A marketing researcher wants to estimate the mean amount spent per year (5) on a web site by membership member shoppers. Suppose a random sample of 130 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $54. Complete parts (a) and (D) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is diferent from S497 (Use a 0.05 level of significance.) State the null and alternative hypotheses. H, (Type integers or decimals. Do not round. Do not include the S symbol in your answer.) Identify the critical value(s). The critical value(s) islare (Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic The test statistic, tyTAT. isO (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. H. There is evidence that the population mean spent by membership member customers is dferent from S49. b. Determine the p-value and interpret its meaning The p-value isO (Type an integer or a decimal. Round to three decimal places as needed) Interpret the meaning of the p-value. Select the correct answer below. OA. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 away from S49 ir the null hypothesis is true. OB. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 below S49 the null hypothesis is false O. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 above S49 he null hypothesis is false. OD. The p-value is the probability of not rejecting the null hypothesis when it is false.

Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of 0.22 inches and a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are more than 0.18 inches? Round your answer to at least four decimal places.

Suppose that water usages in American showers are normally distributed, with an average shower using 20 gallons, and a standard deviation of 3.2 gallons. Estimate the percentage of showers that used (a) between 13.6 and 26.4 gallons. % (b) more than 26.4 gallons. % (c) less than 10.4 gallons. % (d) between 16.8 and 29.6 gallons. %

According to a recent article about individuals who have credit cards, the mean number of cards per person with credit cards is 4.5. To test this result a random survey of 60 individuals who have credit cards was conducted. The survey only includes the number of credit cards per participant. The results of the survey are attached below. (a) What is the variable of interest in this study? Is it qualitative or quantitative? (b) Do the results of the survey imply that the mean number of cards per individual is less than 4.5? Use the a = 0.05 level of significance. E Click the icon to view the data from the survey. (a) What is the variable of interest in this study? Is it qualitative or quantitative? The variable of interest is number of credit cards.It is a quantitative variable. (b) Do the results of the survey imply that the mean number of cards per individual is less than 4.5? Use the a = 0.05 level of significance. State the null and alternative hypotheses. Họ: H = 4.5 < 4.5 H1: H…