In a random sample of 15 cereal boxes, the mean weight was 11.89 ounces and the standard deviation was .05 ounce. Assume the weights of the cereal boxes are normally distributed and the population standard deviation is 0.05 ounce.  Construct a 95 percent confidence interval for the population mean.  Interpret the results.

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 19 with a standard deviation of 18 days. Assume the data to be approximately bell-shaped. Approximately 95% of all customer accounts have the average number of days between two values A and B. What is the value of B? Write only a number as your answer.

Assume that the SAT test scores are normally distributed with a mean score of 1200 and a standard deviation of 150. ACT test scores are normally distributed with a mean score of 22 and a standard deviation of 3 Mike scored 1250 on the SAT. What proportion of all test takers did Mike score higher than? If Mike scored a 1250 on the SAT and Jes scored a 26 on the ACT, then who's score is relatively better?

Calculate z scores from two samples The tallest living man at one time had a height of 252 cm. The shortest living man at that time had a height of 30.3 cm. Heights of men at that time had a mean of 170.25 cm and a standard deviation of 8.47 cm. Answer Z score for the tallest man Z-score for the shortest men

The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0:             Ha:Ha:             (So we will be performing a      test.)Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are     with distribution mean  and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P(        )=P()=P(        )=)=pp-value==Step 4: Make a Conclusion…

A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?

A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago.  Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years.  The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old.  Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. Choose the correct answer from the parenthesis. (i)  Hypotheses       ?0:   ?  =  ( 0, 2.2, 22.7, 24.3, 25, 40) ______________ .     ?1:    ?  =  ( < , > ) ______________   ( 0, 2.2, 22.7, 24.3, 25, 40) ________________ . (ii)  Test Statistic     ( z/ t )…

The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one school year. The speed limit on that part of Reynolds Rd is 20 mph. The mean of the speed readings was 24.19 mph, with a standard deviation of 3.56 mph.

The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…

the mean weight of a group of boys is 145 lb, with a standard deviation of 5lb. if the weights are normally distributed, what percent of the boys from the group weigh between 142 lb and 152lb?