The sugar content of the syrup in canned peaches is normally distributed. a random sample of n = 10 cans yields a sample standard deviation of s = 4.848 milligrams. construct a 95% two-sided confidence interval for σ. round your answers to 2 decimal places.

95% Confidence interval of the standard deviation: 3.33 ≤ σ ≤ 8.85

Step-by-step explanation:

Sample size = 10

Degrees of freedom = 10-1 = 9

For a 95% confidence interval, we have  α=0.05, which gives 2.5% of the area at each end of the chi-square distribution.

We calculate the chi-square values for a 95% confidence interval

Value of chi-square_0.975 = 2.70

Value of chi-square_0.025 = 19.02

We then evaluate " alt="\sqrt{ \frac{(n-1)*s^{2} }{X^{2} }}" />" /> for the two values of chi-square.

Then we have:

" alt="\sqrt{\frac{(n-1)*s^{2} }{X^{2}}} =\sqrt{\frac{(10-1)*4.848^{2} }{2.70}}=\sqrt{78.34}=8.85\\\\\\sqrt{\frac{(n-1)*s^{2} }{X^{2}}} =\sqrt{\frac{(10-1)*4.848^{2} }{19.02}}=\sqrt{11.12}=3.33" />" />

With these results we can express the confidence interval as

3.33 ≤ σ ≤ 8.85

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .