? Use the a 0.01 level of significance. Note: A normal probability plot and boxpkot of the data indicate that the differences are appradimay omuly EE Click the icon to view the table of data e wh Which conditions must be met by the sample for this test? Select all that apply Tatle of hsght data A. The sampling method results in a dependent sample B. The sample size must be large. □ C. The sample size is no more than 5% of the population size. □ D. The sampling method results in an independent sample. Height of Height Father, X,Son,Y 70 B E. The differences are normally distributed or the sample size is large Let d, X-Y. Write the hypotheses for the test Ho H1 Calculate the test statistic to Round to two decimal places as needed) Click to select your answer(s). 51 697 25 669 70 5 719 65 6 Orint Done HP Support 3-800-490-033 O Type here to search (hp t athers who have adult male children. She records the height of both the father and son in inches and oblains the following data. Are sons taller and boxplot of the data indicate that the diflerences are approximately normally distributed with no outliers. Table of height data Height of Father, X, 70.8 Height of Son, Y 75.7 70.774 73.1 69.2 72.9 69.7 70.4 2.5 66.9 68.5 68 69.2 66.8 75.7 71.0 74.0 70.3 70.5 65 66.8 65.7 65.8 Print Done 11:31 AM 4/2/2019 0> e i HP Support 1-800-490-0334 (hp pvalue-□(Round to three decinal places as _ ) Should the nul hypothesis be rejected? are net the same higts H, becase the P.value is the level ef significance. There Click lo select your answerrs) buat the dierences are approximately normaly dabted wilth o uis III Ckck the icon to view the table of data Which condions must be met by the sample for thi Select all that apply A. The sampling mothod results in a dependond sane B. The sample sire must be large C. The sample seo hnomore than 5% of the popdatin see าณ nw sampleng method nowa.an independant sample n, Calculate the lest statistic Round to tro declmal places as needed) Click to select your answer's) 7170035968787 n 545|1400|15655|1 of x; ,871 2 974595328 68896 6-6-6-6-6 00392902 77767677 9 IB Cik the icon to viow the tabde of data Ho Hi Calcalate the lest statidic いDeland to two dinal places as needed) Cakculate the P value P-value-□(Round to three decinal places as needed ) Should the nul hypothesis be rejected? are the same height as are shorter than are not the same height as are taller than y].6 because the p.value 놈 the level of significance Theresuficient evidence to conckude that sons their lathers at the 01 el of significance Clck to select your answer(s)

Answer 1

To test $H_0:\mu_d = 0$ against $H_1:\mu_d < 0$

Here

sample mean of difference

d = 0.015

sample standard deviation of difference

sd 2.835

and sample size

The test statistic can be written as

which under H₀ follows a t distribution with n-1 df.

n * Sd

We reject H₀ at 1% level of significance if p-value < 0.01

Now,

The value of the test statistic =

and p-value

Since p-value > 0.01, so we fail to reject H₀ at 1% level of significance. There is not sufficient evidence to conclude that sons are the same height as their fathers at the 0.01 level of significance.