Name Homework 7 A researcher is testing the accuracy of the stated calories for
ID: 3061977 • Letter: N
Question
Name Homework 7 A researcher is testing the accuracy of the stated calories for a certain cereal. The company that makes the cereal claims this particular product has 323 calories per serving. Previous studies have shown that the distribution for the population of calories in these cereals is slightly skewed. She randomly collects a sample of 17 cereals and finds a mean of 352 calories and a standard deviation of 19. An advocacy group for childhood obesity is concemed that the company is understating the calories in the product 1. a) Are the requirements met to do statistical inference? Why or why not? b) State the appropriate null and alternative hypotheses. State your conclusion. Is there statistically significant evidence that the company is understating the calories in this cereal? c) d) Find a 95% confidence interval. e) Is your answer to d) consistent with c)? Why or why not?Explanation / Answer
a)
Yes, it met to do statistical inference.
it is based on hypothesis testing.The goal of hypothesis testing is to decide which of two complementary statements about a population is true.
b)
Null hypothesis: mu = 323
Alternative hypothesis: mu not equal to 323
c)
n = 17 , x =352 , s = 19
t = ( x - mean) / ( s/sqrt(n))
= ( 352 - 323) / ( 19/sqrt(17))
= 6.2931
p value is calculated using t = 6.2931 , df = 16 at 0.05 significance level
p value = .000011.
There is sufficient evidence to support the claim.
we reject the null hypothesis.
d)
t value at 95% CI = 2.1199
CI = mean +/- t * ( s/sqrt(n))
= 323 +/- 2.1199 * ( 19/ sqrt(17))
= (313.2311 ,332.7689)
e)
Yes, it consistent ,because mean value is lie between the confidence interval
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.