Question

5. A company believes that product which is a soccer ball needs adjustment when the standard deviation of five samples of a known concertation exceeds 25 g. During one test, Males (x) Females (y) N=30 N = 25 ?̅= 108 ?̅ = 93.5 sx = 23.5 s? = 14 the following sample measurements wore recorded: 475, 450, 465, 480, and 485 g. Does a confidence interval suggest that the equipment requires adjustment? Explain.

This was the complete question we were given.

Answer 1

The hypothesis being tested is:

Null hypothesis	H₀: σ = 25
Alternative hypothesis	H₁: σ > 25

625.000	hypothesized variance
192.500	observed variance of Data
5	n
4	df
1.23	chi-square
.8728	p-value (one-tailed, upper)
8.31	confidence interval 95.% lower
39.87	confidence interval 95.% upper

The p-value is 0.8728.

Since the p-value (0.8728) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that the equipment requires adjustment.

The 95% confidence interval is between 8.31 and 39.87. Since the confidence interval contains 25, we cannot conclude that the equipment requires adjustment.