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Take a Test-Laura Edwards-Google Chrome Secure https//www.mathol com aspx ?test 594145088 centenwin yes /Student/PlayerTest Laura Edwards 5/16/17 7:10 PM MAT 167 Principle of Statistics Spring 2017 -OLCR-CCC Test MAT 167 Final Exam Time Remaining: 02:45:00 Submit Test This Question 1pt This Test: 20 pts possible 16 of 20 (0 complete) A travel association claims that the mean daily meal cost for two adults traveling together on vacation is $120. Arandom sample of 15 such groups of adults has a meandaily meal cost of $125 and a standard deviation of $9.50. ls there enough evidence to reject the claim at t 0.05? Complete parts (a hrough (d) below. (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: 2120 O B. Ho: 120 Ha: 1200 p Ha: HE 120 O C. Ho: $120 O D. Ho: H 120 Ha: 120 Ha: H 120 (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. Fail to reject Ho because the P-value is less than the significance level, 0.05 O B. Fail to reject Ho because the P-value is greater than the significance level, 0.05 O C. Reject Ho because the P-value is less than the significance level, 0.05 O D. Reject Ho because the P-value is greater than the significance level, 0.05 (d) Interpret the decision in the context of the original claim. O A. There is sufficient evidence at the 5% level of significance to reject the travel associations claim that the mean daily meal cost for two adults traveling together on vacation is not $120. O B. There is not sufficient evidence at the 5% level of significance to reject the travel association's claim thatthe mean daily meal cost for two adults traveling together on vacation is $120. O C. There is not sufficient evidence at the 5% level of significance to reject the travel association's claim that the mean daily meal cost for two adults traveling together on vacation is not $120, O D. There is sufficient evidence at the 5% level of significance to reject the travel association's claim that the mean daily meal cost for two adults traveling together on vacation is $120. Click to select your answer(s). 7:10 PM 5/16/2017

Explanation / Answer

(a) Option B

(b) The test statistic t = 2.04

The p value for a 2 tailed test at t = 2.04, for degrees of freedom = n-1 = 15-1 = 14 is 0.061

(c) OPTION B Fail to reject H0 since p value is > level of significance

(d) OPTION B

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