9.4.43 Question Help * In Country A, the population mean height for 3-year-old b

Question

9.4.43 Question Help * In Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 37.1 inches with a standdard deviation of 3 inches The boys were inlependently sampled. Assume that heights are Nomally distributed in the population Complete parts a through belaw. a. Determine whether the population mean for Country B boys is sig ificantly different from the Country A mean Use significance level of 005 Which of the following correctly states Ho and H.? O A. O b. Ho : 38 Hai #38 Ho: z 38 Ho-38 Ha:H38 Ho: > 38 O B. Ho -38 C. Ha 38 Find the test statistic. 1.16 Type an integer or decimal rounded to two decimal places as needed) Find the p-value Type an integer or decimal rounded to three decimal places as needed.)

Explanation / Answer

Solution :

Given that,

This is the two tailed test

n = 15

Degrees of freedom = n - 1 = 15 - 1 = 14 and t = 1.16

P(t < -1.16) = 0.1327

P-value = 0.1327 * 2 = 0.265

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