A travel association claims that the mean daily meal cost for two adults traveli

Question

A travel association claims that the mean daily meal cost for two adults traveling together on vacation is $120. A random sample of 15 such groups of adults has a mean daily meal cost of $115 and a standard deviation of S9 50 Is there enough evidence to reject the claim at ? (a) Write the claim mathematically and identify Ho and Ha Choose the correct answer below 05? Complete parts a through d) below. N 8 Ha: ?#120 ? ?. HOP2120 ??: 120 O D. Ho H> 120 Ha-us 120 28 IAs (b) Calculate the standardized test statistic t(Round to two decimal places as needed) Use technology to calculate the P-value P-value (Round to three decimal places as needed) (c) Decide whether to reject or fail to reject the null hypothesis O A. Reject Ho because the P-value is greater than the significance level, o 05 O B. Reject Ho because the P-value is less than the significance level, 0 05 O c. Fail to reject Ho because the P-value is less than the significance level. 0 05. e to Bro xtra ow to D. ail to reject Ho because the P-value is greater than the significance level, 0.05 fo Click to select your answer(s)

Explanation / Answer

a)Ho mu =120

ha mu not equal to 120

b)
t = mu0-mua/ sd/(sqrt(15))

t = 120-115/ 9.5/(sqrt(15)) = 2.038413

at .05 t t critical = 1.96

as t > t critical

we reject the null

so mu not equal to 115

we calculate p value from R

0.0309027

there is significant evidence at 5% significance the mean is different from 120  

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