A researcher is going to perform a two-tailed hypothesis test. The test statistic will follow a standard normal distribution. Answer parts (a) and (b) below. You may use the tool below in the scratch work area to help you. Your work with the tool will not be graded. (a) The researcher might choose 0.01, 0.05, or 0.10 for the level of significance for the two-tailed test. For each potential choice for the level of significance, find the critical values. Round your answers to three decimal places. Critical values at a= 0.01 : Critical values at a= 0.05: Critical values at a=0.10: and and and ☐☐☐ (b) After choosing the level of significance, the researcher takes a sample and finds that the value of the test statistic is z=1.874. For which of the levels of significance would the null hypothesis not be rejected? Choose all that apply. na=0.01 na=0.05 na=0.10 None of the above

A researcher wants to select a sample from a population with a mean (µ)= 60 and administer a treatment to individuals in the sample. He thinks the treatment will help improve scores.             a.  State the hypotheses for a one-tailed test.            b. For a one-tailed test, would the critical region be located in the positive or right-hand tail of the distribution, or in the negative or left-hand tail of the distribution?

search A study was conducted that resulted in the following relative frequency histogram. Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable. Yooo Choose the correct answer below. OA. The histogram is not bell-shaped, so a normal distribution could be used as a model for the variable. OB. The histogram is not bell-shaped, so a normal distribution could not be used as a model for the variable. OC. The histogram is bell-shaped, so a normal distribution could not be used as a model for the variable. OD. The histogram is bell-shaped, so a normal distribution could be used as a model for the variable. ly 144 is 4+ 2000 3000 4000 Q Q G 5000 prt sc delete

You work for a soft-drink company in the quality control division. You are interested in the variance of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the variance to be as low as possible. You gather a random sample of 16 containers. Estimate the population variance at a 80% level of confidence. 11.82 11.83 11.85 11.89 11.9 11.97 12 12 12 12.01 12.02 12.04 12.05 12.11 12.16 12.18 Variance of Data: 0.012 Note: Round all values to 3 decimals and use those rounded values in subsequent calculations. a) Find the lower and upper x critical values at 80% confidence: Lower: Upper: b) Report your confidence interval for o?: Lower Bound: Upper Bound: