For the following claim, find the null and alternative hypotheses, test statisti

Question

For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d.

(a) null and alternative hypothesis

(b) test statistics

(c) p-value

(d) conclusion/analysis

Claim: The mean IQ score of statistics professors is greater than 133.

Sample data:

n=12,

x over bar =134,

s=14.

The significance level is =0.05.

Homework: 8-4 HW Score: 71.6796, 43 of 6 pts 5 of 6 (6 complete) v Score: 0.25 of 1 pt Quest on Hep 8.4.17 womanomaly populaton Forthe flowing daim, find the nul and anematve hypoeesestest statste artica value, and draw a conclusion. Assume that a simple random sample has been selected Answer pans ad. Claim The mean score of professors is greater tan 133 Sample data n.12.x 130 s 14. The significance level is a 005. R clckte ioon to view a table ofertealtvalues. a Choose the correct null hypothesis (Heland ahemative hypothesis(H) MA How He w 133 133 MacBook Pro

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =4.0415

b)hence test statistic =(X-mean)/std error =(134-133)/4.0415=0.2474

c)p value =0.4046

d)do not reject null hypothesis

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