Test the Claim: Conduct a 4 step Hypothesis Test. A simple random sample of 15-y

Question

Test the Claim: Conduct a 4 step Hypothesis Test. A simple random sample of 15-year old boys from one city is obtained and their weights (in pounds) are listed below. Use a 0.01 significance level to test the claim that the population mean is greater than 147 lb. 146 140 160 151 134 189 157 144 175 127 164 b) Use your conclusion to determine if a boy who weighs 150 lbs is considered over weight? Why? The mean monthly cell phone bill for one household was less than $99. Identify the type I and type II errors for the hypothesis test of this claim.

Explanation / Answer

Hypothesis;

H0 : mu = 147

Ha; mu > 147

test statistic:

x = 153.36 , std.deviation = 18.18 , n =11

t = ( x - mean) / ( s /sqrt(n))

= ( 153.36 - 147) /( 18.18/ sqrt(11))

= 1.16

Now, we need to find p value using t = 1.16 , df = 10

p value = 0.136497.

As p value is greater than significance level 0.01 .So, we fail to reject the null hypothesis. This is means that we can not conclude the claim that the population mean is greater than 147lbs.

b)

For 150lbs, the p-value will be greater than above. This means boy who weighs 150lbs is not over weight.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.