National surveys of college students show they exercise an average of 5 hours pe

Question

National surveys of college students show they exercise an average of 5 hours per weck. Do Nazareth College undergraduate students follow this pattern? Using the summary statisties below, test whether the data provide evidence that Nazareth College undergraduate students exercise a different amount than the US national average. Use the a0.05 significance evel. Descriptive Statistics: Amount of Exercise N Mean S St Dev Minimum 1 Medan 03 Maximum Variable Amount of Exercise 67 6.269 0.679 5.556 .000 3.000 .000 9.00025000 a)State the null hypothesis (in symbols and in words) b) State the alternative hypothesis (in symbols and in words) Use the formula to calculate the test statistic. (Show your work.) Round to two decimal places. d) Which distribution do you use to find the p value? What is the p-value? f Complete the sketch. Label the axis with the appropriate seven numbers. Mark the test statistic. Shade and label the appropriate portion of the distribution that we use in this hypothesis test ) Do you reject the null hypothesis? (Circle Yes or No) Explain how you know. h) Write a sentence describing the strength of evidence (if any) in the context of this problem.

Explanation / Answer

a)
null Hypothesis;
H0 : mu = 5
mu equal to 5
b)
alternative hypothesis:
Ha : mu not equal to 5
mu not equal to 5

c)
Test statistics:

x = 6.269 , n = 67 , s = 5.556

z = ( x - mean) / SE
= ( 6.269 - 5)/ 0.679
= 1.87
d)
we use normal z distribution to find p value
e)
p value = 0.0615

f)

g)we fail to reject the null hypothesis because p value is greater than 0.05 level

g)
there is no sufficient evidence to support the claim

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