Question

32. Ten years ago the mean number of days of skill training per year provided to employees by American businesses was 13.2. A
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Answer #1

(a)
H0: Null Hypothesis: \mu = 13.2

HA: Alternative Hypothesis: \mu < 13.2

(b)

SE= s/\sqrt{n}

= 3.4/\sqrt{49} = 0.4857

Test statistic is given by:

t = (11.9 - 13.2)/0.4857 = - 2.6765

(c)

\alpha = 0.01

ndf = n - 1 = 49 - 1 = 48

One Tail - Left Side Test

From Table, critical value of t = - 2.4066

Rejection Region:

Reject H0 if

t < - 2.4066

(d)

Since the calculated value of t = - 2.6765 is less than critical value of t = - 2.4066, the difference is significant. Reject null hypothesis.

Conclusion:

The data support the claim that mean number of days of skill training per year provided to employees by American businesses is less now.

(e)

t score = - 2.6765

ndf = 48

One Tail - Left Side Test

By Technology, P - Value = 0.0051

Since P - value= 0.0051 is less than \alpha = 0.01, the difference is significant. Reject null hypothesis.

Conclusion:

The data support the claim that mean number of days of skill training per year provided to employees by American businesses is less now.

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