A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers. The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch. A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be š = $14.50 . Based on previous surveys, the restaurant informs the marketing manager that the standard deviation is o = $3.50 . To address the CEO's conjecture, the marketing manager carried out a test of the hypothesis Họ : µ = 13.50 vs. Ha : µ > 13.50 and obtained a P-value of p = 0.077.

A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers. The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch. A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be = $14.50. Based on previous surveys, the restaurant informs the marketing manager that the standard deviation is o = $3.50. To address the CEO's conjecture, the marketing manager decides to carry out a test of hypothesis. The null hypothesis should be: O a. Ho: µ = 13.50. %3D O b. Ho: µ = 14.50. O c. Ho: µ < 13.50. O d. Ho: µ s 14.50.

Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 1212 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $42,000$⁢42,000 with a standard deviation of $9800$⁢9800. Fifteen people with doctoral degrees in education were found to have a mean annual salary of $50,000$⁢50,000 with a standard deviation of $9200$⁢9200. Assume that the population variances are not the same. Construct a 90%90% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.

The Jimmy John’s store manager on Hwy. 46 wanted to know more about their customers.  She decides to focus on two variables: the average ticket spent by customers, and whether customers would consider purchasing ice cream if it was available.  She interviewed 54 customers over a two-week period.  Results of her research showed average ticket was $10.89 with a standard deviation of $2.35.  Twenty-two customers said they would purchase ice cream if it was available. INCLUDE EXCEL EQUATIONS. Assume the store manager wants to conduct a similar survey at the National Road store. Answer the following questions: c. What sample size is needed to have 95% confidence of estimating the population average ticket in this store to within plus/minus $1.00 if the standard deviation is assumed to be $2.35? d. How many customers need to be selected to have 90% confidence of estimating the population proportion who would consider purchasing ice cream plus/minus 0.10 (10%)?

The Pew Internet and American Life Project surveyed 351 adults in 2019, asking them about their texting habits. Among men, the mean number of text messages sent per day was 54.2, and among women it was 58.6. Assume that 107 men and 244 women were sampled, and that the standard deviations were 24.3 for men and 20 for women. Can you conclude that the mean number of text messages differs between men and women? Use the a = 0.08 level. a. State the null and alternative hypotheses. Ho: H₁ V OF H₂ H₁: H₁ ✓ -3 -2 -1 0 b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: Critical value(s): homin 2 3 -3 -2 -1 0 2 3 -3 -2 -1 0 -1.756, 1.7 x c. Find the test statistic. = V -1.773 X OF (If there are two critical values, list both values separated by a comma) d. Find the p-value. H₂ 0.0771 X 2 3 ४

Janet is planning to rent a booth at a festival for a day to sell clothes that she has made. She sells jackets for $204 and skirts for $165. Her past experiences suggests that sales of jackets will have a mean of 7.6 with a standard deviation of 1.9, and sales of skirts will have a mean of 11.3 with a standard deviation of 2.7. The cost of renting the booth for the day is $232. What are the mean and standard deviation of her net income? [Hint: you should first define random variables and use them to express her net income] O A. u= $3182.9, o = $3414.9 O B. µ= $3414.9, o = $590.51 O C. u= $3182.9, o = $590.51 Q D. p= $3182.9, o = $44.04 O E. p= $3414.9, o = $44.04

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 )…

Airline Fares. The mean airfare for flights departing from Buffalo Niagara International Airport during the first three months of 2017 was $320.51. Assume the standard deviation for this population of fares is known to be $80. Suppose a random sample of 60 flights departing from Buffalo Niagara International Airport during the first three months of 2018 is taken. If the mean and standard deviation of the population of airfares for flights departing from Buffalo Niagara International Airport didn’t changed between the first three months of 2017 and the first three months of 2018, what is the probability the sample mean will be within $20 of the population mean cost per flight? What is the probability the sample mean will be within $10 of the population mean cost per flight?

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( ? ♥ ?…

Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a three-bedroom house using gas or electric energy had a mean of $117 and a standard deviation of $13. If the distribution can be considered normal: Approximately what percentage of homes will have a monthly utility bill less than $78? Note: Do NOT include the "%" sign Do NOT round any decimals, if applicable