Question

The following data represents the calorie-content per 1/2-cup serving for 16 randomly selected flavours of Jen...

The following data represents the calorie-content per 1/2-cup serving for 16 randomly selected flavours of Jen and Berry's Ultra-Creamy Ice Cream:

         270, 150, 170, 140, 160, 160, 290, 190, 190, 160, 170, 150, 110, 180, 170, 185

It is also known that the samples are form the normal population with the standard deviation 45.

(a) What is the point estimate of mean for calorie-content per 1/2-cup serving? Calculate margin of error when ?=0.05

(b) Construct a 95% confidence interval for calorie-content per 1/2-cup serving. Interpret the confidence interval.

PLEASE SHOW ALL WORK, thank you! :)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

(A) Point estimate is sample mean

sample mean = (sum of data values)/(number of data values)

= (270+150+170+140+160+160+290+190+190+160+170+150+110+180+170+185)/16

= 2845/16 = 177.8125

Margin of error = , where z = 1.96 for alpha 0.05, (given values)

(B) Confidence interval = E

CI = 177.8125 22.05

CI = (155.7625,199.8625)

We are 95% confident that the true mean  calorie-content per 1/2-cup serving is between 155.7625 and 199.8625

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A company tested 11 random brands of vanilla yogurt and found the number of calories per...
A company tested 11 random brands of vanilla yogurt and found the number of calories per serving given below.​ (Note that more than 110 different brands of vanilla yogurt​ exist.) 140   150    160    130    110    100    160    150    110    130    100     1) Find a​ 95% confidence interval for the average calorie content of vanilla yogurt per serving. 2) Interpret this interval for someone looking to buy yogurt A. A randomly selected serving of yogurt has a​ 90% chance of having...
Complete the following for each problem below (this should all be calculated by hand, show work...
Complete the following for each problem below (this should all be calculated by hand, show work to receive full credit): a) State the null and alternative hypotheses (2 pts) b) Choose the appropriate statistical procedure (independent or paired t-test) (2 pt) c) Identify the level of significance and corresponding critical value (2 pts) d) Calculate t (5 pts) e) Express your results in terms of p-values (p < or p > α) (1 pt) f) Determine whether your results are...
Consumer Reports tested 14 brands of vanilla yogurt and found the following numbers of calories per...
Consumer Reports tested 14 brands of vanilla yogurt and found the following numbers of calories per serving: 160 200 220 230 120 180 140 130 170 190 80 120 100 170 a. Use the R command qqnorm(x) where x is the data set to obtain the normal probability plot of the data set. Is it reasonable to assume the data set is normally distributed? Why or why not? b. Regardless of the answer in part (a), assume the data set...
Q. Output       AFC          AVC        ATC    MC               0 &nbs
Q. Output       AFC          AVC        ATC    MC               0         $ 300            $ ---          $ ---         $ ---            1    300    100          400         100            2         150                75            225         50            3         100                 70          170          60             4           75                 73         148         80             5          60                   80       140        110             6          50 90       140         140             7           43                 103        146      180             8            38                 119        156      230              9           33                 138         171      290              10         ...
1. (30 pts) The following data are the rates of oxygen consumption of birds, measured at...
1. (30 pts) The following data are the rates of oxygen consumption of birds, measured at different environmental temperatures: T (°C) -18 -15 -10 -5 0 5 10 19 O2 consumption (ml/g/hr) 5.2 4.7 4.5 3.6 3.4 3.1 2.7 1.8 a) Calculate the intercept, a, and slope, b, for the regression of oxygen consumption rate on temperature. b) Test the null hypothesis H0: β = 0, by analysis of variance. c) Test the null hypothesis H0: β = 0, by...
2. (Lesson 11) The “Year” variable represents whether each student identified as a first-year student, sophomore,...
2. (Lesson 11) The “Year” variable represents whether each student identified as a first-year student, sophomore, junior, or senior. Use Minitab Express to conduct a chi-square test to determine if the proportions of students who identify as each year are not all equal. Use the five-step hypothesis testing procedure. [25 points] Step 1: State hypotheses and check assumptions Step 2:Compute the test statistic Step 3: Determine the p-value Step 4: Make a decision (reject or fail to reject the null)...
Pat.# Before After 1 195 125 To the left is 2 datasets measured for a sample...
Pat.# Before After 1 195 125 To the left is 2 datasets measured for a sample of 107 patients with the high cholesterol level before and after taking medication. Obtain the following for both sets: 2 208 164 3 254 152 1- the mean, mode and median 4 226 144 5 290 212 2- the variance and standard deviation 6 239 171 7 216 164 3- First, second and third quartiles 8 286 200 9 243 190 10 217 130...
I. Solve the following problem: For the following data: 1, 1, 2, 2, 3, 3, 3,...
I. Solve the following problem: For the following data: 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6 n = 12 b) Calculate 1) the average or average 2) quartile-1 3) quartile-2 or medium 4) quartile-3 5) Draw box diagram (Box & Wisker) II. PROBABILITY 1. Answer the questions using the following contingency table, which collects the results of a study to 400 customers of a store where you want to analyze the payment method. _______B__________BC_____ A...
Open Three Hospitals data. SETUP: It is believed that the number of injuries recorded in hospital...
Open Three Hospitals data. SETUP: It is believed that the number of injuries recorded in hospital 1 is different from the number of injuries recorded in hospital 2. Given the data your job is to confirm or disprove this assertion. 10. What test/procedure did you perform? (4 points) a. Regression b. Two sided t-test c. One sided t-test d. Confidence Interval 11. What is the statistical interpretation? (4 points) a. Average of data is inconsistent with the claim b. P-value...
Your IT department provided you data on patients that received ER services, their GHHS, and their...
Your IT department provided you data on patients that received ER services, their GHHS, and their recovery time. Prepare a report to share with the owners of the facility that will help you make informed decisions about how long you can expect a patients’ recovery time would be based on their GHHS. Based on your findings provide recommendations on your plan moving forward to improve the functioning of your facilities in generating revenue. Prepare a report that addresses each of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT