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  3. 1. (a) a statistician randomly sampled 100 observa

1. (a) A statistician randomly sampled 100 observations and found = 106 and s = 35. Calculate...

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Basic Math

1. (a) A statistician randomly sampled 100observations and found

= 106 and s = 35. Calculate the t-statisticand p-value for testing

H0: μ = 100 vsHA: μ > 100.

Carry out the test at the 1% level of significance.

(b) Repeat part (a), with s = 25.

(c) Repeat part (a), with s = 15.

(d) Discuss what happens to the t-statistic and thep-value when the standard deviation decreases.

2. Repeat Question 1 usingHA: μ ≠ 100.

Answer & Explanation Solved by verified expert
4.3 Ratings (845 Votes)
1a H0 100 vs HA 100 alpha001 t xbarmeanssqrtn t 10610035sqrt100 t 63510 t 635 t 171 df 100199 The pvalue is 045199 Since P value is GREATER than the level of    See Answer
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