Question

Question 12 (4.2 points) A test is made of Ho: mean = 71 versus Hy: mean < 71. The true value of the mean is 35, and Ho is not rejected. Is this a Type 1 error, Type II error, or a correct decision? Type II error Type I error Correct decision Question 13 (4.2 points) Consider the following hypotheses: Ho: mean = 7 Hi: mean = 7 A test is performed with a sample of size 36. The sample mean was 2.97 and the population standard deviation is 18. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value. Round your answer to four decimal places (for example: 0.0138). Write only a number as your answer. Your Answer: Answer

Answer 1

Ans. 12

H0 :mean = 71 vs H1 : mean < 71

And H0 :mean = 71 not rejected.

Type I Error : Reject the null hypothesis H0, when H0 is true.

Type II Error : Fail to reject the null hypothesis H0 when H0 is false.

But Here true mean = 35 indicates that H0 is false but not rejected. Thats mean this is Type II Error.

Ans. 13

$\small Sample \;mean \;(\bar{x})=2.97,\;Sample \;size\;(n)=36$$\small ,\;Population \;standard \;deviation\;(\sigma)=18$

Hypothesis: -

$\small H_{0}:Mean(\mu) =7$

$\small H_{1}:Mean(\mu) \neq7$

Using TI-84 Plus calculator:-

1. STAT --> TESTS--> 1:Z-Test, then ENTER

2. Select Stats and enter data $\small (\mu_{0},\sigma,\bar{x},n)$ and then

3. Choose alternative $\small (\mu:\neq\;\mu_{0}\;\;<\mu_{0}\;\;>\mu_{0})$

4. Select Calculate and ENTER.

EDIT_CALC TESTS 5:2-SamPZIest.. 4:2-SampTTest. 5:1-ProPZIest.... 6:2=Prop Test. 71ŽInterval...

Z-Test Inpt:Data s MO:7 H:#0 (NO SHO Calculate Draw

333333 ==2 d Tit-Վ Z-Test – Էյ- | +/-- մլ = 1 որ– սիՒՆ E II II II II TËN LIX F=

P-value = 0.1792