A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 407 gram setting. It is believed that the machine is overfilling the bags. A 19 bag sample had a mean of 412 grams with a standard deviation of 15. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean $(\mu) = 407$The sample mean $(\overline{x}) = 412$The sample standard deviation $(s) = 15$The sample size $(n) = 19$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 407$$H_a: \mu > 407$…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is overfilling the bags. A 20 bag sample had a mean of 413 grams with a standard deviation of 11. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean $(\mu) = 409$The sample mean $(\overline{x}) = 413$The sample standard deviation $(s) = 11$The sample size $(n) = 20$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 409$$H_a: \mu > 409$…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 406 gram setting. It is believed that the machine is overfilling the bags. A 24 bag sample had a mean of 410 grams with a standard deviation of 14. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean $(\mu) = 406$The sample mean $(\overline{x}) = 410$The sample standard deviation $(s) = 14$The sample size $(n) = 24$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 406$$H_a: \mu > 406$…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 408 gram setting. It is believed that the machine is overfilling the bags. A 21 bag sample had a mean of 412 grams with a standard deviation of 12. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean $(\mu) = 408$The sample mean $(\overline{x}) = 412$The sample standard deviation $(s) = 12$The sample size $(n) = 21$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 408$$H_a: \mu > 408$…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is overfilling the bags. A 23 bag sample had a mean of 415 grams with a standard deviation of 13. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean $(\mu) = 410$The sample mean $(\overline{x}) = 415$The sample standard deviation $(s) = 13$The sample size $(n) = 23$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 410$$H_a: \mu > 410$…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 400 gram setting. It is believed that the machine is overfilling the bags. A 20 bag sample had a mean of 405 grams with a standard deviation of 14. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean $(\mu) = 400$The sample mean $(\overline{x}) = 405$The sample standard deviation $(s) = 14$The sample size $(n) = 20$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 400$$H_a: \mu > 400$…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is overfilling the bags. A 22 bag sample had a mean of 410 grams with a standard deviation of 12. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean $(\mu) = 405$The sample mean $(\overline{x}) = 410$The sample standard deviation $(s) = 12$The sample size $(n) = 22$ The significance level $(\alpha) = 0.1$ Solution:The null and alternative hypothesis: $H_0: \mu = 405$$H_a: \mu > 405$…

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 407 gram setting. It is believed that the machine is overfilling the bags. A 21 bag sample had a mean of 411 grams with a standard deviation of 13. Assume the population is normally distributed. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to three decimal places.

Answer:Given:The hypothesized mean $ (\mu) = 407 $The sample mean $ (x\bar) = 411 $The sample standard deviation $ (s) = 13 $The sample size $ (n) = 21 $ The significance level $ (\alpha) = 0.1 $ Solution:The null…

The sample mean and standard deviation from a random sample of 25 observations from a normal population were computed as $x̄ = 40$ and $s = 14$. Calculate the t statistic of the test required to determine whether there is enough evidence to infer at the 2% significance level that the population mean is greater than 38.

Test Statistic = ___ Answer : Given : The sample mean $(x̄) = 40$ The sample standard deviation $(s) = 14$ The sample size $(n) = 25$ The significance level $(α) = 0.02$ Solution : The null and alternative hypothesis,…